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Alona [7]
3 years ago
12

Factor the expression using the GCF. 18x + 24y.

Mathematics
1 answer:
Georgia [21]3 years ago
8 0
Answer: 6(3x + 4y)

1. Find the GCF (the largest number that goes into both 18x AND 24y). This would be 6.

2. Factor out the 6 by dividing each of the terms by the GCF
18x/6 = 3x
24y/6 = 4y

3. Write as a factored expression
6(3x + 4y)
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<u>Answer:</u>

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<u>Step-by-step explanation:</u>

The ratio of the length to width is 7:4.

∴ \frac{l}{w} = \frac{7}{4}

⇒ l = \frac{7}{4} w                 [Equation 1]

We know that the perimeter of the garden is 176 feet.

∴ 2(l + w) = 176

⇒ 2(\frac{7}{4}w  + w) = 176

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⇒ \frac{7 w + 4w}{4}  = 88

⇒ \frac{11w}{4} = 88

⇒ 11w = 352

⇒ w = \bf 32 \space\ ft

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l = \frac{7}{4} w

∴ l = \frac{7}{4} (32)

⇒ l = \bf 56 \space\ ft

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2 years ago
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