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agasfer [191]
2 years ago
5

Tina babysits children in her neighborhood. When Tina is asked her rate, she tells her neighbors that she charges $15 for the fi

rst hour and $8 for each hour after. If Tina's neighbor asks Tina to babysits for 4 hours, how much will Tina earn? Write an equation to model and solve the problem. Write the answer as an ordered pair and explain the meaning of the ordered pair.
Mathematics
1 answer:
OLga [1]2 years ago
7 0

The amount charged is an illustration of a linear equation.

Tina charges $39 for 4 hours

The given parameters are:

Base = 15 --- amount charged for the first hour

Rate = 8 --- amount charged for the extra hours

If Tina babysits for 4 hours, it means that:

  • <em>She will charge $15 for the first hour</em>
  • <em>$8 for the extra 3 hours</em>

<em />

So, the total charges is:

Total = 15 + 3 \times 8

Total = 15 + 24

Total = 39

The ordered pair is (4,39)

It means that:

She charges $39 for 4 hours

Read more about linear functions at:

brainly.com/question/20286983

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Answer:

V = 120.6796

LA = 110.8513

SA = 174.8513

Step-by-step explanation:

Let me know if you need more of an explanation for any of these

First we need the height, one way to find that out is to use the diagonal of the  and one of the diagonal edges of the pyramid.  Specifically we will need half of the diagonal of the square.  We will call the diagonal of the square d.

8^2+8^2=d^2\\d=\sqrt{64+64} \\d=\sqrt{128}

Gonna leave it like that for ease of writing.  So then half of the diagonal is \frac{\sqrt{128}}{2}

The height, h, will be (\frac{d}{2})^2+h^2 = 8^2.  Plugging everything in gets us h=\sqrt{32}

last, we need to find slant height, which we will call s.

(\frac{8}{2})^2+h^2 = s^2\\s=\sqrt{48}

s is also the height of the triangles for purposes of finding area.  Now for the volume and areas.

Volume is area of the base times height divided by 3, so V=8^2\frac{\sqrt{32} }{3}  = \frac{64\sqrt{48} }{3} = 120.6796

Lateral area is the sum of the four areas of the triangles, and each of those are \frac{8*h}{2} so the whole lateral area is 4 times that.  So we get 4\frac{8\sqrt{32} }{2} =110.8513

Total surface area is the lateral surface area + the area of the base, so 110.8513 + 64 = 174.8513

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3 years ago
Make 8 10 times as much
Neporo4naja [7]
80 would be the answer i guess can you explain more in depth?
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If you get a check for $289.25 a week, how much will you have made it at the end of the month
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The three lines given below form a triangle. Find the coordinates of the vertices of the triangle.
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Answer:

  • (3, 5), (1, 2) and (5, 1)

Step-by-step explanation:

Make three systems with pairs of lines and solve them to work out the vertices.

1) <u>Line 1 and line 2</u>

  • -3x + 2y = 1
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<u>Double the second equation and subtract equations:</u>

  • -3x + 2y - 2(2x + y) = 1 - 2(11)
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The point is (3, 5)

2) <u>Line 1 and line 3</u>

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<u>Find x:</u>

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The point is (1, 2)

3) <u>Line 2 and line 3</u>

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<u>Double the second equation and subtract the equations:</u>

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The point is (5, 1)

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