Page 777 - Basic College Mathematics with Early Integers

ANSWERS TO SELECTED EXERCISES A9

14. 25; Sec. 1.7 15. 1038 mi; Sec. 1.8, Ex. 1 16. 11; Sec. 1.9 17. 81; Sec. 1.9, Ex. 5 18. 125; Sec. 1.9 19. 81; Sec. 1.9, Ex. 7 20. 1000; Sec. 1.9
21. 2; Sec. 2.1, Ex. 3 22. 6; Sec. 2.1 23. a. -11 b. 2 c. 0; Sec. 2.2, Ex. 5 24. a. 7 b. -4 c. 1; Sec. 2.2 25. -23 ; Sec. 2.3, Ex. 4 26. -22 ; Sec. 2.3
4 1
27. 180; Sec. 1.9, Ex. 8 28. 32; Sec. 1.9 29. -49 ; Sec. 2.5, Ex. 9 30. -32 ; Sec. 2.5 31. 25; Sec. 2.5, Ex. 8 32. -9 ; Sec. 2.5 33. or 1 ; Sec. 3.1, Ex. 11
3 3
11 3 15 3 14 2
2
3
34. or 2 ; Sec. 3.1 35. or 3 ; Sec. 3.1, Ex. 12 36. or 4 ; Sec. 3.1 37. 2 2 # # 7 ; Sec. 3.2, Ex. 3 38. 62; Sec. 1.4
4 4 4 4 3 3
36 79 10 1
39. - ; Sec. 3.2, Ex. 8 40. ; Sec. 3.6 41. equivalent; Sec. 3.2, Ex. 10 42. 7 ; Sec. 3.5 43. ; Sec. 3.3, Ex. 1 44. 1 ; Sec. 3.7
13 8 33 2
1
45. ; Sec. 3.3, Ex. 2 46. 37; Sec. 3.7 47. 829.6561; Sec. 4.2, Ex. 2 48. 230.8628; Sec. 4.2 49. 18.408; Sec. 4.3, Ex. 1 50. 28.251; Sec. 4.3
8
Chapter 5 Ratio, Proportion, and Measurement
Section 5.1
Vocabulary and Readiness Check 1. unit 3. division 5. numerator; denominator 7. false 9. false 11. true Answers to Selected Exercises
2 77 463 3 8 12 2 4 10 25 5 17 10 1 15
Exercise Set 5.1 1. 3. 5. 7. 9. 11. 13. 15. 17. 19. 21. 23. 25. 27. 29.
3 100 821 4 25 7 7 1 29 144 4 40 279 3 1
1 shrub 3 returns 2 phone lines 9 gal
31. 33. 35. 37. 39. 75 riders/car 41. 90 wingbeats/sec 43. $50,000/yr 45. 225,250 voters/senator
3 ft 20 sales 9 employees 2 acres
47. 300 good/defective 49. $0.14 per mile 51. $59,800/house 53. a. 31.25 computer boards/hr b. 33.5 computer boards/hr c. Suellen
55. a. L27.6 miles/gal b. L29.2 miles/gal c. the truck 57. $11.50 per DVD 59. $0.17 per banana 61. 8 oz: $0.149 per oz; 12 oz:
$0.133 per oz; 12 oz 63. 16 oz: $0.106 per oz; 6 oz: $0.115 per oz; 16 oz 65. 12 oz: $0.191 per oz; 8 oz: $0.186 per oz; 8 oz
67. 100: $0.006 per napkin; 180: $0.005 per napkin; 180 napkins 69. 2.3 71. 0.15 73. no; answers may vary 75. 257; 19.2 77. 347; 21.6
71 9
79. 1.5 steps/ft 81. answers may vary 83. no; answers may vary 85. no; 87. no; 89. no; the shipment should not be refused
3 3 43 2
91. a. b. c. no; answers may vary
5 2
Section 5.2
Vocabulary and Readiness Check 1. proportion; ratio 3. true 5. true 7. false 9. true
10 diamonds 5 diamonds 3 printers 1 printer 6 eagles 3 eagles
Exercise Set 5.2 1. = 3. = 5. =
6 opals 3 opals 12 computers 4 computers 58 sparrows 29 sparrows
1 3
2 cups flour 6 cups flour
4 4 22 vanilla wafers 55 vanilla wafers
7. = 9. = 11. true 13. false 15. true 17. true 19. false
24 cookies 72 cookies 1 cup cookie crumbs 2.5 cups cookie crumbs
2 2
8 4 5 13 1.8 4.5 3 5
21. false 23. true 25. false 27. true 29. = ; true 31. = ; false 33. = ; true 35. = ; false 37. 3 39. -9 41. -4
12 6 2 5 2 5 1 1
5 9
9 3 35 9 15 5 3 15 5
43. 3.2 45. 38.4 47. 25 49. 0.0025 51. 1 53. 55. 12 57. 59. 61. 6 63. 7 65. 6 67. = ; = ; =
20 4 18 3 5 15 9 9 3
6 18 3 1 18 3 d c a b b d
69. = ; = ; = 71. = ; = ; = 73. answers may vary 75. 14.9 77. 0.07 79. 3.163 81. 0 83. 1400 85. 252.5
1 3 18 6 6 1 b a c d a c
Section 5.3
Exercise Set 5.3 1. 360 baskets 3. 165 min 5. 630 applications 7. 23 ft 9. 270 sq ft 11. 25 gal 13. 450 km 15. 16 bags 17. 15 hits
2
19. 27 people 21. 18 applications 23. 5 weeks 25. 10 servings 27. 37.5 sec 29. a. 18 tsp b. 6 tbsp 31. 6 people 33. 112 ft;
3
11-in. difference 35. 102.9 mg 37. 1248 feet; coincidentally, this is the actual height of the Empire State Building 39. 434 emergency room visits
#
41. 28 workers 43. 2.4 c 45. a. 0.1 gal b. 13 fl oz 47. a. 2062.5 mg b. no 49. 3 5 51. 2 2 # 5 53. 2 3 # 5 2 55. 2 5 57. 0.8 ml 59. 1.25 ml
2
61. 11 L 12 or 1 dozen; 1.5 * 8 = 12; 12 cups of milk 63. 4 ft 65. answers may vary
3
9 9 43 8 173 6 7 20 2 1 1087 1 1 2
Integrated Review 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. a. 13 b. 14.
10 25 50 23 139 7 26 33 3 8 761 4 3 3
1 office 2 lights 16 computers 9 students
15. 16. 17. 18. 19. 55 mi/hr 20. 140 ft/sec 21. 23 mi/gal
4 graduate assistants 5 ft 25 households 2 computers
22. 16 teachers/computer 23. 3 packs: $0.80 per pack; 8 packs: $0.75 per pack; 8 packs 24. 4: $0.92 per battery; 10: $0.99 per battery; 4 batteries
8
25. no 26. yes 27. 24 28. 32.5 29. 2.72 or 2 30. 18
11
Section 5.4
Vocabulary and Readiness Check 1. meter 3. yard 5. feet 7. feet
1
Exercise Set 5.4 1. 5 ft 3. 36 ft 5. 8 mi 7. 102 in. 9. 3 yd 11. 33,792 ft 13. 4.5 yd 15. 0.25 ft 17. 13 yd 1 ft 19. 7 ft 1 in. 21. 1 mi 4720 ft
3