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Kobotan [32]
2 years ago
14

Fred earns $16.50 an hour for overtime. He worked overtime on Monday and Thursday this week. On Monday, he worked 4 hours of ove

rtime. His total overtime pay for the week was $123.75.
Write and solve an equation to find the number of overtime hours, h, Fred worked on Thursday.
Mathematics
1 answer:
baherus [9]2 years ago
4 0

Answer:

3.5 hours

Step-by-step explanation:

16.50*4=$66

123.75-66=57.75

57.75/16.5=3.5 hours

123.75-4x=h

x is pay

h is hours worked

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M(t)M, left parenthesis, t, right parenthesis models the distance (in millions of \text{km}kmstart text, k, m, end text) from Ma
lana [24]

Answer:

214

Step-by-step explanation:

5 0
2 years ago
A manager records the number of hours, X, each employee works on his or her shift and develops the probability distribution belo
Reika [66]

Answer:

c. 2

Step-by-step explanation:

Given : X = No. of hours worked

           No. of people work for the manager = 50

           X = 3, 4 , 5 , 6 , 7, 8

           P(X) = 0.1 , ? , 0.14 , 0.3 , 0.36 , 0.06

To Find : No. of people work for four hours

Solution : First understand the fact that sum of all probabilities is equal to 1

So, sum of all values of P(X) = 1

⇒0.1+?+0.14+0.3+0.36+0.06 = 1

⇒0.96+? = 1

⇒?= 1-0.96

⇒? = 0.04

So, the probability of no. of people worked for 4 hours is 0.04.

⇒P(4)=0.04

Thus , To calculate no. of people work for four hours :

0.04\times 50

⇒ 2 no. of people work for four hours per shift .


5 0
1 year ago
Read 2 more answers
There are 75 people in a room. Of these people, 2/5 are from Germany. If 4/9 of the people who are not from Germany are from Fra
Alex Ar [27]

Answer:

25 people are not from Germany or France.

Step-by-step explanation:

1. You first want find out what is the number of people from Germany.

So you would find...

2/5 of 75

or

2/5*75= 30 people from Germany

2. Next you want to to find out the number of people from France.

So you would do the following...

75-30=45 (Subtract the number of people from Germany from 75 so you can get the total number of people from France and other countries)

4/9 of 45 to find the number of people from France.

4/9 *45= 20

3. Lastly you need to find the people who are from neither of the countries listed above.

Add 30+20= 50

Then subtract that number from 75.

75-50= 25 people who are from neither France or Germany.

Voila! This is your answer. Hope this helps! :)

7 0
2 years ago
The most economical proportion for a right circular cone is to have its height three times long as its base diameter. What later
defon

9514 1404 393

Answer:

  ∛(2500π)√37 m² ≈ 120.911 m²

Step-by-step explanation:

If the height is 3 times the diameter, it is 6 times the radius. Then the volume is ...

  V = 1/3πr²h

  V = 1/3πr²(6r) = 2πr³

For a volume of 100 m³, the radius is ...

  100 m³ = 2πr³

  r = ∛(50/π) m

The lateral area of the cone is computed from the slant height. For this cone, the slant height is found using the Pythagorean theorem:

  s² = r² +(6r)² = 37r²

  s = r√37

Then the lateral area is ...

  LA = πrs

  LA = π(∛(50/π) m)(∛(50/π) m)√37

  LA = ∛(2500π)√37 m² ≈ 120.911 m²

5 0
1 year ago
an animal shelter has a ratio of dogs to cats test 3:2 if they are 30 cats at the shelter how many dogs are there
vitfil [10]
This ratio is in a form of dogs:cats.
The ratio given means there are 3 dogs for every 2 cats.
You can rewrite it as 3 dogs:2 cats.
If there are 30 cats, you would write the ratio as x dogs:30 cats.
Since the same must be done to both sides, you must find how many times 2 was multiplied to get 30 then multiply dogs by that number.
30 / 2 = 15
3 • 15 = 45
So if a shelter has 30 cats, then it has 45 dogs.
This can be written in a ratio as 45:30, or 45 dogs:30 cats.
8 0
2 years ago
Read 2 more answers
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