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Ronald is making hats and scarves for charity

Math

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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? Select each correct answer.

a: x≤5
b: x+y≤20
c: 12x+6y≤20
d: y≤8

e: 5x+8y≤20

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Answer:

x≤5

12x+6y≤20

y≤8

Step-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.

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Ronald is making hats and scarves for charity

Math