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Alex_Xolod [135]
3 years ago
15

Which of the following illustrates the Distributive Property of Multiplication over addition?

Mathematics
1 answer:
Neporo4naja [7]3 years ago
4 0

Answer:

<em>x(y+z)=(x×y)+(x×z) shows the distributive property of multiplication over addition.</em>

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Please explain how to do this, I'm using all my points<br><br>A. 40 L<br>B. 80 L<br>C. 4 L <br>D. 8L
exis [7]

Answer: choice A. 40 liters

====================================

Explanation:

x = number of liters of the 50% alcohol solution

If we have x liters of 50% alcohol, then we have 0.50*x liters of pure alcohol. This is added to 0.90*40 = 36 liters of pure alcohol (from the 90% solution).

So far we have 0.50*x + 36. This expression represents the total amount of pure alcohol. We want a 70% solution, so we want 70% of the total 40+x meaning 0.50*x + 36 is to be set equal to 0.70*(40+x) and we solve for x as shown below

0.50*x + 36 = 0.70*(40+x)

0.50*x + 36 = 0.70*(40)+0.70*(x)

0.50*x + 36 = 28+0.70*x

36 - 28 = 0.70*x - 0.50x

8 = 0.20x

0.20x = 8

x = 8/0.20

x = 40

So that is why the answer is choice A. 40 liters

6 0
3 years ago
What is th GCF of 21 and 18
ZanzabumX [31]

Answer:

The answer is 3.

Explanation:

Factors of 18:

1, 2, 3, 6, 9, 18.

Factors of 21:

1, 3, 7.

The highest number that both sets contain is 3, so the GCF will be 3.


5 0
3 years ago
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mckenna had $32 when she got to the carnival . after riding 6 rides , she had $20 left . write an eqaution and solve to find the
Aneli [31]

Answer:

$2 per ride

Step-by-step explanation:

$32-$20=$12

McKenna rode 6 rides so $12 divided by 6 rides is $2 for every ride

8 0
3 years ago
Twice a number is equal to negative four. Which equation could be used to find the number? 2n = 4 2n = -4n 2n - 4 2n = -4
Pepsi [2]
<span>Twice a number is equal to negative four :
2n = -4

answer
</span><span>2n = -4
last one is your answer</span>
4 0
3 years ago
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What is 7/20 in decimals
FromTheMoon [43]

Answer:

0.35 :)

Step-by-step explanation:

6 0
4 years ago
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