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Alenkasestr [34]
3 years ago
14

carrie is making a bed skirt for her twin beds. one side of a mattress measures 39 inches, and another side measures 75 inches.

how many feet of fabric will carrie need to make skirts for both beds?
Mathematics
1 answer:
Anna35 [415]3 years ago
6 0

Answer: 38 feet.

Step-by-step explanation:

The beds have the same dimensions.

Then, to find the number of feet of fabric that Carrie will need to make skirts for both beds, you need to calculate the perimeter of one of them and multiply it by 2. After this, you can make the conversion from inches to feet.

The perimeter of a rectangle can be calculated with this formula:

P=2l+2w

Where "l" is the length and "w" is the width.

You know that the dimensions of each bed are:

l=75in\\w=39in

Then you can substitute these values into the formula:

P=2(75in)+2(39in)\\P=228in

Therefore,  the number of inches of fabric that Carrie will need to make skirts for both beds is:

P_{total}=2*228in=456in

Make the conversion from inches to feet.  Then, 456 inches to feet is:

(456in)(\frac{1ft}{12in})=38ft

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Using elimination method
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Step-by-step explanation:

<h3><u>Given</u>;</h3>
  • -7x + y = – 19
  • -2x + 3y = – 19
<h3><u>To </u><u>Find</u>;</h3>
  • The value of x and y
<h3><u>B</u>y<u> </u><u>Usin</u>g<u> </u><u>Elimination</u><u> </u><u>Method</u>;</h3>

First name the equation

  • -7x + y = – 19 ...(1)
  • -2x + 3y = – 19 ...(2)

Now, Multiply equation (1) by 3 we get,

3 × (-7x + y = – 19)

-21x + 3y = – 57

Now, Eliminate

-21x + 3y = – 57

-2x + 3y = – 19

<u>+</u><u> </u><u> </u><u> </u><u> </u><u>–</u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u>+</u><u> </u><u> </u><u> </u><u> </u>

-19x = -38

x = -38/-19

x = 2

Now, Put the value of x in equation (2) we get the value of y.

-7x + y = – 19

-7(2) + y = – 19

-14 + y = -19

-14 + 14 + y = -19 + 14

y = -5

Thus, The value of x is (-5) and the value of y is 2.

<h3><u>For </u><u>Verification</u>;</h3>

-7x + y = – 19

-7(2) + (-5) = – 19

-14 – 5 = – 19

-19 = -19

-2x + 3y = – 19

-2(2) + 3(-5) = – 19

-4 – 15 = – 19

-19 = -19

Here, L.H.S = R.H.S

Hence Verified!

<u>-TheUnknownScientist 72</u>

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2 years ago
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