{"id":17186,"date":"2020-02-21T04:31:14","date_gmt":"2020-02-21T04:31:14","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/wm-developmentalemporium\/?post_type=chapter&p=17186"},"modified":"2020-07-02T05:42:54","modified_gmt":"2020-07-02T05:42:54","slug":"problem-set-applications-with-decimals","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/cpcc-algebra-trig-I-support\/chapter\/problem-set-applications-with-decimals\/","title":{"raw":"Problem Set: Ratios, Rates, Probabilities, and Averages","rendered":"Problem Set: Ratios, Rates, Probabilities, and Averages"},"content":{"raw":"

Calculate the Mean of a Set of Numbers<\/strong><\/h3>\r\nIn the following exercises, find the mean.\r\n
    \r\n \t
  1. [latex]3[\/latex] , [latex]8[\/latex] , [latex]2[\/latex] , [latex]2[\/latex] , [latex]5[\/latex]\r\n[reveal-answer q=\"175532\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"175532\"]4[\/hidden-answer]<\/li>\r\n \t
  2. [latex]6[\/latex] , [latex]1[\/latex] , [latex]9[\/latex] , [latex]3[\/latex] , [latex]4[\/latex] , [latex]7[\/latex]<\/li>\r\n \t
  3. [latex]65[\/latex] , [latex]13[\/latex] , [latex]48[\/latex] , [latex]32[\/latex] , [latex]19[\/latex] , [latex]33[\/latex]\r\n[reveal-answer q=\"168700\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"168700\"]35[\/hidden-answer]<\/li>\r\n \t
  4. [latex]34[\/latex] , [latex]45[\/latex] , [latex]29[\/latex] , [latex]61[\/latex] , and [latex]41[\/latex]<\/li>\r\n \t
  5. [latex]202[\/latex] , [latex]241[\/latex] , [latex]265[\/latex] , [latex]274[\/latex]\r\n[reveal-answer q=\"761370\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"761370\"]245.5[\/hidden-answer]<\/li>\r\n \t
  6. [latex]525[\/latex] , [latex]532[\/latex] , [latex]558[\/latex] , [latex]574[\/latex]<\/li>\r\n \t
  7. [latex]12.45[\/latex] , [latex]12.99[\/latex] , [latex]10.50[\/latex] , [latex]11.25[\/latex] , [latex]9.99[\/latex] , [latex]12.72[\/latex]\r\n[reveal-answer q=\"98342\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"98342\"]11.65[\/hidden-answer]<\/li>\r\n \t
  8. [latex]28.8[\/latex] , [latex]32.9[\/latex] , [latex]32.5[\/latex] , [latex]27.9[\/latex] , [latex]30.4[\/latex] , [latex]32.5[\/latex] , [latex]31.6[\/latex] , [latex]32.7[\/latex]<\/li>\r\n \t
  9. [latex]2,4,1,0,1,\\text{and}1[\/latex]<\/li>\r\n \t
  10. [latex]{$270}[\/latex] , [latex]{$310.50}[\/latex] , [latex]{$243.75}[\/latex] , and [latex]{$252.15}[\/latex]\r\n[reveal-answer q=\"851158\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"851158\"]$269.10[\/hidden-answer]<\/li>\r\n \t
  11. Each workday last week, Yoshie kept track of the number of minutes she had to wait for the bus. She waited [latex]3,0,8,1, and 8[\/latex] minutes. Find the mean<\/li>\r\n \t
  12. In the last three months, Raul\u2019s water bills were [latex]{$31.45}, {$48.76},\\text{and} {$42.60}[\/latex]. Find the mean.\r\n[reveal-answer q=\"368163\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"368163\"]$40.94[\/hidden-answer]<\/li>\r\n<\/ol>\r\n

    Calculate the Mean of a Set of Numbers in Applications<\/strong><\/h3>\r\nIn the following exercises, find the mean.\r\n
      \r\n \t
    1. Four girls leaving a mall were asked how much money they had just spent. The amounts were [latex]{$0}[\/latex] , [latex]{$14.95}[\/latex] , [latex]{$35.25}[\/latex] , and [latex]{$25.16}[\/latex] . Find the mean amount of money spent.\r\n[reveal-answer q=\"325048\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"325048\"]$18.84[\/hidden-answer]<\/li>\r\n \t
    2. Juan bought [latex]5[\/latex] shirts to wear to his new job. The costs of the shirts were [latex]{$32.95}[\/latex] , [latex]{$38.50}[\/latex] , [latex]{$30.00}[\/latex] , [latex]{$17.45}[\/latex] , and [latex]{$24.25}[\/latex] . Find the mean cost.<\/li>\r\n \t
    3. The number of minutes it took Jim to ride his bike to school for each of the past six days was [latex]21[\/latex] , [latex]18[\/latex] , [latex]16[\/latex] , [latex]19[\/latex] , [latex]24[\/latex] , and [latex]19[\/latex] . Find the mean number of minutes.\r\n[reveal-answer q=\"270800\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"270800\"]19.5 minutes[\/hidden-answer]<\/li>\r\n \t
    4. Norris bought six books for his classes this semester. The costs of the books were [latex]{$74.28}[\/latex] , [latex]{$120.95}[\/latex] , [latex]{$52.40}[\/latex] , [latex]{$10.59}[\/latex] , [latex]{$35.89}[\/latex] , and [latex]{$59.24}[\/latex] . Find the mean cost.<\/li>\r\n \t
    5. The top eight hitters in a softball league have batting averages of [latex].373[\/latex] , [latex].360[\/latex] , [latex].321[\/latex] , [latex].321[\/latex] , [latex].320[\/latex] , [latex].312[\/latex] , [latex].311[\/latex] , and [latex].311[\/latex] . Find the mean of the batting averages. Round your answer to the nearest thousandth.\r\n[reveal-answer q=\"699\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"699\"]0.329[\/hidden-answer]<\/li>\r\n \t
    6. The monthly snowfall at a ski resort over a six-month period was [latex]60.3[\/latex], [latex]79.7[\/latex], [latex]50.9[\/latex], [latex]28.0[\/latex], [latex]47.4[\/latex], and [latex]46.1[\/latex] inches. Find the mean snowfall.<\/li>\r\n<\/ol>\r\n

