Mathematics: Is 1/8 -10(3/4-3/8x) + 5/8x equivalent to -1/8(59 -35X)

1 pound = 100 pence3 pounds = 300 pence35 pence = 0.35 poundsSo 300/35 = 8 yogurts (with left 35*8 = 280300-280 = 20 pence)...

Is 1/8 -10(3/4-3/8x) + 5/8x equivalent to -1/8(59 - id181034385818595151623, breniljakenotro

joshuafuller763

18.01.2022

Yes, The expression $\frac{1}{8} -10(\frac{3}{4}-\frac{3}{8}x)+\frac{5}{8} x$ is equivalent to $-\frac{1}{8} (59-35x)$

Explanation:

The given expression is $\frac{1}{8} -10(\frac{3}{4}-\frac{3}{8}x)+\frac{5}{8} x$

Solving, we get,

$\frac{1}{8} -\frac{30}{4}+\frac{30}{8}x+\frac{5}{8} x$

Adding the similar terms, we have,

$(\frac{1}{8} -\frac{30}{4})+(\frac{30}{8}x+\frac{5}{8} x)\\$

$\frac{1-60}{8} +\frac{35}{8}x$

Adding, we get,

$-\frac{59}{8} +\frac{35}{8}x$

Taking out the common term $-\frac{1}{8}$ , we have,

$-\frac{1}{8} (59-35x)$

Thus, the expression $\frac{1}{8} -10(\frac{3}{4}-\frac{3}{8}x)+\frac{5}{8} x$ is equivalent to $-\frac{1}{8} (59-35x)$

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