MATHEMATICS HIGH SCHOOL

A stack of paper contains 400 sheets. The volume of the stack is 140.25 cubic inches. Each sheet of paper is identical, with a length of 11 inches and a width of 8.5 inches. Find the height of each sheet of paper. Please put the process.

Answers

Answer 1

Answer:

Answer:

$0.00375\ \text{inches}$

Step-by-step explanation:

Volume of the stack of paper is 140.25 cubic inches

The length and width of the stack will be equal to that of a single sheet of paper so

$l=11\ \text{inches}$

$w=8.5\ \text{inches}$

Let $h$ be the height of the stack.

Volume of the stack would be

$lwh=140.25\n\Rightarrow h=(140.25)/(lw)\n\Rightarrow h=(140.25)/(11* 8.5)\n\Rightarrow h=1.5\ \text{inches}$

So the stack has a height of 1.5 inches. Now there are 400 sheet of paper in the stack.

Thickness of one sheet of paper is given by

$(1.5)/(400)=0.00375\ \text{inches}$

Hence, the height of each sheet of paper is $0.00375\ \text{inches}$ .

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Mr.Anderson drove 168 miles in 3 1/2 horurs. He then drove the next 2 1/4 hours at a rate of 5 miles faster than the first rate. How many miles did Mr. Anderson drive during the 5 3/4 hours?

Answers

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If gross pay increases by $500, total employee benefits increase by $200 and total job expenses decrease by $300, then total employment compensation

Answers

The correct answer is:

$1000

Explanation:

Your gross pay goes up $500; this is the integer +500.

Since employee benefits increase $200, this is adding 200 to our number:

500+200 = 700.

Job expenses decrease $300. This means the amount that you pay for expenses goes down $300; this is an addition to your income:

500+200+300= 700 + 300 = 1000

Answer:

The total employment compensation is "increased by $1000"

Step-by-step explanation:

We need to find the total employment compensation.

Let "x" be the gross pay that an employee gets before the benefit.

The gross pay increase by $500

So, the employee get x + $500

The employee benefits increase by $200, this is adding 200

x + 500+200 = x + 700.

The Job expenses decrease by $300.

Total = x + 700 + 300

Total = x + $1000

Therefore, the total employment compensation is increased by $1000.

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