      Find the Median of a Set of Numbers<\/strong><\/h3>\r\nIn the following exercises, find the median.\r\n
        \r\n \t
      1. [latex]24[\/latex] , [latex]19[\/latex] , [latex]18[\/latex] , [latex]29[\/latex] , [latex]21[\/latex]\r\n[reveal-answer q=\"355851\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"355851\"]21[\/hidden-answer]<\/li>\r\n \t
      2. [latex]48[\/latex] , [latex]51[\/latex] , [latex]46[\/latex] , [latex]42[\/latex] , [latex]50[\/latex]<\/li>\r\n \t
      3. [latex]65[\/latex] , [latex]56[\/latex] , [latex]35[\/latex] , [latex]34[\/latex] , [latex]44[\/latex] , [latex]39[\/latex] , [latex]55[\/latex] , [latex]52[\/latex] , [latex]45[\/latex]\r\n[reveal-answer q=\"395449\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"395449\"]45[\/hidden-answer]<\/li>\r\n \t
      4. [latex]121[\/latex] , [latex]115[\/latex] , [latex]135[\/latex] , [latex]109[\/latex] , [latex]136[\/latex] , [latex]147[\/latex] , [latex]127[\/latex] , [latex]119[\/latex] , [latex]110[\/latex]<\/li>\r\n \t
      5. [latex]4[\/latex] , [latex]8[\/latex] , [latex]1[\/latex] , [latex]5[\/latex] , [latex]14[\/latex] , [latex]3[\/latex] , [latex]1[\/latex] , [latex]12[\/latex]\r\n[reveal-answer q=\"766015\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"766015\"]4.5[\/hidden-answer]<\/li>\r\n \t
      6. [latex]3[\/latex] , [latex]9[\/latex] , [latex]2[\/latex] , [latex]6[\/latex] , [latex]20[\/latex] , [latex]3[\/latex] , [latex]3[\/latex] , [latex]10[\/latex]<\/li>\r\n \t
      7. [latex]99.2[\/latex] , [latex]101.9[\/latex] , [latex]98.6[\/latex] , [latex]99.5[\/latex] , [latex]100.8[\/latex] , [latex]99.8[\/latex]\r\n[reveal-answer q=\"747203\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"747203\"]99.65[\/hidden-answer]<\/li>\r\n \t
      8. [latex]28.8[\/latex] , [latex]32.9[\/latex] , [latex]32.5[\/latex] , [latex]27.9[\/latex] , [latex]30.4[\/latex] , [latex]32.5[\/latex] , [latex]31.6[\/latex] , [latex]32.7[\/latex]<\/li>\r\n \t
      9. [latex]41[\/latex] , [latex]45[\/latex] , [latex]32[\/latex] , [latex]60[\/latex] , [latex]58[\/latex]<\/li>\r\n \t
      10. [latex]25[\/latex] , [latex]23[\/latex] , [latex]24[\/latex] , [latex]26[\/latex] , [latex]29[\/latex] , [latex]19[\/latex] , [latex]18[\/latex] , [latex]32[\/latex]\r\n[reveal-answer q=\"979853\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"979853\"]24.5[\/hidden-answer]<\/li>\r\n<\/ol>\r\n

        Find the Median of a Set of Numbers in Applications<\/strong><\/h3>\r\nIn the following exercises, find the median.\r\n
          \r\n \t
        1. Last week Ray recorded how much he spent for lunch each workday. He spent [latex]{$6.50}[\/latex] , [latex]{$7.25}[\/latex] , [latex]{$4.90}[\/latex] , [latex]{$5.30}[\/latex] , and [latex]{$12.00}[\/latex] . Find the median.\r\n[reveal-answer q=\"967918\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"967918\"]$6.50[\/hidden-answer]<\/li>\r\n \t
        2. Michaela is in charge of 6 two-year olds at a daycare center. Their ages, in months, are [latex]25[\/latex] , [latex]24[\/latex] , [latex]28[\/latex] , [latex]32[\/latex] , [latex]29[\/latex] , and [latex]31[\/latex] . Find the median age.<\/li>\r\n \t
        3. Brian is teaching a swim class for [latex]6[\/latex] three-year olds. Their ages, in months, are [latex]38,41,45,36,40,\\text{and}42[\/latex]. Find the median age.\r\n[reveal-answer q=\"330193\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"330193\"]40.5 months[\/hidden-answer]<\/li>\r\n \t
        4. Sal recorded the amount he spent for gas each week for the past [latex]8[\/latex] weeks. The amounts were [latex]{$38.65}[\/latex], [latex]{$32.18}[\/latex], [latex]{$40.23}[\/latex], [latex]{$51.50}[\/latex], [latex]{$43.68}[\/latex], [latex]{$30.96}[\/latex], [latex]{$41.37}[\/latex], and [latex]{$44.72}[\/latex]. Find the median amount.<\/li>\r\n \t
        5. The ages of the eight men in Jerry\u2019s model train club are [latex]52,63,45,51,55,75,60,\\text{and}59[\/latex]. Find the median age.<\/li>\r\n \t
        6. The number of clients at Miranda\u2019s beauty salon each weekday last week were [latex]18,7,12,16,\\text{and}20[\/latex]. Find the median number of clients.\r\n[reveal-answer q=\"488843\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"488843\"]16 clients[\/hidden-answer]<\/li>\r\n<\/ol>\r\n

          Identify the Mode of a Set of Numbers<\/strong><\/h3>\r\nIn the following exercises, identify the mode.\r\n
            \r\n \t
          1. [latex]2[\/latex] , [latex]5[\/latex] , [latex]1[\/latex] , [latex]5[\/latex] , [latex]2[\/latex] , [latex]1[\/latex] , [latex]2[\/latex] , [latex]3[\/latex] , [latex]2[\/latex] , [latex]3[\/latex] , [latex]1[\/latex]\r\n[reveal-answer q=\"217919\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"217919\"]2[\/hidden-answer]<\/li>\r\n \t
          2. [latex]8[\/latex] , [latex]5[\/latex] , [latex]1[\/latex] , [latex]3[\/latex] , [latex]7[\/latex] , [latex]1[\/latex] , [latex]1[\/latex] , [latex]7[\/latex] , [latex]1[\/latex] , [latex]8[\/latex] , [latex]7[\/latex]<\/li>\r\n \t
          3. [latex]18[\/latex] , [latex]22[\/latex] , [latex]17[\/latex] , [latex]20[\/latex] , [latex]19[\/latex] , [latex]20[\/latex] , [latex]22[\/latex] , [latex]19[\/latex] , [latex]29[\/latex] , [latex]18[\/latex] , [latex]23[\/latex] , [latex]25[\/latex] , [latex]22[\/latex] , [latex]24[\/latex] , [latex]23[\/latex] , [latex]22[\/latex] , [latex]18[\/latex] , [latex]20[\/latex] , [latex]22[\/latex] , [latex]20[\/latex]\r\n[reveal-answer q=\"413335\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"413335\"]22[\/hidden-answer]<\/li>\r\n \t
          4. [latex]42[\/latex] , [latex]28[\/latex] , [latex]32[\/latex] , [latex]35[\/latex] , [latex]24[\/latex] , [latex]32[\/latex] , [latex]48[\/latex] , [latex]32[\/latex] , [latex]32[\/latex] , [latex]24[\/latex] , [latex]35[\/latex] , [latex]28[\/latex] , [latex]30[\/latex] , [latex]35[\/latex] , [latex]45[\/latex] , [latex]32[\/latex] , [latex]28[\/latex] , [latex]32[\/latex] , [latex]42[\/latex] , [latex]42[\/latex] , [latex]30[\/latex]<\/li>\r\n \t
          5. The number of children per house on one block: [latex]1[\/latex] , [latex]4[\/latex] , [latex]2[\/latex] , [latex]3[\/latex] , [latex]3[\/latex] , [latex]2[\/latex] , [latex]6[\/latex] , [latex]2[\/latex] , [latex]4[\/latex] , [latex]2[\/latex] , [latex]0[\/latex] , [latex]3[\/latex] , [latex]0[\/latex].\r\n[reveal-answer q=\"782520\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"782520\"]2 children[\/hidden-answer]<\/li>\r\n \t
          6. The number of movies watched each month last year: [latex]2[\/latex] , [latex]0[\/latex] , [latex]3[\/latex] , [latex]0[\/latex] , [latex]0[\/latex] , [latex]8[\/latex] , [latex]6[\/latex] , [latex]5[\/latex] , [latex]0[\/latex] , [latex]1[\/latex] , [latex]2[\/latex] , [latex]3[\/latex].<\/li>\r\n \t
          7. The number of units being taken by students in one class: [latex]12[\/latex] , [latex]5[\/latex] , [latex]11[\/latex] , [latex]10[\/latex] , [latex]10[\/latex] , [latex]11[\/latex] , [latex]5[\/latex] , [latex]11[\/latex] , [latex]11[\/latex] , [latex]11[\/latex] , [latex]10[\/latex] , [latex]12[\/latex] .\r\n[reveal-answer q=\"909589\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"909589\"]11 units[\/hidden-answer]<\/li>\r\n \t
          8. The number of hours of sleep per night for the past two weeks: [latex]8[\/latex] , [latex]5[\/latex] , [latex]7[\/latex] , [latex]8[\/latex] , [latex]8[\/latex] ,<\/li>\r\n \t
          9. [latex]6[\/latex] , [latex]6[\/latex] , [latex]6[\/latex] , [latex]6[\/latex] , [latex]9[\/latex] , [latex]7[\/latex] , [latex]8[\/latex] , [latex]8[\/latex] , [latex]8[\/latex] .<\/li>\r\n \t
          10. [latex]6[\/latex] , [latex]4[\/latex] , [latex]4,5[\/latex] , [latex]6,6[\/latex] , [latex]4[\/latex] , [latex]4[\/latex] , [latex]4[\/latex] , [latex]3[\/latex] , [latex]5[\/latex]<\/li>\r\n \t
          11. The number of siblings of a group of students: [latex]2[\/latex] , [latex]0[\/latex] , [latex]3[\/latex] , [latex]2[\/latex] , [latex]4[\/latex] , [latex]1[\/latex] , [latex]6[\/latex] , [latex]5[\/latex] , [latex]4[\/latex] , [latex]1[\/latex] , [latex]2[\/latex] , [latex]3[\/latex]\r\n[reveal-answer q=\"928081\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"928081\"]2[\/hidden-answer]<\/li>\r\n<\/ol>\r\n

