Question

select the correct answer.
if \\(\frac{3}{4}\\) and \\(\frac{12}{x}\\) are equivalent, what is the value of \\(x\\)?
\\(\circ\\) a. \\(\\ 48\\)
\\(\circ\\) b. \\(\\ 36\\)
\\(\circ\\) c. \\(\\ 24\\)
\\(\circ\\) d. \\(\\ 16\\)

Explanation:

Step1: Set up equivalence equation

$\frac{3}{4} = \frac{12}{x}$

Step2: Cross-multiply to solve for $x$

$3x = 12 \times 4$

Step3: Calculate right-hand side

$3x = 48$

Step4: Isolate $x$

$x = \frac{48}{3}$

Answer:

D. 16