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3 years ago

What is 1/2(10x +20y +10z) using the distributive property? also as an equivalent expression?

Mathematics

1 answer:

valkas [14]3 years ago

8 0

Answer:

5x+10y+5z.

Step-by-step explanation:

The given expression is

$\dfrac{1}{2}(10x+20y+10z)$

We need to find the equivalent expression by using the distributive property.

By using the distributive property, the given expression can be written as

$\dfrac{1}{2}(10x+20y+10z)=\dfrac{1}{2}(10x)+\dfrac{1}{2}(20y)+\dfrac{1}{2}(10z)$

$=5x+10y+5z$

Therefore, the required expression is 5x+10y+5z.

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Ulleksa [173]

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Sever21 [200]

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3 years ago

How do you do this. Please give a full answer and explain why.

OverLord2011 [107]

Law of Exponent

$\displaystyle \large{ {a}^{ - n} = \frac{1}{ {a}^{n} } }$

Compare the terms.

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$\displaystyle \large{ {( - 2)}^{ - 3} = \frac{1}{ {( - 2)}^{ 3} } }$

Exponent Def. (For cubic)

$\displaystyle \large{ {a}^{3} = a \times a \times a }$

Factor (-2)^3 out.

$\displaystyle \large{ {( - 2)}^{ - 3} = \frac{1}{( - 2) \times ( - 2) \times ( - 2)}}$

(-2) • (-2) = 4 | Negative × Negative = Positive.

$\displaystyle \large{ {( - 2)}^{ - 3} = \frac{1}{4 \times ( - 2)}}$

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If either denominator or numerator is in negative, it is the best to write in the middle or between numerator and denominators.

Hence,

$\displaystyle \large \boxed{ {( - 2)}^{ - 3} = - \frac{1}{ 8}}$

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3 0

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3 years ago

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ivann1987 [24]

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The mean is -4.

5 0

3 years ago