            Use the Basic Definition of Probability<\/strong><\/h3>\r\nIn the following exercises, express the probability as both a fraction and a decimal. (Round to three decimal places, if necessary.)\r\n
              \r\n \t
            1. Josue is in a book club with [latex]20[\/latex] members. One member is chosen at random each month to select the next month\u2019s book. Find the probability that Josue will be chosen next month.\r\n[reveal-answer q=\"808128\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"808128\"][latex]\\Large\\frac{1}{20}\\normalsize,0.05[\/latex][\/hidden-answer]<\/li>\r\n \t
            2. Jessica is one of eight kindergarten teachers at Mandela Elementary School. One of the kindergarten teachers will be selected at random to attend a summer workshop. Find the probability that Jessica will be selected.<\/li>\r\n \t
            3. There are [latex]24[\/latex] people who work in Dane\u2019s department. Next week, one person will be selected at random to bring in doughnuts. Find the probability that Dane will be selected. Round your answer to the nearest thousandth.\r\n[reveal-answer q=\"196778\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"196778\"][latex]\\Large\\frac{1}{24}\\normalsize,0.041\\stackrel{-}{6}\\approx 0.042[\/latex][\/hidden-answer]<\/li>\r\n \t
            4. Monica has two strawberry yogurts and six banana yogurts in her refrigerator. She will choose one yogurt at random to take to work. Find the probability Monica will choose a strawberry yogurt.<\/li>\r\n \t
            5. Michel has four rock CDs and six country CDs in his car. He will pick one CD to play on his way to work. Find the probability Michel will pick a rock CD.\r\n[reveal-answer q=\"48878\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"48878\"][latex]\\Large\\frac{4}{10}\\normalsize,0.4[\/latex][\/hidden-answer]<\/li>\r\n \t
            6. Noah is planning his summer camping trip. He can\u2019t decide among six campgrounds at the beach and twelve campgrounds in the mountains, so he will choose one campground at random. Find the probability that Noah will choose a campground at the beach.<\/li>\r\n \t
            7. Donovan is considering transferring to a [latex]\\text{4-year college}[\/latex]. He is considering [latex]10[\/latex] out-of state colleges and [latex]4[\/latex] colleges in his state. He will choose one college at random to visit during spring break. Find the probability that Donovan will choose an out-of-state college.\r\n[reveal-answer q=\"883501\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"883501\"][latex]\\Large\\frac{10}{14}\\normalsize,0.\\stackrel{\\text{---}}{714285}\\approx 0.714[\/latex][\/hidden-answer]<\/li>\r\n \t
            8. There are [latex]258,890,850[\/latex] number combinations possible in the Mega Millions lottery. One winning jackpot ticket will be chosen at random. Brent chooses his favorite number combination and buys one ticket. Find the probability Brent will win the jackpot. Round the decimal to the first digit that is not zero, then write the name of the decimal.<\/li>\r\n \t
            9. The Sustainability Club sells [latex]200[\/latex] tickets to a raffle, and Albert buys one ticket. One ticket will be selected at random to win the grand prize. Find the probability Albert will win the grand prize. Express your answer as a fraction and as a decimal.<\/li>\r\n \t
            10. Luc has to read [latex]3[\/latex] novels and [latex]12[\/latex] short stories for his literature class. The professor will choose one reading at random for the final exam. Find the probability that the professor will choose a novel for the final exam. Express your answer as a fraction and as a decimal.<\/li>\r\n<\/ol>\r\n
              \r\n

              Everyday Math<\/h3>\r\n
                \r\n \t
              1. Joaquin gets paid every Friday. His paychecks for the past [latex]8[\/latex] Fridays were [latex]{$315}[\/latex], [latex]{$236.25}[\/latex], [latex]{$236.25}[\/latex], [latex]{$236.25}[\/latex], [latex]{$315}[\/latex], [latex]{$315}[\/latex], [latex]{$236.25}[\/latex], [latex]{$393.75}[\/latex]. Find the \u24d0 mean, \u24d1 median, and \u24d2 mode.\r\n[reveal-answer q=\"655282\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"655282\"]\u24d0 $285.47 \u24d1 $275.63 \u24d2 $236.25[\/hidden-answer]<\/li>\r\n \t
              2. The cash register receipts each day last week at a coffee shop were [latex]{$1,845}[\/latex], [latex]{$1,520}[\/latex], [latex]{$1,438}[\/latex], [latex]{$1,682}[\/latex], [latex]{$1,850}[\/latex], [latex]{$2,721}[\/latex], [latex]{$2,539}[\/latex]. Find the \u24d0 mean, \u24d1 median, and \u24d2 mode.<\/li>\r\n<\/ol>\r\n<\/div>\r\n
                \r\n

                Writing Exercises<\/h3>\r\nExplain in your own words the difference between the mean, median, and mode of a set of numbers.\r\n\r\n[practice-area rows=\"4\"][\/practice-area]\r\n\r\nMake an example of probability that relates to your life. Write your answer as a fraction and explain what the numerator and denominator represent.\r\n\r\n[practice-area rows=\"4\"][\/practice-area]\r\n\r\n<\/div>\r\n \r\n

