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Licemer1 [7]
3 years ago
5

Solve for x: 2 over 5 (x − 4) = 2x. −8 negative 1 over 2 1 −1

Mathematics
1 answer:
vlabodo [156]3 years ago
5 0
2/5(x - 4) = 2x
2/5x - 8/5 = 2x....multiply everything by 5
2x - 8 = 10x
-8 = 10x - 2x
-8 = 8x
-8/8 = x
-1 = x <===
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Find −5 5/6÷(−4 9/10). Write your answer as a mixed number in simplest form.
uranmaximum [27]

Answer: 1\dfrac{4}{21} .

Step-by-step explanation:

Given problem : \left(-5\dfrac{5}{6}\right)\div\left(-4\dfrac{9}{10}\right)

First we convert mixed fraction into improper fractions as

-5\dfrac{5}{6}=-\dfrac{5\times6+5}{6}=-\dfrac{30+5}{6}=-\dfrac{35}{6}\\-4\dfrac{9}{10}=-\dfrac{10\times4+9}{10}=-\dfrac{40+9}{10}=-\dfrac{49}{10}

Now , plug these values in the given expression , we get

\left(-5\dfrac{5}{6}\right)\div\left(-4\dfrac{9}{10}\right)=-\dfrac{35}{6}\div\left(-\dfrac{49}{10}\right)\\\\=\dfrac{-35}{6}\times\dfrac{-10}{49}\ \ \ [\text{By Property of fraction}]\\\\=\dfrac{350}{294}\\\\=\dfrac{25}{21}=1\dfrac{4}{21}

Hence, the answer is 1\dfrac{4}{21} .

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Korolek [52]


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