Section 1.2Solving Multi-StepEquations17USING EQUATIONS In Exercises 35−37, write and solve an equation to answer the question. Check that the units on each side of the equation balance. (See Examples 4 and 5.) 35. During the summer, you work 30 hours per week at a gas station and earn $8.75 per hour. You also work as a landscaper for $11 per hour and can work as many hours as you want. You want to earn a total of $400 per week. How many hours must you work as a landscaper? 36. The area of the surface of the swimming pool is 210 square feet. What is the length d of the deep end (in feet)? 9 ft10 ftddeependshallowend 37.You order two tacos and a salad. The salad costs $2.50. You pay 8% sales tax and leave a $3 tip. You pay a total of $13.80. How much does one taco cost?JUSTIFYING STEPS In Exercises 38 and 39, justify each step of the solution. 38. 1 — 2(5x 8) 1 6 Write the equation. 1 — 2(5x 8) 7 5x 8 14 5x 6 x 6 — 5 39. 2(x + 3) + x 9 Write the equation. 2(x) + 2(3) + x 9 2x + 6 + x 9 3x + 6 9 3x 15 x 5 ERROR ANALYSIS In Exercises 40 and 41, describe and correct the error in solving the equation. 40. −2(7 − y) 4 = −4 −14 − 2y 4 = −4 −10 − 2y = −4 −2y = 6 y = −3
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41. 1 — 4 (x − 2) 4 = 12 1 — 4 (x − 2) = 8 x − 2 = 2 x = 4
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MATHEMATICAL CONNECTIONS In Exercises 42−44, write and solve an equation to answer the question. 42. The perimeter of the tennis court is 228 feet. What are the dimensions of the court? 2w + 6w 43. The perimeter of the Norwegian  ag is 190 inches. What are the dimensions of the ag? yy118 44. The perimeter of the school crossing sign is 102 inches. What is the length of each side? s +s 6+ 6ss2s