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astraxan
2 months ago
4

A contractor needs to buy nails to build a house. The nails come in small boxes and large boxes. Each small box has 200 nails an

d each large box has 500 nails. The contractor bought twice as many large boxes as small boxes, which altogether had 6000 nails. Determine the number of small boxes purchased and the number of large boxes purchased.
Mathematics
1 answer:
lawyer [12.5K]2 months ago
4 0

Answer:

5 small boxes and 10 large boxes

Step-by-step explanation:

A small box contains 200 nails

A large box has 500 nails

We set up the equation: 2(500n) + 200n = 6000

which simplifies to 1000n + 200n = 6000

Thus, 1200n = 6000

Solving for n gives n = 5

There are 5 small boxes: 5(200) = 1000

Subtracting gives 6000 - 1000 = 5000

Dividing we find 5000 ÷ 500 = 10

This confirms that the contractor acquired twice as many large boxes as small boxes, validating the count of 10 large boxes and 5 small boxes.

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Answer:

The expression representing the sum of three times a number and six, over the difference of seven times that number and nine

Step-by-step explanation:

we have

\frac{3p+6}{7p-9}

Let

p  -----> the variable

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In the numerator we have (3p+6)

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1 month ago
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Answer:

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Step-by-step explanation:

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