Math  /  Algebra

QuestionSolve the following proportion for UU. u8=53\frac{u}{8}=\frac{5}{3}
Round your answer to the nearest tenth. u=u= \square

Studdy Solution

STEP 1

1. The problem involves solving a proportion, a type of equation where two ratios are equal.
2. The variable to be solved for is uu.
3. Basic algebraic manipulation is required to isolate uu.
4. The final answer should be rounded to the nearest tenth.

STEP 2

1. Set up the equation by cross-multiplying to eliminate the fractions.
2. Solve for uu by isolating the variable.
3. Simplify the result and round to the nearest tenth.

STEP 3

Set up the equation by cross-multiplying to eliminate the fractions. u8=53 \frac{u}{8} = \frac{5}{3} Cross-multiplying yields: u3=58 u \cdot 3 = 5 \cdot 8 3u=40 3u = 40

STEP 4

Solve for uu by isolating the variable. 3u=40 3u = 40 Divide both sides by 3 to isolate uu: u=403 u = \frac{40}{3}

STEP 5

Simplify the result and round to the nearest tenth. u=40313.3333 u = \frac{40}{3} \approx 13.3333 Rounding to the nearest tenth, we get: u13.3 u \approx 13.3
Solution: u13.3 u \approx 13.3

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