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4 years ago

6

Which value of g makes 26=7(g-9)+12 a true statement?

1 answer:

KatRina [158]4 years ago

6 0

Choice A

Reasoning

26=7(g-9)+12
26=7(11-9)+12
26=7(2)+12
26=14+12
26=26

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The length of concrete patio is 6.5 feet which is less than given 7 foot picnic table. So the concrete slab is not enough to fit a 7 foot picnic table

<em><u>Solution:</u></em>

Given that concrete patio is $5\frac{2}{3}$ feet wide

Area of concrete patio = $36\frac{2}{3}$ square feet

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$\texttt{Width of concrete patio = }5\frac{2}{3}=\frac{5\times 3+2}{3}=\frac{17}{3}feet\\\\\text{Area of concrete patio = }36\frac{2}{3}=\frac{36\times 3+2}{3}=\frac{110}{3}feet^2$

Let us find the length of concrete patio

Concrete patio is usually of shape rectangle

Area of concrete patio = length x width

$\frac{110}{3} = length \times \frac{17}{3}\\\\length = \frac{110}{3} \times \frac{3}{17}\\\\length = \frac{110}{17} = 6.4705 \approx 6.5$

Therefore length of concrete patio is 6.5 feet

So it cannot fit the 7 foot picnic table. Since the length of concrete patio is 6.5 feet which is less than given 7 foot picnic table

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