188 Chapter 2 Linear Equations and Inequalities 48. 49. 50. 51. 52. 53. 0.05x 0.10124 x2 0.751242 Section 2.5 0.201x 42 0.65x 0.2018542 100 1t 62 1t 12 3 1x 42 5 3x 10 4x 5t 12t 142 3t 14 9 612z 12 314z 12 Section 2.4 54. Twelve added to the sum of a number and two is forty-four. Find the number. 55. Twenty added to the sum of a number and six is thirty-seven. Find the number. 56. Three times a number is the same as the difference of twice the number and seven. Find the number. 57. Eight less than five times a number is forty-eight less than the number. Find the number. 58. Three times the largest of three consecutive even integers is 76 more than the sum of the other two integers. Find the integers. 59. Ten times the smallest of three consecutive integers is 213 more than the sum of the other two integers. Find the integers. 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. 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. 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? For Exercises 64–69, solve each problem involving percents. 64. What is 35% of 68? 65. What is 4% of 720? 66. 53.5 is what percent of 428? 67. 68.4 is what percent of 72? 68. 24 is 15% of what number? 69. 8.75 is 0.5% of what number? 70. 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? 71. 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? 72. 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? 73. A novel is discounted 30%.The sale price is $20.65.What was the original price? 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 for C P 4s for s P 3s for s y mx b for x a bx c for x 79. 80. 81. 41a b2 Q for b 2x 5y 2 for y 312
miller_beginning_intermediate_algebra_4e_ch1_3
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