                Write a Ratio as a Fraction<\/strong><\/h3>\r\nIn the following exercises, write each ratio as a fraction.\r\n
                  \r\n \t
                1. [latex]20[\/latex] to [latex]36[\/latex]\r\n[reveal-answer q=\"677177\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"677177\"][latex]\\Large\\frac{5}{9}[\/latex][\/hidden-answer]<\/li>\r\n \t
                2. [latex]20[\/latex] to [latex]32[\/latex]<\/li>\r\n \t
                3. [latex]42[\/latex] to [latex]48[\/latex]\r\n[reveal-answer q=\"754963\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"754963\"][latex]\\Large\\frac{7}{8}[\/latex][\/hidden-answer]<\/li>\r\n \t
                4. [latex]45[\/latex] to [latex]54[\/latex]<\/li>\r\n \t
                5. [latex]49[\/latex] to [latex]21[\/latex]\r\n[reveal-answer q=\"964831\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"964831\"][latex]\\Large\\frac{7}{3}[\/latex][\/hidden-answer]<\/li>\r\n \t
                6. [latex]56[\/latex] to [latex]16[\/latex]<\/li>\r\n \t
                7. [latex]84[\/latex] to [latex]36[\/latex]\r\n[reveal-answer q=\"187541\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"187541\"][latex]\\Large\\frac{7}{3}[\/latex][\/hidden-answer]<\/li>\r\n \t
                8. [latex]6.4[\/latex] to [latex]0.8[\/latex]<\/li>\r\n \t
                9. [latex]0.56[\/latex] to [latex]2.8[\/latex]\r\n[reveal-answer q=\"89825\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"89825\"][latex]\\Large\\frac{1}{5}[\/latex][\/hidden-answer]<\/li>\r\n \t
                10. [latex]1.26[\/latex] to [latex]4.2[\/latex]<\/li>\r\n \t
                11. [latex]1\\Large\\frac{2}{3}[\/latex] to [latex]2\\Large\\frac{5}{6}[\/latex]\r\n[reveal-answer q=\"962624\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"962624\"][latex]\\Large\\frac{10}{17}[\/latex][\/hidden-answer]<\/li>\r\n \t
                12. [latex]1\\Large\\frac{3}{4}[\/latex] to [latex]2\\Large\\frac{5}{8}[\/latex]<\/li>\r\n \t
                13. [latex]4\\Large\\frac{1}{6}[\/latex] to [latex]3\\Large\\frac{1}{3}[\/latex]\r\n[reveal-answer q=\"14923\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"14923\"][latex]\\Large\\frac{5}{4}[\/latex][\/hidden-answer]<\/li>\r\n \t
                14. [latex]5\\Large\\frac{3}{5}[\/latex] to [latex]3\\Large\\frac{3}{5}[\/latex]<\/li>\r\n \t
                15. [latex]{$18}[\/latex] to [latex]{$63}[\/latex]\r\n[reveal-answer q=\"645995\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"645995\"][latex]\\Large\\frac{2}{7}[\/latex][\/hidden-answer]<\/li>\r\n \t
                16. [latex]{$16}[\/latex] to [latex]{$72}[\/latex]<\/li>\r\n \t
                17. [latex]{$1.21}[\/latex] to [latex]{$0.44}[\/latex]\r\n[reveal-answer q=\"569889\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"569889\"][latex]\\Large\\frac{11}{4}[\/latex][\/hidden-answer]<\/li>\r\n \t
                18. [latex]{$1.38}[\/latex] to [latex]{$0.69}[\/latex]<\/li>\r\n \t
                19. [latex]28[\/latex] ounces to [latex]84[\/latex] ounces\r\n[reveal-answer q=\"248309\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"248309\"][latex]\\Large\\frac{1}{3}[\/latex][\/hidden-answer]<\/li>\r\n \t
                20. [latex]32[\/latex] ounces to [latex]128[\/latex] ounces<\/li>\r\n \t
                21. [latex]12[\/latex] feet to [latex]46[\/latex] feet\r\n[reveal-answer q=\"822292\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"822292\"][latex]\\Large\\frac{6}{23}[\/latex][\/hidden-answer]<\/li>\r\n \t
                22. [latex]15[\/latex] feet to [latex]57[\/latex] feet<\/li>\r\n \t
                23. [latex]246[\/latex] milligrams to [latex]45[\/latex] milligrams\r\n[reveal-answer q=\"111167\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"111167\"][latex]\\Large\\frac{82}{15}[\/latex][\/hidden-answer]<\/li>\r\n \t
                24. [latex]304[\/latex] milligrams to [latex]48[\/latex] milligrams<\/li>\r\n \t
                25. total cholesterol of [latex]175[\/latex] to HDL cholesterol of [latex]45[\/latex]\r\n[reveal-answer q=\"604564\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"604564\"][latex]\\Large\\frac{35}{9}[\/latex][\/hidden-answer]<\/li>\r\n \t
                26. total cholesterol of [latex]215[\/latex] to HDL cholesterol of [latex]55[\/latex]<\/li>\r\n \t
                27. [latex]27[\/latex] inches to [latex]1[\/latex] foot\r\n[reveal-answer q=\"628342\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"628342\"][latex]\\Large\\frac{9}{4}[\/latex][\/hidden-answer]<\/li>\r\n \t
                28. [latex]28[\/latex] inches to [latex]1[\/latex] foot<\/li>\r\n \t
                29. [latex]28[\/latex] to [latex]40[\/latex][latex]56[\/latex] to [latex]32[\/latex]\r\n[reveal-answer q=\"564542\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"564542\"][latex]\\Large\\frac{7}{4}[\/latex][\/hidden-answer]<\/li>\r\n \t
                30. [latex]3.5[\/latex] to [latex]0.5[\/latex]<\/li>\r\n \t
                31. [latex]1.2[\/latex] to [latex]1.8[\/latex]\r\n[reveal-answer q=\"207841\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"207841\"][latex]\\Large\\frac{2}{3}[\/latex][\/hidden-answer]<\/li>\r\n \t
                32. [latex]1\\Large\\frac{3}{4}\\normalsize\\text{to}1\\Large\\frac{5}{8}[\/latex]<\/li>\r\n \t
                33. [latex]2\\Large\\frac{1}{3}\\normalsize\\text{to}5\\Large\\frac{1}{4}[\/latex]\r\n[reveal-answer q=\"124400\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"124400\"][latex]\\Large\\frac{4}{9}[\/latex][\/hidden-answer]<\/li>\r\n \t
                34. [latex]64[\/latex] ounces to [latex]30[\/latex] ounces<\/li>\r\n \t
                35. [latex]28[\/latex] inches to [latex]3[\/latex] feet\r\n[reveal-answer q=\"427555\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"427555\"][latex]\\Large\\frac{7}{9}[\/latex][\/hidden-answer]<\/li>\r\n<\/ol>\r\n

                  Write a Rate as a Fraction<\/strong><\/h3>\r\nIn the following exercises, write each rate as a fraction.\r\n
                    \r\n \t
                  1. [latex]140[\/latex] calories per [latex]12[\/latex] ounces\r\n[reveal-answer q=\"639713\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"639713\"][latex]\\Large\\frac{\\text{35 calories}}{\\text{3 ounces}}[\/latex][\/hidden-answer]<\/li>\r\n \t
                  2. [latex]180[\/latex] calories per [latex]16[\/latex] ounces<\/li>\r\n \t
                  3. [latex]8.2[\/latex] pounds per [latex]3[\/latex] square inches\r\n[reveal-answer q=\"980124\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"980124\"][latex]\\Large\\frac{\\text{41 lbs}}{\\text{15 sq. in}.}[\/latex][\/hidden-answer]<\/li>\r\n \t
                  4. [latex]9.5[\/latex] pounds per [latex]4[\/latex] square inches<\/li>\r\n \t
                  5. [latex]488[\/latex] miles in [latex]7[\/latex] hours\r\n[reveal-answer q=\"556923\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"556923\"][latex]\\Large\\frac{\\text{488 miles}}{\\text{7 hours}}[\/latex][\/hidden-answer]<\/li>\r\n \t
                  6. [latex]527[\/latex] miles in [latex]9[\/latex] hours<\/li>\r\n \t
                  7. [latex]{$595}[\/latex] for [latex]40[\/latex] hours\r\n[reveal-answer q=\"668188\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"668188\"][latex]\\Large\\frac{{$119}}{{8 hours}}[\/latex][\/hidden-answer]<\/li>\r\n \t
                  8. [latex]{$798}[\/latex] for [latex]40[\/latex] hours<\/li>\r\n \t
                  9. [latex]180[\/latex] calories per [latex]8[\/latex] ounces<\/li>\r\n \t
                  10. [latex]90[\/latex] pounds per [latex]7.5[\/latex] square inches\r\n[reveal-answer q=\"510233\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"510233\"][latex]\\Large\\frac{90\\text{pounds}}{7.5\\text{square inches}}[\/latex][\/hidden-answer]<\/li>\r\n \t
                  11. [latex]126[\/latex] miles in [latex]4[\/latex] hours<\/li>\r\n \t
                  12. [latex]{$612.50}[\/latex] for [latex]35[\/latex] hours\r\n[reveal-answer q=\"446282\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"446282\"][latex]\\Large\\frac{$612.50}{35\\text{hours}}[\/latex][\/hidden-answer]<\/li>\r\n<\/ol>\r\n

