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lianna [129]
2 years ago
7

Use the distributive property to write two different expressions equal to 96.

Mathematics
1 answer:
Andre45 [30]2 years ago
8 0

Answer:

96 = 3 * 32, and 32 = 16 + 16, so we can say:

96 = 3(16 + 16)

96 is also equal to 2 * 48, and 48 equals 36 + 12, so we can also say:

96 = 2(36 + 12)

If you want to go with the ridiculous, you have an infinite number of combinations you could do like that.  For example:

96 = 0.15(1423987123497 - 1423987122857)

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Simplify by combining like terms -17+2(6x-1)+5
earnstyle [38]

\huge\boxed{12x-14}

Start with the original expression.

-17+2(6x-1)+5

Use the Distributive Property — multiply 2 by both 6x and -1.

-17+12x-2+5

Combine the like terms — add up all the constants.

-14+12x

Reorder the terms.

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5 0
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If three times the larger of two numbers is four times the smaller and the difference between the numbers is 8, then the larger
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Answer:

Larger number = 32

Step-by-step explanation:

Smaller number = x

Larger number = y

y - x = 8    -----------(I)

3y = 4x  ---------------(II)

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Plug in x = 3y/4 in equation (I)

y - \frac{3}{4}y = 8\\\\\frac{4}{4}y - \frac{3}{4}y = 8\\\\\frac{1}{4}y = 8\\

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Plug in y = 32 in equation (II)

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x = \frac{3*32}{4}

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7 0
3 years ago
Ali performed the following dimensional analysis to convert a rate of 72 mph.
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Answer:

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Step-by-step explanation:

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a 36 inch board is to be cut into three pieces so that the piece is twice as long as the first piece and the third piece is 3 ti
ICE Princess25 [194]

Answer:

First piece = 6 inches

Second piece = 12 inches

Third piece = 18 inches

Step-by-step explanation:

Length of the first piece = x

Length of the second piece = 2x

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Total length is 36 inches:

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