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kodGreya [7K]
3 years ago
6

An office has 150 employees, and 30 of the employees work the night shift. What percentage of the employees work the night shift

?
Mathematics
2 answers:
12345 [234]3 years ago
5 0

20% of the employees work the night shift

Zanzabum3 years ago
4 0
<h2>Answer:</h2>

The percent of employees who work in the night shift are:

                                     20%

<h2>Step-by-step explanation:</h2>

Total number of employee in the office are: 150

Number of employee who work in the night shift are:  30

The percent of the employee who work in the night shift is calculated as follows:

\dfrac{\text{Number\ of\ people\ working\ in\ the\ night\ shift}}{\text{Total\ number\ of\ employees}}\times 100

Hence, on putting the value in the above formula we get:

=\dfrac{30}{150}\times 100\\\\\\=\dfrac{1}{5}\times 100\\\\\\=20\%

            Hence, the answer is:

                          20%

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What’s the numerator for the following rational expression
Zanzabum
<span>(x/y)+(3/y)=(x+3)/y

the answer is 
the numerator for the following rational expression</span> is x+3

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3 years ago
How do you answer these two questions?
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I think you could multiply or divide. Hope this helps:)
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3 years ago
How do you do this question?
Ksivusya [100]

Answer:

V = (About) 22.2, Graph = First graph/Graph in the attachment

Step-by-step explanation:

Remember that in all these cases, we have a specified method to use, the washer method, disk method, and the cylindrical shell method. Keep in mind that the washer and disk method are one in the same, but I feel that the disk method is better as it avoids splitting the integral into two, and rewriting the curves. Here we will go with the disk method.

\mathrm{V\:=\:\pi \int _a^b\left(r\right)^2dy\:},\\\mathrm{V\:=\:\int _1^3\:\pi \left[\left(1+\frac{2}{y}\right)^2-1\right]dy}

The plus 1 in '1 + 2/x' is shifting this graph up from where it is rotating, but the negative 1 is subtracting the area between the y-axis and the shaded region, so that when it's flipped around, it becomes a washer.

V\:=\:\int _1^3\:\pi \left[\left(1+\frac{2}{y}\right)^2-1\right]dy,\\\\\mathrm{Take\:the\:constant\:out}:\quad \int a\cdot f\left(x\right)dx=a\cdot \int f\left(x\right)dx\\=\pi \cdot \int _1^3\left(1+\frac{2}{y}\right)^2-1dy\\\\\mathrm{Apply\:the\:Sum\:Rule}:\quad \int f\left(x\right)\pm g\left(x\right)dx=\int f\left(x\right)dx\pm \int g\left(x\right)dx\\= \pi \left(\int _1^3\left(1+\frac{2}{y}\right)^2dy-\int _1^31dy\right)\\\\

\int _1^3\left(1+\frac{2}{y}\right)^2dy=4\ln \left(3\right)+\frac{14}{3}, \int _1^31dy=2\\\\=> \pi \left(4\ln \left(3\right)+\frac{14}{3}-2\right)\\=> \pi \left(4\ln \left(3\right)+\frac{8}{3}\right)

Our exact solution will be V = π(4In(3) + 8/3). In decimal form it will be about 22.2 however. Try both solution if you like, but it would be better to use 22.2. Your graph will just be a plot under the curve y = 2/x, the first graph.

5 0
3 years ago
Which expression is equivalent to -0.6(1.2x + 4.5) - 3(2.8x - 4)?
Citrus2011 [14]
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1. Distribute -0.6 and -3 to the brackets (by multiplying )
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3. Add all together

8 0
3 years ago
Tim drives at an average speed of 80 km per hour for 3 hours and 45 minutes. work out how may kilometers Tim drives.
lara31 [8.8K]
Hey there!


Tim drives 300 kilometers.


Work: 80 x 3 = 240
Then, 45 minutes is 3/4 of an hour, so if you were to do 3/4 of 80  it is 60
Now, add 240 + 60 = 300

Hope I was able to help!
6 0
3 years ago
Read 2 more answers
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