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Review Exercises 311 Section 3.3 For Exercises 17–26, solve the system by using the addition method. For systems that do not have one unique solution, also state the number of solutions and whether the system is inconsistent or the equations are dependent. 2 5 3 5 17. x 18. x 2 3 y 1 y 1 3 19. 20. 21. 22. 4x 3y 5 3x 4y 10 3x 4y 2 3x y 1 2x 5y 1 2y 3x 8 6x 4y 4 3x y 16 31x y2 y 2x 2 x 1 3 y 1 3 14x 352 3y 1y 4x2 2x 9 23. 24. 1x 152 2x 2y 10 y 25. 26. 0.4x 0.3y 1.8 0.02x 0.01y 0.11 0.6x 0.2y 1.2 0.01x 0.04y 0.26 Section 3.4 27. Melinda invested twice as much money in an account paying 5% simple interest as she did in an account paying 3.5% simple interest. If her total interest at the end of 1 yr is $303.75, find the amount she invested in the 5% account. 28. A school carnival sold tickets to ride on a Ferris wheel. The charge was $1.50 for adults and $1.00 for students. If 54 tickets were sold for a total of $70.50, how many of each type of ticket were sold? 29. How many liters of 20% saline solution must be mixed with 50% saline solution to produce 16 L of a 31.25% saline solution? 134 30. It takes a pilot hr to travel with the wind from Jacksonville, Florida, to Myrtle Beach, South Carolina. Her return trip takes 2 hr flying against the wind.What is the speed of the wind and the speed of the plane in still air if the distance between Jacksonville and Myrtle Beach is 280 mi? 31. Two phone companies offer discount rates to students. Company 1: $9.95 per month, plus $0.10 per minute for long-distance calls Company 2: $12.95 per month, plus $0.08 per minute for long-distance calls a. Write a linear function describing the total cost for x min of long-distance calls from Company 1. b. Write a linear function describing the total cost for x min of long-distance calls from Company 2. c. How many minutes of long-distance calls would result in equal cost for both offers? 32. Two angles are complementary. One angle measures 6 more than 5 times the measure of the other.What are the measures of the two angles? Section 3.5 For Exercises 33–38, graph the solution set. 33. 2x 7 y 5 34. 2x 8 3y 7 6 5 4 y 54 3 1 2 3 4 5 21 1 2 3 x 3 2 1 y 543 21 1 2 3 4 5 1 2 3 4 5 6 7 x 3 2 1


miller_intermediate_algebra_4e_ch1_3
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