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Jlenok [28]
3 years ago
5

How do I solve 1/3x=x-22

Mathematics
1 answer:
Over [174]3 years ago
6 0
1/3x = x - 22  |Multiply everything by 3
x= 3x - 66     |Substract 3x from both sides
-2x = -66       |Divide both sides by -2
x = 33
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Ben needs 1 3/8 feet of fabric to make one banner. How many banners can he make from 4 1/2 yards of fabric?
skelet666 [1.2K]

Answer:

x = 9.818

x≈10

The number of banners that can be made are 10

Step-by-step explanation:

We can use the knowledge of proportion to solve this.

First we need to convert yard to feet.

  1  yard      = 3 foot

4 1/2 yard    = y

cross-multiply

y =  4 1/2  ×  3

    =9/2  ×   3

y = \frac{27}{2} feet

This implies 4 1/2 yards =  \frac{27}{2} feet

Let x be the numbers of banners needed to make from 4 1/2 yards of fabric.

1 3/8 feet  = 1 banner

\frac{27}{2}  feets    =    x

cross multiply

1 3/8 × x =  \frac{27}{2}

\frac{11x}{8}  =  \frac{27}{2}

cross-multiply

22x = 216

Divide both-side of the equation by 22

22x/22 = 216/22

x = 9.818

x≈10

The number of banners that can be made are 10

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