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:
Total = 2,500 (1.021)^t
Step-by-step explanation:
There is no question but the formula for compound interest is
Total = amount (1 + rate)^time
Total = 2,500 (1.021)^t
Zach's score, Z, and Nathan's score, N, are related by the formula
2Z-11=N.
This is further explained below.
<h3>What
are algebraic expressions?</h3>
Generally, Assume Nathan has a score of N and Zach has a score of Z.
Zach's score is 11 points higher than Nathan's.
It implies,
N equals twice of Z minus 11.
We may format it as follows:
2Z - 11 = N
There are now four possible outcomes for these two brothers' scores:
Zach's score will be determined using algebraic formulas if Nathan's score is 81.
2Z - 11 = 81
2Z = 92
Z = 46
Zach's score will be 61 if Nathan receives a score of 111.
Zach's score will be 121 if Nathan's score is 231 or higher.
Zach's score will be 456 if Nathan's score is 901.
The formula 2Z - 11 = Z is a rule that connects Nathan's and Zach's scores.
Visit to learn more about algebraic expressions.
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1.) 376.2
2.) 37620
3.)376200.
3.) 3762000
hope that helped
