Question

solve for the value of z: $\frac{14}{5} = \frac{z}{25}$

Explanation:

Step1: Cross - multiply

To solve for \( z \) in the equation \(\frac{14}{5}=\frac{z}{25}\), we use cross - multiplication. Cross - multiplying gives us \( 5\times z=14\times25 \).

Step2: Calculate the right - hand side

First, calculate \( 14\times25 \). We know that \( 14\times25 = 350 \), so the equation becomes \( 5z = 350 \).

Step3: Solve for \( z \)

To find the value of \( z \), we divide both sides of the equation \( 5z = 350 \) by 5. So, \( z=\frac{350}{5} \).

Step4: Simplify the fraction

Simplifying \(\frac{350}{5}\), we get \( z = 70 \).

Answer:

\( z = 70 \)