So,
I like to simplify a fraction first. This is what I do when I'm in a store trying to find the unit price.

Factor.

Cross out ones.

Multiply it out.

In my head, I remember that one-eighth is equal to 0.125.
So seven-eighths is equal to 0.125 times 7.
0.125 * 7 = 0.875
Convert to percent form.
0.875 --> 87.5%
James answered 87.5% of his quiz correctly.
I actually have the decimal equivalents for eighths in my head when I'm shopping. So once I get seven-eighths, I immediately know how much that is. I can also subtract 0.125 from 1.000 to get seven-eighths.
The graph represents p(x) = |x|
To graph r(x) and q(x), pick any values of x to graph (I'd pick the numbers on the x- scales, -6, -4, -2, 0, 2, 4, and 6)
As for explaining them, I'm sure something like "multiply the absolute value of x by -1/2" for describing q(x) is an acceptable answer.
Answer:
Finding the missing number is fairly simple and can be done in a few short steps. I will show you using the 21 / __ fraction.
First, divide the included number by its corresponding number in the original fraction.
21 ÷ 3 = 7
To find what the denominator of this would be, multiply 4 by 7.
4 * 7 = 28
The fraction would be 21 / 28.
This works with both numerators and denominators. If you need more of the answers just ask in the comments.
Answer:
x=2
Step-by-step explanation:
2.1(2.3 + 2.1x) = 11.65 + x
Distribute
4.83+4.41x=11.65+x
bring 4.83 over (-)
4.41x=6.82+x
bring x over
4.41x-1(x)=6.82
4.41-1=3.41 so
3.41x=6.82
divide 3.41
x=2