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Keith_Richards [23]
3 years ago
5

I need help for question 19 !!!!! I also need to explain my answer.. PLEASEEEEEE

Mathematics
1 answer:
Gala2k [10]3 years ago
8 0

The value of m is 3.

Solution:

Given equation:

6 + 5(m + 1) = 26

<u>To solve the equation:</u>

6 + 5(m + 1) = 26

Multiply 5 into each term inside the bracket.

6 + 5m + 5 = 26

5m + 11 = 26

Subtract 11 on both sides, we get

5m = 15

Divide by 5 on both sides, we get

m = 3

The value of m is 3.

Checking:

6 + 5(m + 1) = 6 + 5(3 + 1)

                    = 6 + 5(4)

                    = 6 + 20

                    = 26

6 + 5(m + 1) = 26.

Hence the solution is correct.

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When 200 gallons of oil were removed from a tank, the volume of oil left in the tank was 3/7 of the tank's capacity. what was th
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Answer:

Step-by-step explanation:

"When 200 gallons of oil were removed from a tank" algebraically looks like this:

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"...the volume of oil left in the tank was 3/7 of the tank's capacity" algebraically looks like this:

3/7(V)

Therefore, the equation is

V - 200 = 3/7(V)

Begin by multiplying both sides by 7:

7(V - 200) = 3V and

7V - 1400 = 3V so

-1400 = -4V so

V = 350 gallons

That's if the volume of the oil in the tank was 3/7 of the tank's capacity.

For the other part of the problem, we set up the equation almost the same, except the 3/7 is a 1/2:

V - 200 = 1/2(V)

Multiplying both sides by 2 gives you

2(V - 200) = V and

2V - 400 = V so

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3 years ago
Roy Gross is considering an investment that pays 7.6 percent, compounded annually. How much will he have to invest today so that
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Step-by-step explanation:

Let $P represent the initial amount that should be invested today. It means that principal,

P = $P

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The rate at which the principal would be compounded is 7.6%. So

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The duration of the investment would be 6 years. So

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The formula for compound interest is

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A = 25000

Therefore

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25000 = 1.55P

P = 25000/1.55

P = $16129

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