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: find the third value when two values
The perimeter of ΔABC is 13 cm
Step-by-step explanation:
Answer:
4n + n + 6 + 4n + n + 6
10n + 12
he ought to have added the Ns
cc: He is supposed to add the coefficients of N
Answer:
Area of given figure = 96 unit²
Step-by-step explanation:
Given:
Length of shape = 4 unit
Width of shape = 4 unit
Height of shape = 4 unit
Find:
Area of given figure
Computation:
All side of figure all equal
So,
Given figure is a cube
Number of faces of cube = 6
Area of base = side x side
Area of base = 4 x 4
Area of base = 16 unit²
Area of given figure = Area of base x Number of faces of cube
Area of given figure = 16 x 6
Area of given figure = 96 unit²
Answer:
31 vacuums
Step-by-step explanation:
1800 = 250 + 50v
1800 - 250 = 50v
50v = 1550
v = 1550 / 50
v = 31
He sold 31 vacuums.