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topjm [15]
3 years ago
8

Solve for r in the formula S = L - rL.

Mathematics
2 answers:
strojnjashka [21]3 years ago
4 0
Subtract L from both sides
S - L = L - L -rL
S - L = -rL
divide both sides by L
S - L/L = -rL/L
-r = S - L/L
divide both sides by -1
r = -S + L/L
natali 33 [55]3 years ago
4 0

Answer:

The value of the formula is r=\frac{L-S}{L}.

Step-by-step explanation:

Consider the provided formula.

S = L - rL

We need to solve the provided formulafor r.

Subtract L from both side.  

S-L=L-L- rL

S-L=-rL

Divide both sides by -L.

\frac{S-L}{-L}=\frac{-rL}{-L}

r=\frac{-S+L}{L}

r=\frac{L-S}{L}

Hence, the value of the formula is r=\frac{L-S}{L}.

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Compare the graph of f (x) with the graph of k (x) = 2 (x-8)2
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Veronica and Chad are walking down the street. Veronica walks at a speed of 5 miles per hour, and Chad walks at a speed of 4 mil
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4 0
3 years ago
If it takes you 40 minutes to go 20 miles downstream and then 60 minutes on the way back, what is the speed of the current?
IrinaK [193]

Answer:

Speed of Current = 5 miles per hour

Step-by-step explanation:

We know distance formula,

D = RT

Where

D is distance

R is rate

T is time

If we let speed of boat (assume) to be "x" and speed of current to be "c"

Then downstream rate is (with current) = x + c

Upstream rate is (against current) = x - c

40 mins to go 20 miles downstream, that means:

D = RT

20 = (x + c)(40)

and

60 minutes to go upstream, 20 miles, that means:

D = RT

20 = (x - c)(60)

Simplifying first equation:

40x + 40c = 20

Simplifying second equation:

60x - 60c = 20

Multiplying first equation by 60, we get:

60 * [40x + 40c = 20] = 2400x + 2400c = 1200

Multiplying second equation by 40, we get:

40 * [60x - 60c = 20] = 2400x - 2400c = 800

Now we add up both these equations:

2400x + 2400c = 1200

2400x - 2400c = 800

----------------------------------

4800x = 2000

x = 2000/4800 = 5/12

We need speed of current, that is "c", so we plug in the value of x into first equation and solve for c:

40x + 40c = 20\\40(\frac{5}{12}) + 40c = 20\\\frac{50}{3}+40c=20\\40c=20-\frac{50}{3}\\40c=\frac{10}{3}\\c=\frac{1}{12}

Speed of Current = 1/12 miles per minute

Since there is 60 minutes in an hours, that would be:

(1/12) * 60 = 5 miles per hour

Speed of Current = 5 miles per hour

3 0
3 years ago
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