Question

consider this formula.
$z = \frac{y}{x}$
if $z = 4.0$ and $y = 9.2$, what is the value of $x?$
express your answer to the tenths place (i.e., one digit after the decimal point).

Explanation:

Step1: Start with the given formula

We have the formula \( z = \frac{y}{x} \).

Step2: Solve the formula for \( x \)

Multiply both sides of the equation by \( x \) to get \( zx = y \). Then divide both sides by \( z \) (assuming \( z
eq 0 \)) to obtain \( x = \frac{y}{z} \).

Step3: Substitute the given values of \( y \) and \( z \)

We know that \( y = 9.2 \) and \( z = 4.0 \). Substituting these values into the formula for \( x \), we get \( x = \frac{9.2}{4.0} \).

Step4: Perform the division

Calculating \( \frac{9.2}{4.0} \), we have \( 9.2 \div 4.0 = 2.3 \).

Answer:

\( 2.3 \)