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OLEGan [10]
3 years ago
9

A delivery person uses a service elevator to bring boxes of books up to an office. The delivery person weighs 160 lbs and each b

ox of books weighs 50 lbs. The maximum capacity of the elevator is 1000 lbs. How many boxes of books can the delivery person bring up at one time? Note: The delivery person cannot bring up a partial/fraction of a box.
Mathematics
1 answer:
german3 years ago
8 0

Answer:

16 boxes

Step-by-step explanation:

160+50x=1000

Solve for the x and you'll get 16.8. Now, because you can't have a fraction of a box, and you can't go over the limit, the answer is 16 boxes.

(How to solve for x:

Get x by itself by subtracting 160 to both sides.

50x=1000-160

50x=840

Divide both sides by 50.

x=16.8)

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First, let's do surface area.

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The perimeter of the base is 10(4) = 40; as the base is a square with a side length of 10.

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The area of the base is 10(10) = 100.

We can plug those numbers into the equation to get 1/2(40)(5) + 100, which comes out to be 200cm^{2}.

Now for volume.

The volume of a pyramid is equal to 1/3(area of the base)(height).

We already have the area of the base, which is 100.

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Hope this helps!

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