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Ronald is making hats and scarves for charity. He has enough yarn to make 5 hats and 8 scarves. It takes him 12 hours to knit a hat and 6 hours to knit a scarf; he has 20 hours to knit. Let x represent the number of hats made. Let y represent the number of scarves made. Which inequalities are among the constraints for this situation?a: x≤5b: x+y≤20c: 12x+6y≤20d: y≤8e: 5x+8y≤20 |
Answer» x≤512x+6y≤20y≤8Step-by-step explanation: Let x REPRESENT the number of HATS made. Let y represent the number of scarves made. We are given that He has enough YARN to make 5 hats and 8 scarves. So, Time TAKEN to complete 1 hat = 12 hours Time taken to compete x hats = 12x Time taken to complete 1 scarf = 6 hours Time taken to compete y scarves = 6y He has 20 hours to knit. So, Inequality : So, Option A ,C and D are among the constraints for this situation. #Learn more: Chevy has some yarn that he wants to use to make hats and scarves. Each hat uses 0.20.20, point, 2 kilograms of yarn and each scarf uses 0.10.10, point, 1 kilograms of yarn. Chevy wants to use 222 kilograms of yarn to make a total of 151515 items. Let hhh be the number of hats Chevy makes and sss be the number of scarves he makes. Which system of equations represents this situation? |
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