Final answer:
To solve the proportion (7)/(5) = (6)/(u), perform cross-multiplication and solve for u. After dividing by 7, the value of u is approximately 4.3 when rounded to the nearest tenth.
Step-by-step explanation:
To solve the equation (7)/(5) = (6)/(u), you need to find the value of u that makes the equation true. This type of problem is known as a proportion, and you can solve it by cross-multiplication. Cross-multiplying the two fractions gives us 7u = 6 × 5. Simplifying this, we get 7u = 30. Dividing both sides by 7 gives us u = 30/7. Using a calculator, u would be approximately 4.285714286, but we are asked to round to the nearest tenth, which would be 4.3.