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siniylev [52]
3 years ago
10

The typical full-time employee in a particular hotel works a 40-hour week. Last month, the hotel's 80 employees worked a total o

f 4,000 hours. How many full-time equivalent (FTE) workers were employed by the hotel last month?
Mathematics
1 answer:
Mila [183]3 years ago
7 0

Answer: There are 25 FTEs.

Step-by-step explanation:

Since we have given that

Number of hour week for full time employee = 40 hours

In a month we know that

Number of weeks = 4

Total number of hours in a month would be

40\times 4\\\\=160\ hours

If in last month, the hotel's 80 employees worked a total of 4000 hours,

So, Full time equivalent workers were employed by the hotel last month would be

\dfrac{4000}{160}\\\\=25

Hence, there are 25 FTEs.

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the sum of the reciprocals of two consecutive even integers is 9/40. this can be represented by the equation shown 1/x + 1/(x+2)
Ivanshal [37]

Answer:

  8, 10

Step-by-step explanation:

Multiplying the equation by the product of the denominators, we have ...

  40(x+2) +40x = 9x(x+2)

  80x +80 = 9x^2 +18x . . . . eliminate parentheses

  9x^2 -62x -80 = 0 . . . . . . put in standard form

  9x^2 -72x +10x -80 = 0 . . . prepare to factor by grouping

  9x(x -8) +10(x -8) = 0 . . . . . factor pairs of terms

  (9x +10)(x -8) = 0

Solutions are ...

  x = -10/9  and  x = 8

The integers are 8 and 10.

_____

<em>Comment on the attachment</em>

I find a graphing calculator to be a nice tool for solving these. It finds zeros easily, so writing the equation so it equals zero is a useful first step.

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4 years ago
How do you change a decimal into a percent
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move the decimal to the left twice

Step-by-step explanation:

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3 years ago
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In the number 514,482,441, how is the relationship between the first pair of 4s the same as the relationship between the second
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Kevin uses 2 and 1/4 cups of ravens for every half cup of peanuts when making a snack mix how many cups of raisins does Kevin us
Dmitrij [34]

Answer:

For 1 cup of peanut Kevin will use \frac{9}{2} \ cups \ \ \ OR \ \ \ 4\frac{1}{2} \ cups of raisins.

Step-by-step explanation:

Given:

\frac{1}{2} cups of peanuts = 2\frac{1}{4} cups of raisin

2\frac{1}{4}  can be rewritten as \frac{9}{4}

\frac{1}{2} cups of peanuts = \frac{9}{4} cups of raisin

We need to find number of cups of raisins used in 1 cup of peanut.

Solution:

Now we know that;

\frac{1}{2} cups of peanuts = \frac{9}{4} cups of raisin

So 1 cup of peanut = number of cups of raisins used in 1 cup of peanut

Now by using Unitary method we get;

number of cups of raisins used in 1 cup of peanut = \frac{\frac{9}{4}}{\frac{1}{2}}=\frac{9}{4}\times \frac{2}{1} = \frac{9}{2} \ cup \ \ \ OR \ \ \ 4\frac{1}{2} \ cup

Hence For 1 cup of peanut Kevin will use \frac{9}{2} \ cups \ \ \ OR \ \ \ 4\frac{1}{2} \ cups of raisins.

5 0
3 years ago
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