i am having so much trouble rearranging these equations! i know the answers to them but i don't understand how to get them..
The original equation is W= Q(B-C)/C
what is B?
what is Q?
What is C?
B is supposed to be C(W+Q)/Q
Q is supposed to be WC/(B-C)
and C is supposed to be QB/W+Q
pleaseee help!
I will do one.
c)
W=QB/C - Q
W+Q=QB/C
C=QB/(W+Q)
I'd be happy to help you understand how to rearrange these equations! Let's take them one by one:
1. What is B?
To find the value of B, we need to isolate B in the original equation: W = Q(B - C) / C.
Here's how we can rearrange it step by step:
Step 1: Multiply both sides of the equation by C to eliminate the fraction:
WC = Q(B - C)
Step 2: Distribute Q to remove the parentheses:
WC = QB - QC
Step 3: Move QC to the other side of the equation by adding it to both sides:
WC + QC = QB
Step 4: Factor out B from the right side:
WC + QC = BQ
Step 5: Reorder the terms:
BQ = WC + QC
Step 6: Divide both sides of the equation by Q to isolate B:
B = (WC + QC) / Q
Therefore, the value of B is given by B = (WC + QC) / Q.
2. What is Q?
To determine the value of Q, we need to rearrange the original equation: W = Q(B - C) / C.
Step 1: Multiply both sides of the equation by C to eliminate the fraction:
WC = Q(B - C)
Step 2: Expand Q(B - C) on the right side of the equation:
WC = QB - QC
Step 3: Move QB to the left side of the equation by subtracting it from both sides:
WC - QB = -QC
Step 4: Multiply both sides of the equation by -1 to solve for Q:
QB - WC = QC
Step 5: Divide both sides of the equation by (B - C) to isolate Q:
Q = (WC - QB) / (B - C)
Therefore, the value of Q is given by Q = (WC - QB) / (B - C).
3. What is C?
To find the value of C, we will rearrange the original equation: W = Q(B - C) / C.
Step 1: Multiply both sides of the equation by C to eliminate the fraction:
WC = Q(B - C)
Step 2: Expand Q(B - C) on the right side of the equation:
WC = QB - QC
Step 3: Move QB to the right side of the equation by subtracting it from both sides:
WC - QB = -QC
Step 4: Multiply both sides of the equation by -1 to solve for QC:
QB - WC = QC
Step 5: Divide both sides of the equation by Q to isolate C:
C = (QB - WC) / Q
Therefore, the value of C is given by C = (QB - WC) / Q.
I hope this breakdown helps you understand the process of rearranging equations! Let me know if you have any further questions.