Solutions to Try Its
1. 11 and 25
2. [latex]C=2.5x+3,650[/latex]
3. 45 mi/h
4. [latex]L=37[/latex] cm, [latex]W=18[/latex] cm
5. 250 ft2
Solutions to Odd-Numbered Exercises
1. Answers may vary. Possible answers: We should define in words what our variable is representing. We should declare the variable. A heading.
3. [latex]2,000-x[/latex]
5. [latex]v+10[/latex]
7. Ann: [latex]23[/latex]; Beth: [latex]46[/latex]
9. [latex]20+0.05m[/latex]
11. 300 min
13. [latex]90+40P[/latex]
15. 6 devices
17. [latex]50,000-x[/latex]
19. 4 h
21. She traveled for 2 h at 20 mi/h, or 40 miles.
23. $5,000 at 8% and $15,000 at 12%
25. [latex]B=100+.05x[/latex]
27. Plan A
29. [latex]R=9[/latex]
31. [latex]r=\frac{4}{5}[/latex] or 0.8
33. [latex]W=\frac{P - 2L}{2}=\frac{58 - 2\left(15\right)}{2}=14[/latex]
35. [latex]f=\frac{pq}{p+q}=\frac{8\left(13\right)}{8+13}=\frac{104}{21}[/latex]
37. [latex]m=\frac{-5}{4}[/latex]
39. [latex]h=\frac{2A}{{b}_{1}+{b}_{2}}[/latex]
41. length = 360 ft; width = 160 ft
43. 405 mi
45. [latex]A=88\text{ in}{.}^{2}[/latex]
47. 28.7
49. [latex]h=\frac{V}{\pi {r}^{2}}[/latex]
51. [latex]r=\sqrt{\frac{V}{\pi h}}[/latex]
53. [latex]C=12\pi [/latex]