Final answer:
By manipulating the equation (v/4)+6=16, we find that v must equal 40 to be a solution. Any other value for v will not satisfy the equation.
Step-by-step explanation:
To determine whether a given value of v is a solution to the equation (v)/(4)+6=16, we must manipulate the equation to solve for v. Starting with the original equation:
- Subtract 6 from both sides of the equation: v/4 = 16 - 6
- Calculate the right side: v/4 = 10
- Multiply both sides by 4 to solve for v: v = 10 * 4
- Therefore, v = 40
As such, v must equal 40 to satisfy the equation. Any other value for v will not satisfy the equation.