Kelly watches 3/5 of a movie in 5/8 of an hour. How much time wil it take her to watch the entire movie?

Mathematics

1 answer:

iVinArrow [24]2 years ago

4 0

well, putting the movie in fifths, she watched 3/5, the whole movie will be 5/5 = 1.

$\begin{array}{ccll} \stackrel{movie}{fraction}&hour\\ \cline{1-2} \frac{3}{5}&\frac{5}{8}\\[1em] \underset{whole}{1}&x \end{array}\implies \cfrac{~~ \frac{3}{5}~~}{1}=\cfrac{~~ \frac{5}{8}~~}{x}\implies \cfrac{3}{5}x=\cfrac{5}{8}\implies \cfrac{3x}{5}=\cfrac{5}{8} \\\\\\ 24x=25\implies x = \cfrac{25}{24}\implies x = 1\frac{1}{24}\qquad \textit{1 hour, 2 minutes and 30 seconds}$

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The solution of the equation is x = 2

Step-by-step explanation:

The original equation is

$5x-10 = 0$

We solve it using the following steps:

1) We apply the addition property of equality: by adding the same factor on both sides of the equation, the equation does not change.

In this case, we add +10 on both sides, and we get:

$5x-10+10=0+10\\5x=10$

2) We apply the division property of equality: by dividing both sides of the equation by the same number (different from zero), the equation does not change.

In this case, we divide both sides of the equation by 5, and we get:

$\frac{5x}{5}=\frac{10}{5}\\x=2$