Question

Solve for x: 3 over 5 equals the quantity x minus 1 end quantity over 8

Answer 1

Correct option:

29 over 5

Explanation:

Here we need to solve for x the following equation:

$\frac{3}{5}=\frac{x-1}{8}$

Multiply both sides by 40:

$Multiply \ both \ sides \ by \ 40: \\ \\ 40\times(\frac{3}{5})=40\times (\frac{x-1}{8}) \\ \\ 24=5(x-1) \\ \\ \\ Distributive \ property \ on \ the \ right \ side: \\ \\ 24=5x-5 \\ \\ \\ Add \ 5 \ to \ both \ sides: \\ \\ 24+5=5x \\ \\ 5x=29 \\ \\ \\ Divide \ both \ sides \ by \ 5: \\ \\ \boxed{x=\frac{29}{5}}$

Finally, the correct option is:

29 over 5

Learn more:

Constant of proportionality: brainly.com/question/10945121

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