Assignment 5 Notes-5

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Berklee College of Music *

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130

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Mathematics

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Apr 3, 2024

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Algebraic Systems and Expressing Numbers Appropriately 1.Solve for i: j = 5 ; 3i + j = -19 2.A roadie carries three (equal-sized) boxes of T-shirts and one box of CDs to a gig. These boxes weigh a total of 70 pounds. The box of CDs weighs 25 pounds. How many pounds does each box of T-shirts weigh?

Algebraic Systems and Expressing Numbers Appropriately 3.Solve for n: 10m – 4n = 81 ; m = 6 4.A solo artist spends ninety minutes filling her online orders. She has eighteen CDs to prepare for shipping. She plans to spend the rest of her time autographing posters. It takes her an average of three minutes to prepare a CD for shipping. She manages to autograph forty-eight posters during this time. How many seconds on average does it take her to autograph a poster?

Algebraic Systems and Expressing Numbers Appropriately 5.Solve for c and d: –5c + 9d = 19.5 ; 4d – 1 = 11

Algebraic Systems and Expressing Numbers Appropriately 6.A cat shelter has cats and kittens, plus a small group of ferrets. The ferrets eat a total of 18 pounds of food each week. One week the shelter has 34 adult cats, plus the ferrets, and the animals consume 120 pounds of food. At the end of that week five adult cats are adopted out, but someone delivers twelve kittens to the shelter. The following week the animals at the shelter consume 126 pounds of food. How many pounds of food is each kitten eating each week?

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