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saul85 [17]
3 years ago
6

Number 13 I don’t get it

Mathematics
1 answer:
Nina [5.8K]3 years ago
5 0
<h3>Answer:  1/2  (choice A)</h3>

===========================================

Explanation:

The two equations given to us are

  • ab = 3
  • ab^2 = 18

Divide the second equation over the first equation and that would lead to b = 6

Notice how the 'a' terms divide to 1 and go away, i.e. cancel out.

The b terms divide to (b^2)/b = b

The right hand side values divide to 18/3 = 6

So that's how we end up with b = 6

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

Now if b = 6, then we can say,

ab = 3

a*6 = 3

a = 3/6

a = 1/2

Or we could say

ab^2 = 18

a*6^2 = 18

a*36 = 18

a = 18/36

a = 1/2

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In the year 2019, Lee County used approximately 55 million gallons of water. Historical trends show that each year the water dem
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Answer:

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Step-by-step explanation:

The amount, in millions gallons of water, spent by Lee County, in t years after 2019, is given by the following equation:

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In which P(0) is the amount spent on 2019 and r is the increse rate, as a decimal.

In the year 2019, Lee County used approximately 55 million gallons of water.

This means that P(0) = 55

Historical trends show that each year the water demand is increasing by a rate of approximately 2.1%.

This means that r = 0.021

So

P(t) = P(0)(1 + r)^{t}

P(t) = 55(1 + 0.021)^{t}

P(t) = 55(1.021)^{t}

Approximately how many million gallons of water will be used by Lee County by the year 2025?

2025 is 2025 - 2019 = 6 years after 2019. So this is P(6).

P(t) = 55(1.021)^{t}

P(6) = 55(1.021)^{6}

P(6) = 62.3

Rounded to the nearest millions

Approximately 62 gallons of water will be used by Lee County by the year 2025.

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3 years ago
Daltons dad rode 1 kilometer north 2 kilometers west 1 kilometer south and 2 kilometers east. Dalton rode the same path 5 times
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Answer:

Dalton didn't ride any kilometer farther since he keeps threading in the same path as that of his father.

Step-by-step explanation:

If Dalton's dad rode 1 kilometer north, 2 kilometers west 1 kilometer south and 2 kilometers east, then he has been moving in a rectangular path.

If Dalton rode in the same path 5times, then Dalton's has not move farther than his dad since he is still moving in the same rectangular path. He is only expending more energy.

Their final destination will still be the same for both of them no matter how many times Dalton keeps threading in the same path.

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Answer: 315 miles

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