                    Find Unit Rates<\/strong><\/h3>\r\n

                    Exercise 1<\/h4>\r\nIn the following exercises, find the unit rate. Round to two decimal places, if necessary.\r\n
                      \r\n \t
                    1. \r\n
                        \r\n \t
                      1. [latex]140[\/latex] calories per [latex]12[\/latex] ounces\r\n[reveal-answer q=\"730040\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"730040\"]11.67 calories\/ounce[\/hidden-answer]<\/li>\r\n \t
                      2. [latex]180[\/latex] calories per [latex]16[\/latex] ounces<\/li>\r\n \t
                      3. [latex]8.2[\/latex] pounds per [latex]3[\/latex] square inches\r\n[reveal-answer q=\"512121\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"512121\"]2.73 lbs.\/sq. in.[\/hidden-answer]<\/li>\r\n \t
                      4. [latex]9.5[\/latex] pounds per [latex]4[\/latex] square inches<\/li>\r\n \t
                      5. [latex]488[\/latex] miles in [latex]7[\/latex] hours\r\n[reveal-answer q=\"603567\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"603567\"]69.71 mph[\/hidden-answer]<\/li>\r\n \t
                      6. [latex]527[\/latex] miles in [latex]9[\/latex] hours<\/li>\r\n \t
                      7. [latex]{$595}[\/latex] for [latex]40[\/latex] hours\r\n[reveal-answer q=\"971548\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"971548\"]$14.88\/hour[\/hidden-answer]<\/li>\r\n \t
                      8. [latex]{$798}[\/latex] for [latex]40[\/latex] hours<\/li>\r\n \t
                      9. [latex]576[\/latex] miles on [latex]18[\/latex] gallons of gas\r\n[reveal-answer q=\"54375\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"54375\"]32 mpg[\/hidden-answer]<\/li>\r\n \t
                      10. [latex]435[\/latex] miles on [latex]15[\/latex] gallons of gas<\/li>\r\n \t
                      11. [latex]43[\/latex] pounds in [latex]16[\/latex] weeks\r\n[reveal-answer q=\"924645\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"924645\"]2.69 lbs.\/week[\/hidden-answer]<\/li>\r\n \t
                      12. [latex]57[\/latex] pounds in [latex]24[\/latex] weeks<\/li>\r\n \t
                      13. [latex]46[\/latex] beats in [latex]0.5[\/latex] minute\r\n[reveal-answer q=\"57459\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"57459\"]92 beats\/minute[\/hidden-answer]<\/li>\r\n \t
                      14. [latex]54[\/latex] beats in [latex]0.5[\/latex] minute<\/li>\r\n \t
                      15. [latex]180[\/latex] calories per [latex]8[\/latex] ounces<\/li>\r\n \t
                      16. [latex]90[\/latex] pounds per [latex]7.5[\/latex] square inches\r\n[reveal-answer q=\"563366\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"563366\"]12 pounds\/sq.in.[\/hidden-answer]<\/li>\r\n \t
                      17. [latex]126[\/latex] miles in [latex]4[\/latex] hours<\/li>\r\n \t
                      18. [latex]{$612.50}[\/latex] for [latex]35[\/latex] hours\r\n[reveal-answer q=\"577961\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"577961\"]$17.50\/hour[\/hidden-answer]<\/li>\r\n<\/ol>\r\n<\/li>\r\n<\/ol>\r\n

                        Exercise 2<\/h4>\r\n
                          \r\n \t
                        1. \r\n
                            \r\n \t
                          1. The bindery at a printing plant assembles [latex]96,000[\/latex] magazines in [latex]12[\/latex] hours. How many magazines are assembled in one hour?\r\n[reveal-answer q=\"375210\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"375210\"]8,000[\/hidden-answer]<\/li>\r\n \t
                          2. The pressroom at a printing plant prints [latex]540,000[\/latex] sections in [latex]12[\/latex] hours. How many sections are printed per hour?<\/li>\r\n<\/ol>\r\n<\/li>\r\n<\/ol>\r\n

                            Find Unit Price<\/strong><\/h3>\r\n

                            Exercise 1<\/h4>\r\nIn the following exercises, find the unit price. Round to the nearest cent.\r\n
                              \r\n \t
                            1. \r\n
                                \r\n \t
                              1. Soap bars at [latex]8[\/latex] for [latex]{$8.69}[\/latex]\r\n[reveal-answer q=\"718030\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"718030\"]$1.09\/bar[\/hidden-answer]<\/li>\r\n \t
                              2. Soap bars at [latex]4[\/latex] for [latex]{$3.39}[\/latex]<\/li>\r\n \t
                              3. Women\u2019s sports socks at [latex]6[\/latex] pairs for [latex]{$7.99}[\/latex]\r\n[reveal-answer q=\"50531\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"50531\"]$1.33\/pair[\/hidden-answer]<\/li>\r\n \t
                              4. Men\u2019s dress socks at [latex]3[\/latex] pairs for [latex]{$8.49}[\/latex]<\/li>\r\n \t
                              5. Snack packs of cookies at [latex]12[\/latex] for [latex]{$5.79}[\/latex]\r\n[reveal-answer q=\"161550\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"161550\"]$0.48\/pack[\/hidden-answer]<\/li>\r\n \t
                              6. Granola bars at [latex]5[\/latex] for [latex]{$3.69}[\/latex]<\/li>\r\n \t
                              7. CD-RW discs at [latex]25[\/latex] for [latex]{$14.99}[\/latex]\r\n[reveal-answer q=\"273025\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"273025\"]$0.60\/disc[\/hidden-answer]<\/li>\r\n \t
                              8. CDs at [latex]50[\/latex] for [latex]{$4.49}[\/latex]<\/li>\r\n \t
                              9. t-shirts: [latex]3[\/latex] for [latex]{$8.97}[\/latex]<\/li>\r\n \t
                              10. Highlighters: [latex]6[\/latex] for [latex]{$2.52}[\/latex]\r\n[reveal-answer q=\"971855\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"971855\"]$0.42[\/hidden-answer]<\/li>\r\n \t
                              11. An office supply store sells a box of pens for [latex]{$11}[\/latex]. The box contains [latex]12[\/latex] pens. How much does each pen cost?<\/li>\r\n \t
                              12. Anna bought a pack of [latex]8[\/latex] kitchen towels for [latex]{$13.20}[\/latex]. How much did each towel cost? Round to the nearest cent if necessary.\r\n[reveal-answer q=\"477967\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"477967\"]$1.65[\/hidden-answer]<\/li>\r\n<\/ol>\r\n<\/li>\r\n<\/ol>\r\n

                                Exercise 2<\/h4>\r\n
                                  \r\n \t
                                1. \r\n
                                    \r\n \t
                                  1. The grocery store has a special on macaroni and cheese. The price is [latex]{$3.87}[\/latex] for [latex]3[\/latex] boxes. How much does each box cost?\r\n[reveal-answer q=\"958291\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"958291\"]$1.29\/box[\/hidden-answer]<\/li>\r\n \t
                                  2. The pet store has a special on cat food. The price is [latex]{$4.32}[\/latex] for [latex]12[\/latex] cans. How much does each can cost?<\/li>\r\n<\/ol>\r\n<\/li>\r\n<\/ol>\r\n

