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Arturiano [62]
3 years ago
10

It takes 1 yard 2 feet of material to make a pillow. How much material is required to make 8 pillows?

Mathematics
1 answer:
Monica [59]3 years ago
7 0

40 feet or 13 yards and 1 foot

using the conversion

1 yard = 3 feet then 1 yard 2 feet = 5 feet ← material for 1 pillow, hence

8 pillows require 8 × 5 = 40 feet



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Multiple the numerator by numerator, and denominator by denominator, then simplify
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3 years ago
5x-3x(26x-7x-28x) systems of equation
labwork [276]

Simplifying
5x + 2(8x + -9) = 3(x + 4) + -5(2x + 7)

Reorder the terms:
5x + 2(-9 + 8x) = 3(x + 4) + -5(2x + 7)
5x + (-9 * 2 + 8x * 2) = 3(x + 4) + -5(2x + 7)
5x + (-18 + 16x) = 3(x + 4) + -5(2x + 7)

Reorder the terms:
-18 + 5x + 16x = 3(x + 4) + -5(2x + 7)

Combine like terms: 5x + 16x = 21x
-18 + 21x = 3(x + 4) + -5(2x + 7)

Reorder the terms:
-18 + 21x = 3(4 + x) + -5(2x + 7)
-18 + 21x = (4 * 3 + x * 3) + -5(2x + 7)
-18 + 21x = (12 + 3x) + -5(2x + 7)

Reorder the terms:
-18 + 21x = 12 + 3x + -5(7 + 2x)
-18 + 21x = 12 + 3x + (7 * -5 + 2x * -5)
-18 + 21x = 12 + 3x + (-35 + -10x)

Reorder the terms:
-18 + 21x = 12 + -35 + 3x + -10x

Combine like terms: 12 + -35 = -23
-18 + 21x = -23 + 3x + -10x

Combine like terms: 3x + -10x = -7x
-18 + 21x = -23 + -7x

Solving
-18 + 21x = -23 + -7x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '7x' to each side of the equation.
-18 + 21x + 7x = -23 + -7x + 7x

Combine like terms: 21x + 7x = 28x
-18 + 28x = -23 + -7x + 7x

Combine like terms: -7x + 7x = 0
-18 + 28x = -23 + 0
-18 + 28x = -23

Add '18' to each side of the equation.
-18 + 18 + 28x = -23 + 18

Combine like terms: -18 + 18 = 0
0 + 28x = -23 + 18
28x = -23 + 18

Combine like terms: -23 + 18 = -5
28x = -5

Divide each side by '28'.
x = -0.1785714286

Simplifying
x = -0.1785714286
3 0
3 years ago
Simplify each expression as much as possible, and rationalize denominators when applicable. . √54x^2=?
JulijaS [17]

Answer:

\sqrt{54x^{2}} = 3x\sqrt{6}

Step-by-step explanation:

We have

\sqrt{54x^{2}} this equals to

\sqrt{3.3.3.2.x^{2} }  now we try to agrupate to have exponent of 2 that we can cancel

\sqrt{3^{2}.3.2x^{2}}  we can take out the ones with exponent from the root

3x\sqrt{3.2} \\= 3x\sqrt{6}

3 0
3 years ago
Kate buys 10 tickets to a show she also pays a $5 parking fee she spent $35 to see the show
jeka57 [31]

Answer:

The answer is 40

Step-by-step explanation:

Its 40 because 35 plus 5 is 40

3 0
3 years ago
Read 2 more answers
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DochEvi [55]

Answer:

the answer is x = 2 or B, hope this helps

Step-by-step explanation:

4 0
2 years ago
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