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2 years ago

A stack of 500 pieces of paper is 1.875 inches tall.

Mathematics

1 answer:

gtnhenbr [62]2 years ago

8 0

If there were 1000 sheets of paper, then the thickness of each sheet would be 1.875 in divided by 1000.

1.875/1000 = 0.001875

Since there are 500 sheets of paper, each one is twice as thick as 0.001875, so each sheet is 0.00375 inches thick. 0.015 is much greater than 0.00375, so it must be incorrect.

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2 years ago

The sum of two integers is 33. The larger is 6 more than twice the smaller. Find the two

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Answer:

24 and 9

Step-by-step explanation:

Hi there!

Let x be equal to the larger integer.

Let y be equal to the smaller integer.

1) Construct equations

$x+y=33$ (The sum of two integers is 33)
$x=6+2y$ (The larger is 6 more than twice the smaller)

2) Solve for one of the integer

Isolate x in the first equation

$x+y=33\\x=33-y$

Plug the first equation into the second

$33-y=6+2y$

Combine like terms

$33-6=2y+y\\27=3y\\9=y$

Therefore, the smaller integer is 9.

3) Solve for the other integer

$x+y=33$

Plug in y (9)

$x+9=33\\x=33-9\\x=24$

Therefore, the larger integer is 24.

I hope this helps!

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