                                    Exercise 3<\/h4>\r\nIn the following exercises, find each unit price and then identify the better buy. Round to three decimal places.\r\n
                                      \r\n \t
                                    1. \r\n
                                        \r\n \t
                                      1. Mouthwash, [latex]{50.7-ounce}[\/latex] size for [latex]{$6.99}[\/latex] or [latex]{33.8-ounce}[\/latex] size for [latex]{$4.79}[\/latex]\r\n[reveal-answer q=\"7732\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"7732\"]The 50.7-ounce size costs $0.138 per ounce. The 33.8-ounce size costs $0.142 per ounce. The 50.7-ounce size is the better buy.[\/hidden-answer]<\/li>\r\n \t
                                      2. Toothpaste, [latex]6[\/latex] ounce size for [latex]{$3.19}[\/latex] or [latex]7.8-ounce[\/latex] size for [latex]{$5.19}[\/latex]<\/li>\r\n \t
                                      3. Breakfast cereal, [latex]18[\/latex] ounces for [latex]{$3.99}[\/latex] or [latex]14[\/latex] ounces for [latex]{$3.29}[\/latex]\r\n[reveal-answer q=\"75328\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"75328\"]The 18-ounce size costs $0.222 per ounce. The 14-ounce size costs $0.235 per ounce. The 18-ounce size is a better buy.[\/hidden-answer]<\/li>\r\n \t
                                      4. Breakfast Cereal, [latex]10.7[\/latex] ounces for [latex]{$2.69}[\/latex] or [latex]14.8[\/latex] ounces for [latex]{$3.69}[\/latex]<\/li>\r\n \t
                                      5. Ketchup, [latex]{40-ounce}[\/latex] regular bottle for [latex]{$2.99}[\/latex] or [latex]{64-ounce}[\/latex] squeeze bottle for [latex]{$4.39}[\/latex]\r\n[reveal-answer q=\"229860\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"229860\"]The regular bottle costs $0.075 per ounce. The squeeze bottle costs $0.069 per ounce. The squeeze bottle is a better buy.[\/hidden-answer]<\/li>\r\n \t
                                      6. Mayonnaise [latex]{15-ounce}[\/latex] regular bottle for [latex]{$3.49}[\/latex] or [latex]{22-ounce}[\/latex] squeeze bottle for [latex]{$4.99}[\/latex]<\/li>\r\n \t
                                      7. Cheese [latex]{$6.49}[\/latex] for [latex]1[\/latex] lb. block or [latex]{$3.39}[\/latex] for [latex]\\Large\\frac{1}{2}[\/latex] lb. block\r\n[reveal-answer q=\"135232\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"135232\"]The half-pound block costs $6.78\/lb, so the 1-lb. block is a better buy.[\/hidden-answer]<\/li>\r\n \t
                                      8. Candy [latex]{$10.99}[\/latex] for a [latex]1[\/latex] lb. bag or [latex]{$2.89}[\/latex] for [latex]\\Large\\frac{1}{4}[\/latex] lb. of loose candy<\/li>\r\n \t
                                      9. Shampoo: [latex]12[\/latex] ounces for [latex]{$4.29}[\/latex] or [latex]22[\/latex] ounces for [latex]{$7.29}?[\/latex]<\/li>\r\n \t
                                      10. Vitamins: [latex]60[\/latex] tablets for [latex]{$6.49}[\/latex] or [latex]100[\/latex] for [latex]{$11.99}?[\/latex]\r\n[reveal-answer q=\"76858\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"76858\"]$0.11, $0.12; 60 tablets for $6.49[\/hidden-answer]<\/li>\r\n<\/ol>\r\n<\/li>\r\n<\/ol>\r\n

                                        Translate Phrases to Expressions with Fractions<\/strong><\/h3>\r\nIn the following exercises, translate the English phrase into an algebraic expression.\r\n
                                          \r\n \t
                                        1. \r\n
                                            \r\n \t
                                          1. [latex]793[\/latex] miles per [latex]p[\/latex] hours\r\n[reveal-answer q=\"873166\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"873166\"][latex]\\Large\\frac{\\text{793 miles}}{p \\text{hours}}[\/latex][\/hidden-answer]<\/li>\r\n \t
                                          2. [latex]78[\/latex] feet per [latex]r[\/latex] seconds<\/li>\r\n \t
                                          3. [latex]{$3}[\/latex] for [latex]0.5[\/latex] lbs.\r\n[reveal-answer q=\"978449\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"978449\"][latex]\\Large\\frac{{$3}}{{0.5 lbs}.}[\/latex][\/hidden-answer]<\/li>\r\n \t
                                          4. [latex]j[\/latex] beats in [latex]0.5[\/latex] minutes<\/li>\r\n \t
                                          5. [latex]105[\/latex] calories in [latex]x[\/latex] ounces\r\n[reveal-answer q=\"891872\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"891872\"][latex]\\Large\\frac{\\text{105 calories}} {x \\text {ounces}}[\/latex][\/hidden-answer]<\/li>\r\n \t
                                          6. [latex]400[\/latex] minutes for [latex]m[\/latex] dollars<\/li>\r\n \t
                                          7. the ratio of [latex]y[\/latex] and [latex]5x[\/latex]\r\n[reveal-answer q=\"860976\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"860976\"][latex]\\Large\\frac{y}{5x}[\/latex][\/hidden-answer]<\/li>\r\n \t
                                          8. the ratio of [latex]12x[\/latex] and [latex]y[\/latex]<\/li>\r\n \t
                                          9. [latex]535[\/latex] miles per [latex]h\\text{hours}[\/latex]<\/li>\r\n \t
                                          10. [latex]a[\/latex] adults to [latex]45[\/latex] children\r\n[reveal-answer q=\"350543\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"350543\"][latex]\\Large\\frac{a\\text{adults}}{45\\text{children}}[\/latex][\/hidden-answer]<\/li>\r\n \t
                                          11. the ratio of [latex]4y[\/latex] and the difference of [latex]x[\/latex] and [latex]10[\/latex]<\/li>\r\n \t
                                          12. the ratio of [latex]19[\/latex] and the sum of [latex]3[\/latex] and [latex]n[\/latex]\r\n[reveal-answer q=\"339287\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"339287\"][latex]\\Large\\frac{19}{3+n}[\/latex][\/hidden-answer]<\/li>\r\n<\/ol>\r\n<\/li>\r\n<\/ol>\r\n

