Final answer:
To solve the equation 6.5/v = 3/11.7, cross-multiply and isolate the variable v to find v ≈ 0.4725714285714286.
Step-by-step explanation:
To solve the equation 6.5/v = 3/11.7, we can cross-multiply. Multiply 6.5 by 11.7 and multiply v by 3. This gives us (6.5 x 11.7) / (v x 3) = 1.655 / v = 3.5. To isolate the variable v, we can then multiply both sides of the equation by v, giving us v x (1.655 / v) = v x 3.5. The v cancels out on the left side, leaving us with 1.655 = 3.5v. To solve for v, divide both sides of the equation by 3.5. This gives us v = 1.655 / 3.5, which simplifies to v ≈ 0.4725714285714286.