Answer:
d. 2
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
45a−25+7a=79
45a+−25+7a=79
(45a+7a)+(−25)=79(Combine Like Terms)
52a+−25=79
52a−25=79
Step 2: Add 25 to both sides.
52a−25+25=79+25
52a=104
Step 3: Divide both sides by 52.
52a
52
=
104
52
a=2
Like terms are any terms that have the same variable value.
In the sequence 8a, b^2, b^3, 4b^2, 4, and 5a, the like terms are the ones that have the same variable to the same power.
8a and 5a are like terms, as well as b^2 and 4b^2, because both sets of terms have the same variable.
Hope that helped =)
Answer:
$54.75
Step-by-step explanation:
9.5% as a decimal is 0.095.
0.095 times (or of) 50 is 4.75.
50 + 4.75 = 54.75.
a. Factorize the denominator:
Then we're looking for 
such that
If 
, then 
; if 
, then 
. So we have
as required.
b. Same setup as in (a):
We want to find 
such that
Quick aside: for the second term, since the denominator has degree 2, we should be looking for another constant 
such that the numerator of the second term is 
. We always want the polynomial in the numerator to have degree 1 less than the degree of the denominator. But we would end up determining 
anyway.
If 
, then 
; if 
, then 
. Expanding everything on the right then gives
which tells us 
and 
; in both cases, we get 
. Then
as required.
Answer:
Yes
12 * (12 * 18) = b will give the total number of brownies to be made
Step-by-step explanation:
Here, we want to select which of the equations will give the number of brownies to be made
The total number of brownies is b
For each pan, we have 18 rows , with 12 per row
So the total number of brownies per pan is 12 * 18
Since they are making 12, the total number of brownies b will be;
12 * (12 * 18) = b