                                            Everyday Math<\/h3>\r\n
                                            \r\n

                                            Everyday math<\/h3>\r\n
                                              \r\n \t
                                            1. One elementary school in Ohio has [latex]684[\/latex] students and [latex]45[\/latex] teachers. Write the student-to-teacher ratio as a unit rate.\r\n[reveal-answer q=\"286092\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"286092\"]15.2 students per teacher[\/hidden-answer]<\/li>\r\n \t
                                            2. The average American produces about [latex]1,600[\/latex] pounds of paper trash per year (365 days). How many pounds of paper trash does the average American produce each day? (Round to the nearest tenth of a pound.)<\/li>\r\n \t
                                            3. A popular fast food burger weighs [latex]7.5[\/latex] ounces and contains [latex]540[\/latex] calories, [latex]29[\/latex] grams of fat, [latex]43[\/latex] grams of carbohydrates, and [latex]25[\/latex] grams of protein. Find the unit rate of \u24d0 calories per ounce \u24d1 grams of fat per ounce \u24d2 grams of carbohydrates per ounce \u24d3 grams of protein per ounce. Round to two decimal places.\r\n[reveal-answer q=\"342782\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"342782\"]\u24d0 72 calories\/ounce \u24d1 3.87 grams of fat\/ounce \u24d2 5.73 grams carbs\/once \u24d3 3.33 grams protein\/ounce[\/hidden-answer]<\/li>\r\n \t
                                            4. A [latex]16-ounce[\/latex] chocolate mocha coffee with whipped cream contains [latex]470[\/latex] calories, [latex]18[\/latex] grams of fat, [latex]63[\/latex] grams of carbohydrates, and [latex]15[\/latex] grams of protein. Find the unit rate of \u24d0 calories per ounce \u24d1 grams of fat per ounce \u24d2 grams of carbohydrates per ounce \u24d3 grams of protein per ounce.<\/li>\r\n<\/ol>\r\n<\/div>\r\n \r\n
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                                              Writing Exercises<\/h3>\r\n
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                                              1. Would you prefer the ratio of your income to your friend\u2019s income to be [latex]\\text{3\/1}[\/latex] or [latex]1\/3?[\/latex] Explain your reasoning.\r\nAnswers will vary.<\/li>\r\n \t
                                              2. The parking lot at the airport charges [latex]{$0.75}[\/latex] for every [latex]15[\/latex] minutes. \u24d0 How much does it cost to park for [latex]1[\/latex] hour? \u24d1 Explain how you got your answer to part \u24d0. Was your reasoning based on the unit cost or did you use another method?<\/li>\r\n \t
                                              3. Kathryn ate a [latex]4-ounce[\/latex] cup of frozen yogurt and then went for a swim. The frozen yogurt had [latex]115[\/latex] calories. Swimming burns [latex]422[\/latex] calories per hour. For how many minutes should Kathryn swim to burn off the calories in the frozen yogurt? Explain your reasoning.\r\nAnswers will vary.<\/li>\r\n \t
                                              4. Mollie had a [latex]16-ounce[\/latex] cappuccino at her neighborhood coffee shop. The cappuccino had [latex]110[\/latex] calories. If Mollie walks for one hour, she burns [latex]246[\/latex] calories. For how many minutes must Mollie walk to burn off the calories in the cappuccino? Explain your reasoning.<\/li>\r\n<\/ol>\r\n<\/div>\r\n \r\n\r\nSimplify Expressions with Square Roots<\/strong>\r\n\r\nIn the following exercises, simplify.\r\n
                                                  \r\n \t
                                                1. \r\n
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                                                  1. [latex]\\sqrt{36}[\/latex]\r\n[reveal-answer q=\"401551\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"401551\"]6[\/hidden-answer]<\/li>\r\n \t
                                                  2. [latex]\\sqrt{4}[\/latex]<\/li>\r\n \t
                                                  3. [latex]\\sqrt{64}[\/latex]\r\n[reveal-answer q=\"157868\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"157868\"]8[\/hidden-answer]<\/li>\r\n \t
                                                  4. [latex]\\sqrt{144}[\/latex]<\/li>\r\n \t
                                                  5. [latex]-\\sqrt{4}[\/latex]\r\n[reveal-answer q=\"607127\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"607127\"]\u22122[\/hidden-answer]<\/li>\r\n \t
                                                  6. [latex]-\\sqrt{100}[\/latex]<\/li>\r\n \t
                                                  7. [latex]-\\sqrt{1}[\/latex]\r\n[reveal-answer q=\"273460\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"273460\"]\u22121[\/hidden-answer]<\/li>\r\n \t
                                                  8. [latex]-\\sqrt{121}[\/latex]<\/li>\r\n \t
                                                  9. [latex]\\sqrt{-121}[\/latex]\r\n[reveal-answer q=\"141775\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"141775\"]not a real number[\/hidden-answer]<\/li>\r\n \t
                                                  10. [latex]\\sqrt{-36}[\/latex]<\/li>\r\n \t
                                                  11. [latex]\\sqrt{-9}[\/latex]\r\n[reveal-answer q=\"227141\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"227141\"]not a real number[\/hidden-answer]<\/li>\r\n \t
                                                  12. [latex]\\sqrt{-49}[\/latex]<\/li>\r\n \t
                                                  13. [latex]\\sqrt{9+16}[\/latex]\r\n[reveal-answer q=\"177779\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"177779\"]5[\/hidden-answer]<\/li>\r\n \t
                                                  14. [latex]\\sqrt{25+144}[\/latex]<\/li>\r\n \t
                                                  15. [latex]\\sqrt{9}+\\sqrt{16}[\/latex]\r\n[reveal-answer q=\"652944\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"652944\"]7[\/hidden-answer]<\/li>\r\n \t
                                                  16. [latex]\\sqrt{25}+\\sqrt{144}[\/latex]<\/li>\r\n \t
                                                  17. [latex]\\sqrt{64}[\/latex]<\/li>\r\n \t
                                                  18. [latex]\\sqrt{144}[\/latex]\r\n[reveal-answer q=\"963585\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"963585\"]12[\/hidden-answer]<\/li>\r\n \t
                                                  19. [latex]-\\sqrt{25}[\/latex]<\/li>\r\n \t
                                                  20. [latex]-\\sqrt{81}[\/latex]\r\n[reveal-answer q=\"189244\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"189244\"]\u22129[\/hidden-answer]<\/li>\r\n \t
                                                  21. [latex]\\sqrt{-9}[\/latex]<\/li>\r\n \t
                                                  22. [latex]\\sqrt{-36}[\/latex]\r\n[reveal-answer q=\"234775\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"234775\"]not a real number[\/hidden-answer]<\/li>\r\n \t
                                                  23. [latex]\\sqrt{64}+\\sqrt{225}[\/latex]<\/li>\r\n \t
                                                  24. [latex]\\sqrt{64+225}[\/latex]\r\n[reveal-answer q=\"766462\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"766462\"]17[\/hidden-answer]<\/li>\r\n<\/ol>\r\n<\/li>\r\n<\/ol>\r\n

                                                    Estimate Square Roots<\/strong><\/h3>\r\nIn the following exercises, estimate each square root between two consecutive whole numbers.\r\n
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                                                    1. \r\n
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                                                      1. [latex]\\sqrt{70}[\/latex]\r\n[reveal-answer q=\"294230\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"294230\"][latex]8<\\sqrt{70}<9[\/latex][\/hidden-answer]<\/li>\r\n \t
                                                      2. [latex]\\sqrt{55}[\/latex]<\/li>\r\n \t
                                                      3. [latex]\\sqrt{200}[\/latex]\r\n[reveal-answer q=\"159114\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"159114\"][latex]14<\\sqrt{200}<15[\/latex][\/hidden-answer]<\/li>\r\n \t
                                                      4. [latex]\\sqrt{172}[\/latex]<\/li>\r\n \t
                                                      5. [latex]\\sqrt{28}[\/latex]<\/li>\r\n \t
                                                      6. [latex]\\sqrt{155}[\/latex]\r\n[reveal-answer q=\"454994\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"454994\"][latex]12<\\sqrt{155}<13[\/latex][\/hidden-answer]<\/li>\r\n<\/ol>\r\n<\/li>\r\n<\/ol>\r\n

                                                        Approximate Square Roots with a Calculator<\/strong><\/h3>\r\nIn the following exercises, use a calculator to approximate each square root and round to two decimal places.\r\n
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                                                        1. \r\n
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                                                          1. [latex]\\sqrt{19}[\/latex]\r\n[reveal-answer q=\"35646\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"35646\"]4.36[\/hidden-answer]<\/li>\r\n \t
                                                          2. [latex]\\sqrt{21}[\/latex]<\/li>\r\n \t
                                                          3. [latex]\\sqrt{53}[\/latex]\r\n[reveal-answer q=\"758190\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"758190\"]7.28[\/hidden-answer]<\/li>\r\n \t
                                                          4. [latex]\\sqrt{47}[\/latex]<\/li>\r\n \t
                                                          5. [latex]\\sqrt{15}[\/latex]<\/li>\r\n \t
                                                          6. [latex]\\sqrt{57}[\/latex]\r\n[reveal-answer q=\"266393\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"266393\"]7.55[\/hidden-answer]<\/li>\r\n<\/ol>\r\n<\/li>\r\n<\/ol>\r\n

