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Harman [31]
3 years ago
14

Penelope works after school for 4.5 hours on Monday, Tuesday, and Fridays. She doesn't have classes on Wednesday or Thursdays, s

o she works 8 hours on each of those days. If she makes $413 each week, what's her hourly rate?
Mathematics
1 answer:
antoniya [11.8K]3 years ago
7 0

Answer:

The answer is $14.00 and hour

step-by-step explanation:

you first add the hours for Monday, Tuesday, and Fridays

4.5 + 4.5 + 4.5 = 13.5 hours

then you add Wednesday and Thursday's hours

8 + 8 =16

then you will add your total hours together

16 + 13.5 = 29.5

you already know that she is going to make $413 on her check.  to find out how much she makes an hour you are going to divide $413 by 29.5

413 / 29.5 = 14

So that means she makes $14 an hour

you can check it to make sure it is right.  You will multiply 14 by 29.5

14(29.5) = $413

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What is the perimeter of a polygon with verticals at (-1, 3) , (-1, 6) , (2, 10) , (5, 6) , and (5, 3)
Marat540 [252]

Answer:

22 units

Step-by-step explanation:

The perimeter of a polygon is said to be the sum of the length of it's sides.

From the question, we have 5 vertices. This means the polygon is a pentagon. It's given vertices are

A = (−1, 3)

B = (−1, 6) ​

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D = (5, 6) ​​

E = (5, 3) ​

To find the distance between two points, we use the formula

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Between A and B, we have

d(ab) = √[(6 - 3)² + (-1 --1)²]

d(ab) = √(3²) + 0

d(ab) = √9 = 3

Between B and C, we have

d(bc) = √[(10 - 6)² + (2 --1)²]

d(bc) = √[4² + 3²]

d(bc) = √(16 + 9) = √25 = 5

Between C and D, we have

d(cd) = √[(6 - 10)² + (5 - 2)²]

d(cd) = √[(-4)² + 3²]

d(cd) = √(16 + 9) = √25 = 5

Between D and E, we have

d(de) = √[(3 - 6)² + (5 - 5)²]

d(de) = √(-3)² + 0

d(de) = √9 = 3

Between E and A, we have

d(ea) = √[(3 - 3)² + (5 --1)²]

d(ea) = √[0 + (6)²]

d(ea) = √36 = 6

The perimeter is given as

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2 years ago
Coal is carried from a mine in West Virginia to a power plant in New York in hopper cars on a long train. The automatic hopper c
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0.2839 = 28.93%

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P (x<68.5) = P(z < -0.5555)

Then we use the z table to find the area under the curve.

P (x<68.5) = 0.2893

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