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tigry1 [53]
3 years ago
10

What expressions are equivalent to -2(4-3x)+(5x-2)​

Mathematics
1 answer:
liberstina [14]3 years ago
3 0

Answer:

11x-10

Step-by-step explanation:

1.Rearrange terms

-2(4-3x)+(5x-2)

-2(-3x+4)+(5x-2)

2.Distribute

-2(3x+4)+(5x-2)

6x-8+(5x-2)

3.Eleminate redundant parentheses

6x-8+(5x-2)

6x-8+5x-2

4.subtract the numbers

6x-8+5x-2

6x-10+5x

5.Combine like terms

6x-10+5x

11x-10

•solution

11x-10

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Step-by-step explanation:

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Which fraction out of 5/8 and 7/11 is closest to 2/3?
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Well... hell, let's just convert them all with the same denominator then

hmmm let's see, we have the denominators of 8,11 and 3

so... we'll multiply the 5/8 times (11*3) or 33
and then we'll multiply 7/11 times (8*3) or 24
and then we'll multiply 2/3 times (8 * 11)

notice, we're simply using the other's denominator's product, to multiply the fractions... anyhow... let's check

\bf \cfrac{5}{8}\cdot \cfrac{3\cdot 11}{3\cdot 11}\implies \cfrac{165}{264}
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\cfrac{7}{11}\cdot \cfrac{8\cdot 3}{8\cdot 3}\implies \cfrac{168}{264}
\\\\\\
\cfrac{2}{3}\cdot \cfrac{8\cdot 11}{8\cdot 11}\implies \cfrac{176}{264}\\\\
-------------------------------\\\\
\textit{now, which of }\cfrac{165}{264}\textit{ and }\cfrac{168}{264}\textit{ is closest to }\cfrac{176}{264}\quad ?
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Step-by-step explanation:

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Step-by-step explanation:

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