                                                            Simplify Variable Expressions with Square Roots<\/strong><\/h3>\r\nIn the following exercises, simplify. (Assume all variables are greater than or equal to zero.)\r\n
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                                                            1. \r\n
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                                                              1. [latex]\\sqrt{{y}^{2}}[\/latex]\r\n[reveal-answer q=\"695747\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"695747\"]y[\/hidden-answer]<\/li>\r\n \t
                                                              2. [latex]\\sqrt{{b}^{2}}[\/latex]<\/li>\r\n \t
                                                              3. [latex]\\sqrt{49{x}^{2}}[\/latex]\r\n[reveal-answer q=\"958230\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"958230\"]7x[\/hidden-answer]<\/li>\r\n \t
                                                              4. [latex]\\sqrt{100{y}^{2}}[\/latex]<\/li>\r\n \t
                                                              5. [latex]-\\sqrt{64{a}^{2}}[\/latex]\r\n[reveal-answer q=\"91775\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"91775\"]\u22128a[\/hidden-answer]<\/li>\r\n \t
                                                              6. [latex]-\\sqrt{25{x}^{2}}[\/latex]<\/li>\r\n \t
                                                              7. [latex]\\sqrt{144{x}^{2}{y}^{2}}[\/latex]\r\n[reveal-answer q=\"299115\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"299115\"]12xy[\/hidden-answer]<\/li>\r\n \t
                                                              8. [latex]\\sqrt{196{a}^{2}{b}^{2}}[\/latex]<\/li>\r\n \t
                                                              9. [latex]\\sqrt{{q}^{2}}[\/latex]<\/li>\r\n \t
                                                              10. [latex]\\sqrt{64{b}^{2}}[\/latex]\r\n[reveal-answer q=\"503702\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"503702\"]8b[\/hidden-answer]<\/li>\r\n \t
                                                              11. [latex]-\\sqrt{121{a}^{2}}[\/latex]<\/li>\r\n \t
                                                              12. [latex]\\sqrt{225{m}^{2}{n}^{2}}[\/latex]\r\n[reveal-answer q=\"646234\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"646234\"]15mn[\/hidden-answer]<\/li>\r\n \t
                                                              13. [latex]-\\sqrt{100{q}^{2}}[\/latex]<\/li>\r\n \t
                                                              14. [latex]\\sqrt{49{y}^{2}}[\/latex]\r\n[reveal-answer q=\"419424\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"419424\"]7y[\/hidden-answer]<\/li>\r\n \t
                                                              15. [latex]\\sqrt{4{a}^{2}{b}^{2}}[\/latex]<\/li>\r\n \t
                                                              16. [latex]\\sqrt{121{c}^{2}{d}^{2}}[\/latex]\r\n[reveal-answer q=\"929578\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"929578\"]11cd[\/hidden-answer]<\/li>\r\n<\/ol>\r\n<\/li>\r\n<\/ol>\r\n

                                                                Use Square Roots in Applications<\/strong><\/h3>\r\nIn the following exercises, solve. Round to one decimal place.\r\n\r\nLandscaping<\/strong> Reed wants to have a square garden plot in his backyard. He has enough compost to cover an area of [latex]75[\/latex] square feet. How long can a side of his garden be?\r\n
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                                                                1. \r\n
                                                                    [reveal-answer q=\"677415\"]Show Solution[\/reveal-answer]<\/ol>\r\n<\/li>\r\n<\/ol>\r\n
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                                                                    1. \r\n
                                                                        [hidden-answer a=\"677415\"]8.7 feet[\/hidden-answer]<\/ol>\r\n<\/li>\r\n<\/ol>\r\nLandscaping<\/strong> Vince wants to make a square patio in his yard. He has enough concrete to pave an area of [latex]130[\/latex] square feet. How long can a side of his patio be?\r\n\r\nGravity<\/strong> An airplane dropped a flare from a height of [latex]1,024[\/latex] feet above a lake. How many seconds did it take for the flare to reach the water?\r\n
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                                                                        1. \r\n
                                                                            [reveal-answer q=\"585839\"]Show Solution[\/reveal-answer]<\/ol>\r\n<\/li>\r\n<\/ol>\r\n
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                                                                            1. \r\n
                                                                                [hidden-answer a=\"585839\"]8 seconds[\/hidden-answer]<\/ol>\r\n<\/li>\r\n<\/ol>\r\nGravity <\/strong>A hiker dropped a granola bar from a lookout spot [latex]576[\/latex] feet above a valley. How long did it take the granola bar to reach the valley floor?\r\n\r\nGravity<\/strong> A hang glider dropped his cell phone from a height of [latex]350[\/latex] feet. How many seconds did it take for the cell phone to reach the ground?\r\n\r\nGravity<\/strong> A construction worker dropped a hammer while building the Grand Canyon skywalk, [latex]4,000[\/latex] feet above the Colorado River. How many seconds did it take for the hammer to reach the river?\r\n
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                                                                                1. \r\n
                                                                                    [reveal-answer q=\"550466\"]Show Solution[\/reveal-answer]<\/ol>\r\n<\/li>\r\n<\/ol>\r\n
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                                                                                    1. \r\n
                                                                                        [hidden-answer a=\"550466\"]15.8 seconds[\/hidden-answer]<\/ol>\r\n<\/li>\r\n<\/ol>\r\nAccident investigation<\/strong> The skid marks from a car involved in an accident measured [latex]54[\/latex] feet. What was the speed of the car before the brakes were applied?\r\n\r\nAccident investigation<\/strong> The skid marks from a car involved in an accident measured [latex]216[\/latex] feet. What was the speed of the car before the brakes were applied?\r\n
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                                                                                        1. \r\n
                                                                                            [reveal-answer q=\"353928\"]Show Solution[\/reveal-answer]<\/ol>\r\n
                                                                                              [hidden-answer a=\"353928\"]72 mph[\/hidden-answer]<\/ol>\r\n<\/li>\r\n<\/ol>\r\nAccident investigation<\/strong> An accident investigator measured the skid marks of one of the vehicles involved in an accident. The length of the skid marks was [latex]175[\/latex] feet. What was the speed of the vehicle before the brakes were applied?\r\n\r\nAccident investigation<\/strong> An accident investigator measured the skid marks of one of the vehicles involved in an accident. The length of the skid marks was [latex]117[\/latex] feet. What was the speed of the vehicle before the brakes were applied?\r\n
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                                                                                              1. \r\n
                                                                                                  [reveal-answer q=\"875333\"]Show Solution[\/reveal-answer]<\/ol>\r\n
                                                                                                    [hidden-answer a=\"875333\"]53.0 mph[\/hidden-answer]<\/ol>\r\n<\/li>\r\n<\/ol>\r\n
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                                                                                                      Everyday Math<\/h3>\r\n
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                                                                                                      1. Decorating<\/strong> Denise wants to install a square accent of designer tiles in her new shower. She can afford to buy [latex]625[\/latex] square centimeters of the designer tiles. How long can a side of the accent be?Decorating<\/strong> Morris wants to have a square mosaic inlaid in his new patio. His budget allows for [latex]2,025[\/latex] tiles. Each tile is square with an area of one square inch. How long can a side of the mosaic be?\r\n[reveal-answer q=\"898070\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"898070\"]45 inches[\/hidden-answer]<\/li>\r\n<\/ol>\r\n<\/div>\r\n

                                                                                                        <\/h3>\r\n
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                                                                                                        Writing exercises<\/h3>\r\n