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3 years ago

Two mechanics worked on a car. The first mechanic worked for 15

Mathematics

1 answer:

nevsk [136]3 years ago

5 0

Answer: For the sum of 130

First: $90

Second: $40

Step-by-step explanation:

We write equations for each part of this situation.

<u>The Total Charge</u>

Together they charged 1550. This means 1550 is made up of the first mechanics rate for 15 hours and the second's rate for 5 hours. Lets call the first's rate a, so he charges 15a. The second's let's call b. He charges 5b. We add them together 15a+5b=1550.

<u>The Sum of the Rates</u>

Since the first's rate is a and the second is b, we can write a+b=130 since their sum is 130.

We solve for a and b by substituting one equation into another. Solve for the variable. Then substitute the value into the equation to find the other variable.

For a+b=130, rearrange to b=130-a and substitute into 15a+5b=1550.

15a + 5 (130-a)=1550

15a+650-5a=1550

10a+650-650=1550-650

10a=900

a=$90 was charged by the first mechanic.

We substitute to find the second mechanic's rate.

90+b=130

90-90+b=130-90

b= $40 was charged by the second mechanic

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vladimir2022 [97]

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−

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(

−

)

where

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is the vertex and

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−

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−

(

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)

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−

(

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)

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−

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)

(

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−

(

)

−

Step-by-step explanation:

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3 years ago

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nika2105 [10]

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Sn= (n-2) 180°

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2) In each polygon the sum of the external angles is 360°

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6 0

3 years ago

Read 2 more answers

A cable 19 m long runs from the top of a utility pole to a point on the ground 10 m from the base of the pole. How tall is the u

Leviafan [203]

Answer:

16.2 m

Step-by-step explanation:

First, we can draw a picture. The cable goes from the top of the pole to the ground (with the pole on the right in my drawing), and the point on the ground is 10 m away from the base of the pole. This forms a right triangle, with the right angle being between the 10 m distance and the pole itself. We can then apply the Pythagorean Theorem, so

a²+b²=c², with c being the side opposite the right angle (the cable), getting us

10²+(length of pole)² = 19²

19²-10²=(length of pole)²

= 261

square root both sides to isolate the length of the pole

length of pole ≈ 16.2 m

5 0

2 years ago