Solve for v . Simplify if needed. v−6/15=24/15 (1 point) Responses 18/0=undefined Start Fraction 18 over 0 End Fraction equals undefined 30/30 Start Fraction 30 over 30 End Fraction 30/15=2 Start Fraction 30 over 15 End Fraction equals 2 360/90=4

Answer 1

To solve for \( v \) in the equation

\[ \frac{v - 6}{15} = \frac{24}{15}, \]

first, you can eliminate the fractions by multiplying both sides of the equation by 15:

\[ v - 6 = 24. \]

Next, add 6 to both sides to solve for \( v \):

\[ v = 24 + 6, \]

\[ v = 30. \]

Now, let's analyze the provided responses:

1. 18/0 = undefined: This relates to dividing by zero, which is undefined, but is unrelated to our solution.
2. 30/30 = 1: This statement is true but does not represent our solution for \( v \).
3. 30/15 = 2: This is also true but does not indicate the solution for \( v \).
4. 360/90 = 4: Valid arithmetic, but again unrelated to our solution.

The correct solution we found is:

\[ v = 30. \]

So, the value of \( v \) is 30.