(4.5) 41) Find three points that satisfy the inequality and three that are not in the solution set. Answers may vary. x y x y Graph each inequality. 42) y x 4 43) y 1 3 x 1 44) x 2 45) 2x 3y 9 46) 3x y 2 47) y 0 48) Find three points that are in the solution set of the system and three that are not. Answers may vary. x y 5 5 5 5 3x 4y 8 x y 1 Graph the solution set of each system. 49) x 1 50) y 2x 4 y x 1 2x y 1 51) 3x y 0 52) x 3y 3 3x 2y 4 x y 2 53) x 0 y 0 y 2x 4 54) x 0 y 0 2x 5y 5 (4.4) Write a system of equations, and solve. 31) One day in the school cafeteria, the number of children who bought white milk was twice the number who bought chocolate milk. How many cartons of each type of milk were sold if the cafeteria sold a total of 141 cartons of milk? white: 94; chocolate: 47 32) How many ounces of a 7% acid solution and how many ounces of a 23% acid solution must be mixed to obtain 20 oz of a 17% acid solution? 7%: 7.5 oz; 23%: 12.5 oz 33) Edwin and Camille leave from opposite ends of a jogging trail 7 miles apart and travel toward each other. Edwin jogs 2 mph faster than Camille, and they meet after half an hour. How fast does each of them jog? Edwin: 8 mph; Camille: 6 mph 34) At a movie theater concession stand, three candy bars and two small sodas cost $14.00. Four candy bars and three small sodas cost $19.50. Find the cost of a candy bar and the cost of a small soda. candy bar: $3.00; soda: $2.50 35) The width of a rectangle is 5 cm less than the length. Find the dimensions of the rectangle if the perimeter is 38 cm. length: 12 cm; width: 7 cm 36) Two planes leave the same airport and travel in opposite directions. The northbound plane fl ies 40 mph slower than the southbound plane. After 1.5 hours they are 1320 miles apart. Find the speed of each plane. northbound: 420 mph; southbound: 460 mph 37) Shawanna saves her quarters and dimes in a piggy bank. When she opens it, she has 63 coins worth a total of $11.55. How many of each type of coin does she have? quarters: 35; dimes: 28 38) Find the measure of angles x and y if the measure of angle x is half the measure of angle y. y mx 29°; my 58° x 93 39) At a ski shop, two packs of hand warmers and one pair of socks cost $27.50. Five packs of hand warmers and three pairs of socks cost $78.00. Find the cost of a pack of hand warmers and a pair of socks. hand warmers: $4.50; socks: $18.50 40) A 7 P.M. spinning class has 9 more members than a 10 A.M. spinning class. The two classes have a total of 71 students. How many are in each class? 7 P.M.: 40; 10 A.M.: 31 304 CHAPTER 4 Linear Equations and Inequalities in Two Variables www.mhhe.com/messersmith
messersmith_power_introductory_algebra_1e_ch4_7_10
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