Question

Solve 0.5(-6 + 4d) - 2d = -11 for d.

1) d = -5
2) d = 0.625
3) no solution
4) infinite solutions

Answer 1

To solve the equation 0.5(-6 + 4d) - 2d = -11 for d, there is no solution.

Step-by-step explanation:

To solve the equation 0.5(-6 + 4d) - 2d = -11 for d, we need to use the distributive property and combine like terms.

1. Multiply 0.5 with -6 and 4d to get -3 + 2d.
2. Subtract 2d from -3 + 2d to get -3.
3. Now we have -3 = -11, which is not true. Therefore, there is no solution for d.

Hence, the correct answer is option 3) no solution.