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gtnhenbr [62]
3 years ago
8

Find the propertyof real numbers illustrated by the equation -4(x+4)=-4x-16

Mathematics
1 answer:
asambeis [7]3 years ago
6 0

Answer:

distributive property of multiplication over addition

Step-by-step explanation:

The distributive property of multiplication over addition:

a(b + c) = ab + ac

You have

-4(x + 4) = -4x - 16

which is an application of that property.

Answer: distributive property of multiplication over addition

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The rectangle below has an area of 70y⁸ 30y⁶. The width of the rectangle is equal to the greatest common monomial factor of 70y⁸
Lorico [155]

Answer:

The Width of the Rectangle =10y^6

\text{Length of the Rectangle}=210y^8

Step-by-step explanation:

The area of the rectangle =70y^8 30y^6.

We are told that the width of the rectangle is equal to the greatest common monomial factor of 70y^8 \: and\: 30y^6.

Let us determine the greatest common monomial factor of 70y^8 \: and\: 30y^6.

Express each term as a product to pick out the common factors:

70y^8 =7X10Xy^6Xy^2\\30y^6=3X10Xy^6

In the two terms, the common terms are 10 and y^6. Therefore their greatest monomial factor =10y^6

The Width of the Rectangle =10y^6

Recall: Area of a Rectangle =Length X Width

70y^8 30y^6=Length X 10y^6\\Length =70y^8 30y^6 \div 10y^6 \\=\dfrac{70X30Xy^8Xy^6}{10y^6} =210y^8\\\text{Length of the Rectangle}=210y^8

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3 years ago
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You buy milk that contains 180 calories per 2 cups. Use a ratio table to find the number of calories in 5.5 cups.
Ludmilka [50]

Answer:

The number of calories in 5.5 cups are <u>495</u>.

Step-by-step explanation:

Given:

You buy milk that contains 180 calories per 2 cups.

Now, to find the number of calories in 5.5 cups.

Let the number of calories in 5.5 cups be x.

As, in 2 cups there are 180 calories.

2 cups is equivalent to 180 calories.

Thus, the ratio would be 2:180.

So, in 5.5 cups there are x calories.

5.5 cups is equivalent to x calories.

Thus, the ratio would be 5.5:x.

Now, we set proportion to get the number of calories in 5.5 cups:

2:180::5.5:x

\frac{2}{180} =\frac{5.5}{x}

<em>By cross multiplying we get:</em>

2x=990

<em>Dividing both sides by 2 we get:</em>

x=495.

Therefore, the number of calories in 5.5 cups are 495.

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3 years ago
Is 'Do you play video games a lot?' a good question? Explain why or why not.
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