Math

QuestionFind cc using the formula d=(rc)td=(r-c) t for d=26d=26, r=15r=15, and t=2t=2. c=c=

Studdy Solution

STEP 1

Assumptions1. The formula for the problem is d=(rc)td=(r-c) t . The given values are d=26d=26, r=15r=15, and t=t=
3. We are solving for cc

STEP 2

First, we need to isolate cc in the formula. We can do this by first dividing both sides of the equation by tt.
dt=rc\frac{d}{t} = r - c

STEP 3

Now, plug in the given values for dd and tt.
262=15c\frac{26}{2} =15 - c

STEP 4

Calculate the left side of the equation.
13=15c13 =15 - c

STEP 5

To isolate cc, we can subtract rr from both sides of the equation.
1315=c13 -15 = - c

STEP 6

Calculate the right side of the equation.
2=c-2 = - c

STEP 7

Finally, to find cc, we can multiply both sides of the equation by 1-1.
c=2c =2So, c=2c =2.

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