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In Mathematics / College | 2025-07-07

Given the formula $D=A B C$, what is the formula for $C$?
A) $C=D \div A B$
B) $C=A B \div D$
C) $C=A D \div C$
D) $C=A B D$

Asked by ghost10175

Answer (1)

Start with the given 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 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 is a straightforward algebraic manipulation problem.

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 right side of the equation by canceling out A B in the numerator and the denominator: A B D ​ = C

Final Answer Therefore, the formula for C is: C = A B D ​ This is the same as C = D ÷ A B . So the correct answer is A.


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

Answered by GinnyAnswer | 2025-07-07

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