Final answer:
The solution to the equation 40b = 8 is found by dividing both sides by 40, resulting in b = 0.2. Checking the solution by plugging it back into the original equation confirms it is correct.
Step-by-step explanation:
To solve for b in the equation 40b = 8, we need to isolate b on one side of the equation. This is done by dividing both sides of the equation by 40, which is the coefficient of b. By doing this, we can simplify the equation:
40b / 40 = 8 / 40
b = 1/5 or b = 0.2
After simplifying, we find that b = 0.2. It's always good practice to check if the answer is reasonable by substituting it back into the original equation. When we do that here:
40(0.2) = 8 which simplifies to 8 = 8, confirming that the solution b = 0.2 is correct.