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Masja [62]
3 years ago
11

Solve the formula for the indicated variable- S = L(1-r), for r

Mathematics
1 answer:
Mila [183]3 years ago
3 0

Answer:

r=-\frac{S}{L} +1

Step-by-step explanation:

You would want to isolate the r by itself by doing all the opposite operations.

First, you can divide the L to get

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

Next, move the 1 to the other side to get

-r=\frac{S}{L} -1

Then, we would not want to keep the negative so, move it to the other side to get

r= -\frac{S}{L} +1

(Note the 1 changed to a positive because we move the negative to the other side so, negative or negative 1 will be positive.

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Christian's car used 15 gallons to travel 270 miles. How far can he travel on 11 gallons?
kumpel [21]

Answer:

198

Step-by-step explanation:

270/15 gives us 18, his miles per gallon. multiply that by 11, and you get 198.

5 0
3 years ago
What is the solution set to this equation?<br> log_4(x + 3) + log_4x = 1
sesenic [268]

Answer:

x=1

Step-by-step explanation:

log_4(x + 3) + log_4x = 1

We know that loga(b) + loga(c) = loga(bc)

log_4(x + 3)x = 1

Raise each side to the base of 4

4^log_4(x + 3)x = 4^1

(x+3)x = 4

x^2 +3x = 4

Subtract 4 from each side

x^2 +3x -4 = 0

Factor

(x+4) (x-1) =0

Using the zero product property

x= -4  x=1

But x cannot be negative since logs cannot be negative

x=1

6 0
3 years ago
Read 2 more answers
Our own number system, 0-9, is based on the ______ system.
r-ruslan [8.4K]
It is the arabic system of numbers. The Roman was the one with Xes and Vs and Is and many other types of markings. Arabs used the 1-9 system, while 0 was taken from the hindu system as it indicates an empty space, so we got the 0-9 system that is commonly used now.
4 0
3 years ago
The number of volunteers to walk dogs at the local animal shelter last year was 20 this year the number of volunteers has risen
Alex73 [517]

There is 150% increase in the number of volunteers.

Step-by-step explanation:

Given,

Old number of volunteers = 20

New number of volunteers = 50

Change = New value - Old value

Change = 50 - 20 = +30

The positive sign indicates the increase.

Percent increase = \frac{Change}{Old\ value}*100\\

Percent\ increase=\frac{30}{20}*100\\\\Percent\ increase=\frac{3000}{20}\\\\Percent\ increase=150\%

There is 150% increase in the number of volunteers.

Keywords: percentage, subtraction

Learn more about percentages at:

  • brainly.com/question/10940255
  • brainly.com/question/10941043

#LearnwithBrainly

3 0
4 years ago
20 Points!<br> Is this a perfect trinomial? If not, explain why. If so, factor.<br> x^2-3x+9
strojnjashka [21]

Answer:yes it is a perfect trinomial

Step-by-step explanation:

3 0
3 years ago
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