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insens350 [35]
3 years ago
7

Solve for x: 3x + 11 = 41

Mathematics
1 answer:
ohaa [14]3 years ago
5 0

Answer:

x=10

Step-by-step explanation:

move all terms that don't contain x to the right side and solve.

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Answer:

The constant of proportionality between the actual dimensions of the pavers and the model is 9.


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Step-by-step explanation:

To solve this problem, let's transform all quantities to the same units (inches)


The actual dimensions of the pavers are:


Width = \frac{1}{8} ft * \frac{12in}{1 ft} = \frac{3}{2} in\\\\ Length = \frac{1}{4} ft * \frac{12in}{1 ft} = 3in


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Then, the constant of proportionality between the actual dimensions of the pavers and the model is 9.


Actual length = model length * (9)


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So:


(real width) * (real length) = ((9) Model width) * ((9) model length)


(real width) * (real length) = 9 ^ 2 * (Model width) * (model length)


(real area) = 81 * (Model area)


The proportionality constant for the area is 81.


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