{"id":721,"date":"2016-11-30T22:20:12","date_gmt":"2016-11-30T22:20:12","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/waymakermath4libarts\/?post_type=chapter&p=721"},"modified":"2017-04-04T22:36:57","modified_gmt":"2017-04-04T22:36:57","slug":"putting-it-together","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/waymakermath4libarts\/chapter\/putting-it-together\/","title":{"raw":"Putting It Together: Measurement","rendered":"Putting It Together: Measurement"},"content":{"raw":"At the beginning of this module, you were lost in Paris surrounded by unfamiliar units of measurement. \u00a0Now that you know a little more about measurement and how to convert among units, you can get your travel plans sorted out in no time.\r\n\r\nLet\u2019s begin with deciding what to wear. \u00a0You know the temperature on the Celsius scale is 18\u00b0, but you are much more familiar with the Fahrenheit scale.\u00a0Convert Celsius to Fahrenheit in the following way:\r\n

[latex]F={\\large\\frac{5}{9}}C+32[\/latex]<\/p>\r\n

[latex]F={\\large\\frac{5}{9}}\\left(18\\right)+32[\/latex]<\/p>\r\n

[latex]F=42[\/latex]<\/p>\r\nTherefore, 18\u00b0C is 42\u00b0F. \u00a0You knew that the temperature was above freezing, which is 0\u00b0C, but now you have a better sense of just how cold it is based on your experiences. \u00a0A warm jacket might be appropriate, and perhaps a beret since you are in France.\r\n\r\n\"A<\/a>\r\n\r\n \r\n\r\nNow that you know what to wear, you would like\u00a0to go to the top of the Eiffel Tower which is about 300 meters tall. \u00a0Remember that meters can be used to measure height or distance. \u00a0Related units of measurement in the U.S. Customary system include yards, feet, and inches. \u00a0You want to compare the height of the Eiffel tower and the Empire State Building, but you only know the height of the Empire state Building in feet. You can convert from meters to feet to make the comparison.\r\n

[latex]1m\\approx3.28ft[\/latex]<\/p>\r\n

[latex]{\\Large\\frac{1m}{3.28ft}}={\\Large\\frac{300m}{x}}[\/latex]<\/p>\r\n

[latex]x\\approx984ft[\/latex]<\/p>\r\nThe Eiffel Tower is about 984 ft tall. \u00a0If the Empire State Building is 1,250 feet, it is a bit taller than the Eiffel Tower.\r\n\r\n\"Photo<\/a>\r\n\r\n \r\n\r\nAfter touring around Paris, you decide to drive to the city of Bordeaux. \u00a0You read that it is 565 km away. \u00a0You are familiar with driving distances in miles, so you decide to convert kilometers to miles.\r\n

[latex]1mi\\approx1.61km[\/latex]<\/p>\r\n

[latex]{\\Large\\frac{1mi}{1.61km}}={\\Large\\frac{x}{565km}}[\/latex]<\/p>\r\n

[latex]x\\approx350mi[\/latex]<\/p>\r\n

If you drive at 60 miles per hour, how long will the trip take?<\/p>\r\n

[latex]{\\Large\\frac{350mi}{60mph}}\\approx5.83h[\/latex]<\/p>\r\n

You will need to plan for about 6 hours of driving. It would not be a day trip so you will need to make plans to stay overnight.<\/p>\r\nThe last thing you need to plan for is gasoline. How many liters of gasoline will you need to buy if the rental Fiat 500\u00a0uses 4.8 liters of gasoline per 100 kilometer?\r\n

[latex]\\large\\frac{4.8\\text{L}}{100\\text{km}}\\normalsize{\\times 565\\text{km}=27.12\\text{L}}[\/latex]<\/p>\r\nYou are pleased that you will only need to fill the 35 L tank once to get to\u00a0Bordeaux and once to get back.\r\n\r\nNow you are dressed, have done some sightseeing, and you are on your way to a new adventure. \u00a0Thanks to a little understanding of measurement and unit conversions, you have taken the mystery out of traveling. \u00a0So go enjoy!","rendered":"

At the beginning of this module, you were lost in Paris surrounded by unfamiliar units of measurement. \u00a0Now that you know a little more about measurement and how to convert among units, you can get your travel plans sorted out in no time.<\/p>\n

Let\u2019s begin with deciding what to wear. \u00a0You know the temperature on the Celsius scale is 18\u00b0, but you are much more familiar with the Fahrenheit scale.\u00a0Convert Celsius to Fahrenheit in the following way:<\/p>\n

[latex]F={\\large\\frac{5}{9}}C+32[\/latex]<\/p>\n

[latex]F={\\large\\frac{5}{9}}\\left(18\\right)+32[\/latex]<\/p>\n

[latex]F=42[\/latex]<\/p>\n

Therefore, 18\u00b0C is 42\u00b0F. \u00a0You knew that the temperature was above freezing, which is 0\u00b0C, but now you have a better sense of just how cold it is based on your experiences. \u00a0A warm jacket might be appropriate, and perhaps a beret since you are in France.<\/p>\n

\"A<\/a><\/p>\n

 <\/p>\n

Now that you know what to wear, you would like\u00a0to go to the top of the Eiffel Tower which is about 300 meters tall. \u00a0Remember that meters can be used to measure height or distance. \u00a0Related units of measurement in the U.S. Customary system include yards, feet, and inches. \u00a0You want to compare the height of the Eiffel tower and the Empire State Building, but you only know the height of the Empire state Building in feet. You can convert from meters to feet to make the comparison.<\/p>\n

[latex]1m\\approx3.28ft[\/latex]<\/p>\n

[latex]{\\Large\\frac{1m}{3.28ft}}={\\Large\\frac{300m}{x}}[\/latex]<\/p>\n

[latex]x\\approx984ft[\/latex]<\/p>\n

The Eiffel Tower is about 984 ft tall. \u00a0If the Empire State Building is 1,250 feet, it is a bit taller than the Eiffel Tower.<\/p>\n

\"Photo<\/a><\/p>\n

 <\/p>\n

After touring around Paris, you decide to drive to the city of Bordeaux. \u00a0You read that it is 565 km away. \u00a0You are familiar with driving distances in miles, so you decide to convert kilometers to miles.<\/p>\n

[latex]1mi\\approx1.61km[\/latex]<\/p>\n

[latex]{\\Large\\frac{1mi}{1.61km}}={\\Large\\frac{x}{565km}}[\/latex]<\/p>\n

[latex]x\\approx350mi[\/latex]<\/p>\n

If you drive at 60 miles per hour, how long will the trip take?<\/p>\n

[latex]{\\Large\\frac{350mi}{60mph}}\\approx5.83h[\/latex]<\/p>\n

You will need to plan for about 6 hours of driving. It would not be a day trip so you will need to make plans to stay overnight.<\/p>\n

The last thing you need to plan for is gasoline. How many liters of gasoline will you need to buy if the rental Fiat 500\u00a0uses 4.8 liters of gasoline per 100 kilometer?<\/p>\n

[latex]\\large\\frac{4.8\\text{L}}{100\\text{km}}\\normalsize{\\times 565\\text{km}=27.12\\text{L}}[\/latex]<\/p>\n

You are pleased that you will only need to fill the 35 L tank once to get to\u00a0Bordeaux and once to get back.<\/p>\n

Now you are dressed, have done some sightseeing, and you are on your way to a new adventure. \u00a0Thanks to a little understanding of measurement and unit conversions, you have taken the mystery out of traveling. \u00a0So go enjoy!<\/p>\n\n\t\t\t

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Candela Citations<\/h3>\n\t\t\t\t\t
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