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irga5000 [103]
3 years ago
6

A computer company uses the function f(h) = 50h + 75 to calculate the total repair bill, f(h), for h number of hours worked. Fin

d h if f(h) = $275.
Mathematics
1 answer:
VLD [36.1K]3 years ago
6 0
Well first put the equation as a whole because you have f(h),275=50h+75. Now we have to get h by itself to get its value.
1. Move 75 over to the left by subtracting it for 200=50h
2. Now divide by 50 to get h alone. 4=h
You now know that the value of h is 4.
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Please explain how to do this, I'm using all my points<br><br>A. 40 L<br>B. 80 L<br>C. 4 L <br>D. 8L
exis [7]

Answer: choice A. 40 liters

====================================

Explanation:

x = number of liters of the 50% alcohol solution

If we have x liters of 50% alcohol, then we have 0.50*x liters of pure alcohol. This is added to 0.90*40 = 36 liters of pure alcohol (from the 90% solution).

So far we have 0.50*x + 36. This expression represents the total amount of pure alcohol. We want a 70% solution, so we want 70% of the total 40+x meaning 0.50*x + 36 is to be set equal to 0.70*(40+x) and we solve for x as shown below

0.50*x + 36 = 0.70*(40+x)

0.50*x + 36 = 0.70*(40)+0.70*(x)

0.50*x + 36 = 28+0.70*x

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0.20x = 8

x = 8/0.20

x = 40

So that is why the answer is choice A. 40 liters

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3 years ago
F triangle DEF is translated 6 units to the left, what are the coordinates of point D′ in the image?
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nataly862011 [7]

Answer:

width= 75 cm

Step-by-step explanation:

We need to recall the formula to calculate the area of a rectangle, since we are dealing with a rectangular window:

Area of rectangle = width * length

therefore, since they give us the window's area: 6525 cm^2, and also the window's length: 87 cm, we just need to replace those values in the area formula and solve for the unknown "width". We do such by dividing both sides of the equation by 87 cm in order to isolate the unknown on one side of the equal sign;

6525cm^2 =87cm*width\\\frac{6525cm^2}{87cm} =width\\width=75cm

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3 years ago
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