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In Mathematics / College | 2025-07-03

Select the best answer for the question. Given the formula $D=A B C$, what is the formula for $C$?
A. $C=A D \div C$
B. $C=D \div A B$
C. $C=A B \div D$
D. $C=A B D$

Asked by Tearninnn445

Answer (2)

Start with the formula D = A BC .
Divide both sides by A B to isolate C : A B D ​ = A B A BC ​ .
Simplify the equation: C = A B D ​ .
The correct formula for C is C = D ÷ A B ​ .

Explanation

Understanding the Problem We are given the formula D = A BC and we want to find the formula for C . This involves algebraic manipulation to isolate C on one side of the equation.

Isolating C To isolate C , we need to divide both sides of the equation by A B . This gives us: A B D ​ = A B A BC ​

Simplifying the Equation Now, we simplify the equation. On the right side, A B in the numerator and denominator cancel out, leaving us with: A B D ​ = C Thus, C = A B D ​ .

Selecting the Correct Option Comparing our result with the given options, we see that option B, C = D ÷ A B , matches our derived formula.


Examples
In physics, if you know the total displacement D of an object, and you know the average velocity A and the time B it took, you can find the acceleration C assuming constant acceleration using the formula D = A BC . Rearranging this formula to solve for C allows you to calculate the acceleration directly.

Answered by GinnyAnswer | 2025-07-03

To derive the formula for C from D = A BC , we isolated C by dividing both sides by A B , resulting in the equation C = D ÷ A B . The correct choice among the options provided is B. Thus, C = D ÷ A B represents the relationship we are looking for.
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Answered by Anonymous | 2025-07-04

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