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The Volume of PYRAMID A is 8 times greater than the Volume of PYRAMID B as obtained by taking the ratio of the volume of both pyramids.
Volume of a square based pyramid is given as :

Where; h = height ; a = base edge
Hence, Volume of PYRAMID A :

Volume of PYRAMID B = 3,136 in³
Divide Volume of pyramid B by pyramid A :

= 8 times
Expressing as a percentage, multiply by 100% ;
8 * 100% = 800%
Therefore, The volume of PYRAMID B is 800% times GREATER THAN that of PYRAMID A.
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Answer:
2 percent
Step-by-step explanation:
We can use two separate fractions, one representing the amount of physics majors expected and the amount of seniors expected in physics majors by the university.

Now cross multiply.

x will be removed.

Simplifying this fraction will get you
, which in percentage form, will be 2 percent.
Answer:
The capacity of the mug =
cups
Step-by-step explanation:
Given - A mug is 1/8 full. The mug contains 1/6 of a cup of water.
To find - Find the capacity of the mug. Write the answer as a fraction or mixed number
Proof -
Let the capacity of water = x
Given that,
A mug is
full of water
⇒Total cups of water in the mug = 
Now,
Given that, The mug contains
of a cup of water.
∴ we get
=
⇒x =
× 8
=
=
= 
⇒x = 
∴ we get
The capacity of the mug =
cups
First, change the two mixed numbers in the expression into an improper fraction: 25/6 + 5/3.
Then, find the Lowest Common Denominator of both fractions, which is 6, and set both denominators equal to that. Remember, whatever you do on one side you must do to the other: 25/6 + 10/6
Add the two together: 25/6 +10/6 = 35/6.
To make it a mixed number again, find how many times 6 goes into 35, which is 5 times, with a remainder of 5. Your answer is 5 5/6