Review Exercises 205 46. 5.74a 9.28 2.24a 5.42 4.2 47. 62.84t 123.66 412.36 2.4t2 2.5 48. 0.05x 0.10124 x2 0.751242 312 49. 0.201x 42 0.65x 0.2018542 200 50. 100 1t 62 1t 12 No solution 51. 3 1x 42 5 3x 10 4x No solution 52. 5t 12t 142 3t 14 All real numbers 53. 9 612z 12 314z 12 All real numbers Section 2.4 54. Twelve added to the sum of a number and two is forty-four. Find the number. The number is 30. 55. Twenty added to the sum of a number and six is thirty-seven. Find the number. The number is 11. 56. Three times a number is the same as the difference of twice the number and seven. Find the number. The number is 7. 57. Eight less than five times a number is forty-eight less than the number. Find the number. The number is 10. 58. Three times the largest of three consecutive even integers is 76 more than the sum of the other two integers. Find the integers. The integers are 66, 68, and 70. 59. Ten times the smallest of three consecutive integers is 213 more than the sum of the other two integers. Find the integers. The integers are 27, 28, and 29. 60. The perimeter of a triangle is 78 in.The lengths of the sides are represented by three consecutive integers. Find the lengths of the sides of the triangle. The sides are 25 in., 26 in., and 27 in. 61. The perimeter of a pentagon (a five-sided polygon) is 190 cm.The five sides are represented by consecutive integers. Find the lengths of the sides. 62. Minimum salaries of major league baseball players soared after a new ruling in 1975. In 2010, the minimum salary for a major league player was $400,000.This is 25 times the minimum salary in 1975. Find the minimum salary in 1975. In 1975 the minimum salary was $16,000. 63. The state of Indiana has approximately 2.1 million more people than Kentucky.Together their population totals 10.3 million.Approximately how many people are in each state? Indiana has 6.2 million people and Kentucky has 4.1 million. Section 2.5 For Exercises 64–73, solve the problems involving percents. 64. What is 35% of 68? 65. What is 4% of 720? 23.8 28.8 66. 53.5 is what percent of 428? 67. 68.4 is what percent of 72? 68. 24 is 15% of what number? 12.5% 95% 69. 8.75 is 0.5% of what number? 160 70. A novel is discounted 30%.The sale price is $20.65.What was the original price? The novel originally cost $29.50. 71. A couple spent a total of $50.40 for dinner.This included a 20% tip and 6% sales tax on the price of the meal.What was the price of the dinner before tax and tip? The dinner was $40 before tax and tip. 72. Anna Tsao invested $3000 in an account paying 8% simple interest. a. How much interest will she earn in years? b. What will her balance be at that time? 73. Eduardo invested money in an account earning 4% simple interest. At the end of 5 years, he had a total of $14,400. How much money did he originally invest? Section 2.6 For Exercises 74–81, solve for the indicated variable. 74. 75. 76. 77. 78. C K 273 for K K C 273 K C 273 for C C K 273 s 79. x 80. 81. b 41a b2 Q for b Q 4a Q or b a 4 4 y 2x 2 5 2x 5y 2 for y c a b a bx c for x x y b m y mx b for x P 3 P 3s for s s P 4 P 4s for s $12,000 312 1750 $840 $3840 The sides are 36 cm, 37 cm, 38 cm, 39 cm, and 40 cm. Writing Translating Expression Geometry Scientific Calculator Video
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