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Alona [7]
3 years ago
11

Two mechanics worked on a car. The first mechanic charged $85 per hour and the second mechanic charged $80 per hour the mechanic

s worked for a combined Total of 20 hours and together they charged a total of $1675. How long did each mechanic work?
Mathematics
1 answer:
Firlakuza [10]3 years ago
5 0

Answer:

Correct answer: First x = 15 h and second y = 5 h

Step-by-step explanation:

To solve this problem we will form a system of two equations with two variables:

Let be the time of the first mechanic x  and of the second y

x + y = 20  ⇒ y = 20 - x

85 x + 80 y = 1675

85 x + 80 (20 - x) = 1675

85 x + 1600 - 80 x = 1675

5 x = 1675 - 1600

5 x = 75

x = 75 / 5 = 15 h

x = 15 h

y = 20 - 15 = 5 h

y = 5 h

God is with you!!!

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The missing information, not present in this question are:

  • Length of FG = |FG| = 14.5
  • Length of FE = |FE| = 11.9
  • Angle ∠GFE = θ

Since for the triangle GFE, if we look from the angle ∠GFE, the sides given are hypotenuse FG and the base FE.

Thus, we can use cosine ratio, and then its inverse to find the value of angle θ.

Thus, we get:

\cos(\theta) = \dfrac{|FE|}{|FG|} = \dfrac{11.9}{14.5} \\\\\theta = \cos^{-1}\left(\dfrac{11.9}{14.5}\right)\\\\

Thus, the equation that can be used to find the measure of angle GFE is given by: Option B: cos−1(11.9/14.5) = θ

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