Question

solve the following proportion for x.
\\(\frac{8}{11} = \frac{x}{5}\\)
round your answer to the nearest tenth.
\\(x = \square\\)

Explanation:

Step1: Cross - multiply the proportion

To solve the proportion \(\frac{8}{11}=\frac{x}{5}\), we use the cross - multiplication property. Cross - multiplying gives us \(11\times x = 8\times5\).

Step2: Simplify the equation

Simplify the right - hand side of the equation: \(11x=40\). Then, solve for \(x\) by dividing both sides of the equation by 11. So, \(x = \frac{40}{11}\approx3.6\) (rounded to the nearest tenth).

Answer:

\(x\approx3.6\)