Question

the product of $-\frac{3}{4}$ and a number $x$ is $-27$.

Explanation:

Step1: Translate to equation

The product of $-\frac{3}{4}$ and \( x \) is \( -27 \), so the equation is \( -\frac{3}{4}x = -27 \).

Step2: Solve for \( x \)

Multiply both sides by \( -\frac{4}{3} \) (the reciprocal of \( -\frac{3}{4} \)): \( x = -27 \times (-\frac{4}{3}) \).
Simplify: \( -27 \div 3 = -9 \), \( -9 \times (-4) = 36 \), so \( x = 36 \).

Answer:

\( x = 36 \)