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satela [25.4K]
3 years ago
9

The car you just bought keeps breaking down. The parts you need to buy cost $408.97. Your mechanic also charges $53 per hour for

labor. Which of these equations best shows the cost to fix your car?
A.)Repair Charge = -53 • Hours of Labor + 408.97

B.)Repair Charge = 53 + Hours of Labor • 408.97

C.)Repair Charge = 53 • Hours of Labor + 408.97

D.)Repair Charge = 53 • Hours of Labor – 408.97
Mathematics
2 answers:
DiKsa [7]3 years ago
7 0
C. repair charge = 53 * hours of labor + 408.97
Novay_Z [31]3 years ago
3 0

Answer:

C.)Repair Charge = 53 • Hours of Labor + 408.97

Step-by-step explanation:

The question asks to write an equation to <u>calculate the cost of repairing the car</u>, this cost will include the cost of the parts which is <em>fixed</em> plus the cost of the labor of the mechanic which will <em>depend on how many hours it takes,</em> as the mechanic charges per hour of labor.

Repair charge = cost of mechanic labor + cost of parts

  • Cost of parts = $408.97

Cost of mechanic labor  is $53 per hour so

  • Cost of mechanic labor = $53 × hours of labor

So the equation will be:

Repair Charge = $53 × hours of labor + $408.97

So it is answer C

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2 years ago
Two poles are connected by a wire that is also connected to the ground. The first pole is 18 ft tall and the second pole is 24 f
9966 [12]

Answer:

  72 feet from the shorter pole

Step-by-step explanation:

The anchor point that minimizes the total wire length is one that divides the distance between the poles in the same proportion as the pole heights. That is, the two created triangles will be similar.

The shorter pole height as a fraction of the total pole height is ...

  18/(18+24) = 3/7

so the anchor distance from the shorter pole as a fraction of the total distance between poles will be the same:

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_____

<em>Comment on the problem</em>

This is equivalent to asking, "where do I place a mirror on the ground so I can see the top of the other pole by looking in the mirror from the top of one pole?" Such a question is answered by reflecting one pole across the plane of the ground and drawing a straight line from its image location to the top of the other pole. Where the line intersects the plane of the ground is where the mirror (or anchor point) should be placed. The "similar triangle" description above is essentially the same approach.

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Alternatively, you can write an equation for the length (L) of the wire as a function of the location of the anchor point:

  L = √(18²+x²) + √(24² +(168-x)²)

and then differentiate with respect to x and find the value that makes the derivative zero. That seems much more complicated and error-prone, but it gives the same answer.

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