Question:
A rectangle has a height of 2x^4 and a width of x^2+8x+15. Calculate its area.
Answer:
Step-by-step explanation:
Given
Required
Determine the area of the rectangle
This is calculated as:
x/9-7 is the answer to this problem
No. The 6 is over the 4. So no matter what else is in the fraction,
the 6 is divided by the 4. In other words, that part of the fraction ...
6/4 ... simplifies to 3/2 .
Settle down and let's look at that problem:
You said: 6 p⁴ / 4 p³
I hope you see that this ugly complicated fraction can be written as
the product of two separate fractions. It's exactly the same thing as
6/4 times p⁴/p³ .
Simplify the first one: 6/4 = 3/2
Simplify the second one: p⁴/p³ = p
And the original fraction becomes 6p⁴/4p³ = 3/2 p .
=====================================
Now, if you'll stay with me, I want to take you back to the original
problem, and do it a slightly different way:
Even though the original fraction has both numbers and a variable
in it, the question is actually something that you've done hundreds
of times before ... simplify the fraction !
How do you simplify a fraction ? (Review) Find a common factor of
the top and bottom, then divide top and bottom by the common factor.
OK. We have 6p⁴ and 4p³ .
The factors of 6p⁴ are: 1, 2, 3, 6, p, p², p³, and p⁴ .
The factors of 4p³ are: 1, 2, 4, p, p², and p³ .
What do we have for common factors ? I see ' 2 ' and ' p³ ' .
Divide the top by 2p³ : 6p⁴ / 2p³ = 3p
Divide the bottom by 2p³ : 4p³ / 2p³ = 2
Now, after simplifying, the fraction is (3p/2) or (3/2 p) .
Answer:
72 cups=4.5 gallons
72 cups=18 quarts
72 cups=36 pints
Step-by-step explanation:
To find out how many pints are in 72 cups you have to divide the volume value by 2. To find out how many quarts are in 72 cups you have to divide the volume value by 4. To find out how many gallons are in 72 cups you have to divide the volume value by 16.
Hope this helped for you!
