We are given ratio 456:8.
The given ratio can be written in fraction form as 
In order to find the rate, we need to divide 456 by 8, because it would give the unit value.
When we divide 456 by 8, we first take multiple of 8 closer to the number 45.
8*6=48 but it's greater than 45, so we would take 8*5 =40.
Subtracting 40 from 45, we get 5.
Getting 6 down, we get 56. Take multiple of 8 upto 56.
8*7= 56.
56 -56=0.
So, on dividing 456 by 8 we got 57.
Therefore, rate is 57 per unit.
Answer:
There is a mistake in Step 2. Maya distributed 3(x-10) as 3x+30, which is false. The correct step is: 6x+12 = 3x-30
Then solve for x
The answer is B. Maya made a mistake between Step 1 and Step 2 because she did not correctly distribute 3 to (x-10).
2x + 4(-6x + 12) = -84
2x - 24x + 48 = -84
-22x + 48 = -84
-22x = -84 - 48
-22x = -132
x = -132/-22
x = 6
hope this helps, God bless!
So this means W(-3x) = 3x. So it's equal to 3(-3x), which simplifies to be -9x. Whenever you have a function, it looks like f(x). f doesn't have to be the letter, it can be a, b, c, or like in this case, W. It just means the output of what W(x) is if x equals the number in the parentheses, which is -3x in this case.
Answer:
The 99% confidence interval for the mean number of hours of part-time work per week for all college students is between 25.8 and 30.2.
Step-by-step explanation:
A confidence interval has the following format.

In which
is the mean of the sample and M is the margin of error.
In this problem, we have that:



The 99% confidence interval for the mean number of hours of part-time work per week for all college students is between 25.8 and 30.2.