Question

solve the following proportion for u.
\\(\frac{17}{11} = \frac{10}{u}\\)
round your answer to the nearest tenth.
your answer
\\(u = \square\\)

Explanation:

Step1: Cross - multiply the proportion

Given the proportion \(\frac{17}{11}=\frac{10}{u}\), cross - multiplying gives us \(17\times u = 10\times11\).

Step2: Solve for \(u\)

We have the equation \(17u = 110\). To solve for \(u\), we divide both sides of the equation by 17: \(u=\frac{110}{17}\approx6.470588\).

Step3: Round to the nearest tenth

Rounding \(6.470588\) to the nearest tenth, we look at the hundredth place. The digit in the hundredth place is 7, which is greater than 5. So we round up the tenths place. \(6.470588\approx6.5\).

Answer:

\(u = 6.5\)