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2 years ago

Use the distributive property to express 18 + 24

Mathematics

1 answer:

sammy [17]2 years ago

4 0

Answer:

The answer is 6(3 + 4)

Step-by-step explanation:

In order to find this, we must find the greatest common factor of both numbers. Below are the factors for each number.

18: 1, 2, 3, 6, 9, 18

24: 1, 2, 3, 4, 6, 12, 24

You'll notice that the highest number on both lists is 6. So we divide each number by 6 and then express as a distribution.

6(3 + 4)

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a square painting has an area of 81x^2-90x-25. A second square painting has an area of 25x^2+30x+9. What is an expression that r

galina1969 [7]

Answer:

The answer in the procedure

Step-by-step explanation:

Let

A1 ------> the area of the first square painting

A2 ----> the area of the second square painting

D -----> the difference of the areas

we have

$A1=81x^{2}-90x-25$

$A2=25x^{2}+30x+9$

case 1) The area of the second square painting is greater than the area of the first square painting

The difference of the area of the paintings is equal to subtract the area of the first square painting from the area of the second square painting

D=A2-A1

$D=(25x^{2}+30x+9)-(81x^{2}-90x-25)$

$D=(-56x^{2}+120x+34)$

case 2) The area of the first square painting is greater than the area of the second square painting

The difference of the area of the paintings is equal to subtract the area of the second square painting from the area of the first square painting

D=A1-A2

$D=(81x^{2}-90x-25)-(25x^{2}+30x+9)$

$D=(56x^{2}-120x-34)$

4 0

2 years ago

A movie was 3 1/2 hours long. If Lily turned the movie off 1/4 of the way through, how much time did she spend watching it?

elixir [45]

330 minutes watched

330 ÷ 4 = 82.5 mins

1 hour 22minuites and 30 seconds spent watching

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2 years ago

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Jay stores hay in cubic stacks on his farm. If the length of each stack is 2/3 yards, what is the volume of hay in each stack? 1

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$\left( \dfrac{2}{3}\,yd\right)^{3}=\dfrac{8}{27}\,yd^{3}$

The 4th selection is appropriate.

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2 years ago

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Nina was curious about the height of the Eiffel Tower. She used a 1.2 meter model of the tower and measured its shadow at 2 P.M.

expeople1 [14]

320 Meters.
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2 years ago

Sylvia wants to mix 100 pounds of Breakfast Blend coffee that will send for $25 per pound. She is using two types of coffee to c

Rainbow [258]

Answer: Sylvia should use 35 pounds of Kona coffee and 65 pounds of Columbian coffee

Step-by-step explanation:

Let x represent the number of pounds of Kona coffee that Sylvia should use.

Let y represent the number of pounds of Columbian coffee that Sylvia should use.

Sylvia wants to mix 100 pounds of Breakfast Blend coffee. This means that

x + y = 100

She is using two types of coffee to create the mixture. Kona coffee sells for $51 per pound and Columbian coffee sells for $11 per pound and the mixture would sell for $25 per pound.

This means that

51x + 11y = 2500 - - - - - - - - 1

Substituting x = 100 - y into equation 1, it becomes

51(100 - y) + 11y = 2500

5100 - 51y + 11y = 2500

- 51y + 11y = 2500 - 5100

- 40y = - 2600

y = - 2600/-40

y = 65

x = 100 - y

x = 100 - 65 = 35

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2 years ago