Question

Solve the proportion for u: (5/8) = (v/9). Round your answer to the nearest tenth.

Answer 1

To solve the proportion (5/8) = (v/9) for u, cross-multiply the fractions, simplify, and substitute the value of v back into the original proportion. The solution is u ≈ 5.6.

Step-by-step explanation:

In order to solve the proportion (5/8) = (v/9) for u, we can cross-multiply the fractions and solve for u. Here are the steps:

1. Cross-multiply: 5 * 9 = 8 * v
2. Simplify: 45 = 8v
3. Solve for v: v = 45/8
4. Substitute v back into the original proportion: (5/8) = (45/8)/9
5. Simplify: (5/8) = 5/8

The proportion is already satisfied, which means that u = v = 45/8. Rounding to the nearest tenth, u ≈ 5.6.