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OLEGan [10]
3 years ago
5

Two mechanics worked on a car. The first mechanic charged $65 per hour, and the second mechanic charged $60 per hour. The mechan

ics worked for a combined total of 25 hours, and together they charged a total of $1600 . How long did each mechanic work?
First mechanic: ? hours
Second mechanic: ? hours
Mathematics
1 answer:
Bess [88]3 years ago
4 0

Answer:

First mechanic: 12.8 hours & Second mechanic:12.8 hours

First mechanic made 832$ & Second mechanic made 768$

Hope this is right. If not I apologize and please let me know:)

Step-by-step explanation:

First you would do 65+60=125. You do this to find how much they charge together. Then you would take the amount of money they make and divide that from 125: 1600/125=12.8. Now that you have 12.8 you would plug that in for each mechanic: 65 times 12.8=832 and 60 times 12.8=768. Now you have the amount of money each mechanic made and the amount of hours they worked.

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A trough is 8 feet long and has perpendicular cross section in the shape of an isosceles triangle (point down) with base 1 foot
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Answer:

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Step-by-step explanation:

As a perpendicular cross section of the trough is in the shape of an isosceles triangle the trough has a circular cone shape wit base of  1 feet and height     h = 2 feet.

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V(c)  = 1/3 * π*r²*h

Then differentiating on both sides of the equation we get:

DV(c)/dt   = 1/3* π*r² * Dh/dt   (1)

We know that DV(c) / dt   is  1 ft³ / 5 min      or     1/5  ft³/min

and  we are were asked how fast is the water rising when the water is 1/2 foot deep. We need to know what is the value of r at that moment

By proportion we know

r/h  ( at the top of the cone  0,5/ 2)   is equal to  r/0.5  when water is 1/2 foot deep

Then      r/h   =   0,5/2   =  r/0.5

r  =  (0,5)*( 0.5) / 2        ⇒   r  =  0,125 ft

Then in equation (1) we got

(1/5) / 1/3* π*r² =  Dh/dt

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Step-by-step explanation:

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