Hello there! How are you today?
The answer choices appear to be indicating that we must apply the distributive property to find our simplified expression. To apply the distributive property, we must multiply the number outside of the parenthesis by all numbers inside of the parenthesis.
For example;
2(1 + 3)
Multiply 2 by all numbers inside of the parenthesis separately.
2(1) + 2(3)
2 + 6
8.
Now that we've explained and (hopefully) understand the concept of our problem, let's prepare to solve.
We have the following expression and answer choices:
96 + 36
A.) 4(24 + 9)
B.) 6(16 + 6)
C.) 12(8 + 3)
D.) 18(5 + 2)
Before we proceed to solve for this, let's evaluate our question carefully.
"Tonya uses the greatest common factor and the distributive property to rewrite this sum: 96 + 36"
Now, let's list the factors out from each number.
96;
1 x 96
2 x 48
3 x 32
4 x 24
6 x 16
8 x 12
36;
1 x 36
2 x 18
3 x 12
4 x 9
6 x 6
Now that we've listed our factors, let's take a look and see which answer choices contain our factors and which don't.
A, B, and C all list factors that are shown above. However, D doesn't as it has "5", which we do not have any numbers that end in 5 or 0, so we can remove answer choice "D" off of our list.
We are now remaining with answer choices A, B, and C.
Since the question requests that we use the greatest common factor, let's take a look into our factors and see which one is the greatest.
The greatest common factor is "12", so we should look for the answer choice that best matches 12.
Answer choice "C" is the only answer choice that contains our greatest common factor, 12.
Your answer is "C.)"
I hope this helps!
Answer:
21 cents
Step-by-step explanation:
16.5 degrees below the starting temp, whatever that is. If its 0, then -16.5 degrees.
The first equation would be (.5)5-11=-8.5, because the metal has been cooling for 5 hours.
The device that 'aids' in the cooling would be -5-3=-8, because it is a separate variable that cools the metal, so the amount the device cools is independent of the natural cooling amount, and the equation is independent of the natural cooling equation.
You then add -8.5 and -8, because the device has lowered 8.5 degrees and 8 degrees. This equals -16.5 degrees, or a decrease of 16.5 degrees.
Answer:
D, 30%
Step-by-step explanation:
you move the decimal point twice to the right
