Question

Solve the equation or formula for the indicated variable.

Equation
(1 point)
Responses

w equals a over 21 cubed
Image with alt text: w equals a over 21 cubed

w equals a over 21
Image with alt text: w equals a over 21

w equals one cubed over 2a
Image with alt text: w equals one cubed over 2a

w equals a over three minus two
Image with alt text: w equals a over three minus two

Answer 1

To solve each equation for the indicated variable, follow these steps:

1. Equation: w = (a/21)^3
- To isolate "a", raise both sides of the equation to the power of 1/3.
- The result is: (w)^(1/3) = a/21.
- To isolate "a", multiply both sides of the equation by 21.
- The final solution is: a = 21(w)^(1/3).

2. Equation: w = a/21
- To isolate "a", multiply both sides of the equation by 21.
- The solution is: a = 21w.

3. Equation: w = (1^3)/(2a)
- To isolate "a", divide both sides of the equation by 1/2 and raise both sides to the power of -1.
- The result is: (2a)/1 = 1/(w^3).
- Simplify the left side of the equation to: 2a = 1/(w^3).
- To isolate "a", divide both sides of the equation by 2.
- The final solution is: a = 1/(2w^3).

4. Equation: w = a/3 - 2
- To isolate "a", add 2 to both sides of the equation.
- The equation becomes: w + 2 = a/3.
- To isolate "a", multiply both sides of the equation by 3.
- The final solution is: a = 3(w + 2).