Question

Solve 0.5-6+4d-2d=-11 for d. d=-5 d=0.625 No solution Infinite solutions

a.d=-5
b.d=0.625
c.No solution
d.Infinite solutions

Answer 1

To solve the equation for d, combine like terms, isolate the d term, and then divide by the coefficient of d. The correct answer, d = -2.75, is not listed among the options provided. This means that the correct answer is not listed among the provided options of d = -5, d = 0.625, no solution, or infinite solutions. The correct solution is d = -2.75.

Step-by-step explanation:

To solve the equation 0.5 - 6 + 4d - 2d = -11 for d, you need to combine like terms and solve for the variable.

1. Combine like terms: Combine constant terms and combine 'd' terms. Thus, we have (-6 + 0.5) + (4d - 2d) = -11 which simplifies to -5.5 + 2d = -11.
2. Isolate the 'd' term: Add 5.5 to both sides to get 2d = -11 + 5.5, which simplifies to 2d = -5.5.
3. Divide by 2: To find 'd,' divide both sides by 2, yielding d = -5.5 / 2 which is d = -2.75.

This means that the correct answer is not listed among the provided options of d = -5, d = 0.625, no solution, or infinite solutions. The correct solution is d = -2.75.