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A bricklayer uses the formula n = 7 l h to estimate the number of bricks, n, needed to build a wall that is l feet long and h feet high. Which of the following correctly expresses l in terms of n and h ?

A) l = n * h / 7
B) l = 7 * n * h
C) l = h / (7n)
D) l = n / (7 * h)

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Final answer:

The correct expression that represents the length l in terms of the number of bricks n and the height h is l = n / (7h), which corresponds to Option D.

Step-by-step explanation:

The formula given by the student for estimating the number of bricks, n, needed to build a wall is n = 7lh. To express the length, l, in terms of n and h, we need to solve the given equation for l. By dividing both sides of the equation by 7h, we isolate l on one side:

l = n / (7h)

Therefore, the correct expression is Option D, which states that the length l is equal to the number of bricks n divided by the product of 7 and the height h.

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