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Luden [163]
2 years ago
5

In economics, unit labor cost, UU, is calculated using the formula U = \dfrac{O}{W}U=WO​, where OO is the hourly output per work

er and WW is the hourly compensation per worker.
Rearrange the formula to solve for hourly compensation per worker (W)
Mathematics
2 answers:
Juli2301 [7.4K]2 years ago
8 0

Answer:  W = \frac{O}{U}

Step-by-step explanation:

Since, the given formula pf finding unit labor cost is,

U = \frac{O}{W}

Where  O is the hourly output per worker

And, W is the hourly compensation per worker.


U = \frac{O}{W}\implies W =\frac{O}{U}

Thus, the formula for solving hourly compensation per worker (W) is,

W = \frac{O}{U}


san4es73 [151]2 years ago
8 0

Answer: W=\frac{O}{U}


Step-by-step explanation:

Given: In economics, unit labor cost, U, is calculated using the formula

U=\frac{O}{W}, where O is the hourly output per worker and WW is the hourly compensation per worker.

Now, to rearrange the formula to solve for hourly compensation per worker (W), We multiply both sides by W and divide both sides by U we get,

U\times\frac{1}{U}\times W=\frac{O}{W}\times W\times\frac{1}{U}\\\Rightarrow\ W=\frac{O}{U}

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torisob [31]

Answer:

Please see attached image for the sketch with the labels.

Length "x" of the ramp = 11.70 ft

Step-by-step explanation:

Notice that the geometry to represent the ramp is a right angle triangle, for which we know one of its acute angles (20^o), and the size of the side opposite to it (4 ft). Our unknown is the hypotenuse "x" of this right angle triangle, which is the actual ramp length we need to find.

For this, we use the the "sin" function of an angle in the triangle, which is defined as the quotient between the side opposite to the angle, divided by the hypotenuse, and then solve for the unknown "x" in the equation:

sin(20^o)=\frac{opposite}{hypotenuse}\\ sin(20^o)=\frac{4}{x} \\x=\frac{4}{sin(20^o)} \\x=11.695\,\,ft

Therefore the length of the ramp rounded to the nearest hundredth as requested is: 11.70 ft

5 0
3 years ago
You have 65% of your homework left to complete. What decimal and fraction represent the amount of homework you have finished?
Maurinko [17]
Percentage of homework that is left to be completed = 65%
Then
The percentage of homework that is already done = (100 - 65) percent
                                                                           = 35 percent
                                                                           = (35/100)
                                                                           = 7/20
                                                                           = 0.35
So the amount of homework that has already been completed can be represented as 7/20 or o.35. Hope this is the answer you were looking for and i have helped you in this matter. Also i hope the procedure is easy enough for you to understand.
7 0
3 years ago
Which sequence of transformations carries ABCD onto HGFE?
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D.

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6 0
2 years ago
Reverse the two digits of my age, divide by three, add 20, and the result is my age. How many years old am I
lapo4ka [179]

Answer:

  • 48 years old.

Step-by-step explanation:

Let the age be xy or 10x + y.

Reverse the two digits of my age, divide by three, add 20, and the result is my age, convert this to equation:

  • (10y + x)/3 + 20 = 10x + y
  • (10y + x)/3 = 10x + y - 20
  • 10y + x = 3(10x + y - 20)
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  • 30x - x + 3y - 10y = 60
  • 29x - 7y = 60

We should consider both x and y are between 1 and 9 since both the age and its reverse are 2-digit numbers.

Possible options for x are:

  • 29x ≥ 7*1 + 60 = 67 ⇒ x > 2, at minimum value of y,

and

  • 29x ≤ 7*9 + 60 = 123 ⇒ x < 5, at maximum value of y.

So x can be 3 or 4.

<h3>If x = 3</h3>

  • 29*3 - 7y = 60
  • 87 - 7y = 60
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  • y = 27/7, discarded as fraction.

<h3>If x = 4</h3>

  • 29*4 - 7y = 60
  • 116 - 7y = 60
  • 7y = 56
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So the age is 48.

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3 years ago
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