Solve for k. {:[(3)/(k)=(4)/(5)],[k=◻]:}

Solve for k: Solve the first equation for k. We have the equation (3)/(k) = (4)/(5). To solve for k, we can cross-multiply to get rid of the fractions. 3 * 5 = 4 * kCross-multiply: Perform the multiplication on both sides. 15 = 4kPerform multiplication: Divide both sides by 4 to isolate k. k = 15 / 4Divide to isolate k: Simplify the fraction to find the value of k. k = 3.75 or k = 3 3/4Simplify fraction: Check if the value of k satisfies the second equation. The second equation is simply k = ◻, which means k should be equal to some number. Since we have found k = 3.75, this value should be placed in the square box.

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Grade 8

Write an equation word problem

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Q. Solve for

k

\begin{align*} \left(\frac{3}{k}\right)&=\left(\frac{4}{5}\right) \\ k&=\square \end{align*}

Solve for k: Solve the first equation for k. $\newline$ We have the equation $\frac{3}{k} = \frac{4}{5}$ . To solve for k, we can cross-multiply to get rid of the fractions. $\newline$ $3 \times 5 = 4 \times k$
Cross-multiply: Perform the multiplication on both sides. $\newline$ $15 = 4k$
Perform multiplication: Divide both sides by $4$ to isolate $k$ . $k = \frac{15}{4}$
Divide to isolate $k$ : Simplify the fraction to find the value of $k$ . $k = 3.75$ or $k = 3 \frac{3}{4}$
Simplify fraction: Check if the value of $k$ satisfies the second equation. $\newline$ The second equation is simply $k = \square$ , which means $k$ should be equal to some number. Since we have found $k = 3.75$ , this value should be placed in the square box.