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LiRa [457]
3 years ago
10

Two mechanics worked on a car. The first mechanic worked for 10 hours, the second mechanic worked for 5. Together they charged a

total of 950$ What was the rate charged per hour by each mechanic if the sum of the two rates was 125$ per hour?
Mathematics
1 answer:
Andrej [43]3 years ago
5 0

Answer:

Step-by-step explanation:

Let x = the hourly rate of the first mechanic and

     y = the hourly rate of the second mechanic.

As far as the equation goes for the total amount charged:

10x + 5y = 950

As far as the equation goes for the sum of the 2 mechanics' rates:

x + y = 125

Solve the first equation for either x or y. I solved for y:

y = 125 - x

Now plug that into the first equation for y to get:

10x + 5(125 - x) = 950 and

10x + 625 - 5x = 950 and

5x = 325 so

x = 65

The first mechanic charges $65 per hour and the second mechanic charges

y = 125 - 65 so

the second mechanic charges $60 per hour.

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What is the slope of the line that passes through the points ( 4 , 9 ) (4,9) and ( 7 , 18 ) ? (7,18)? Write your answer in simpl
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Answer:

slope = 3

Step-by-step explanation:

Calculate the slope m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

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4 years ago
One endpoint of a line segment is located at (-15, -3). The other
m_a_m_a [10]

The ordered pair for the other end is (35, 3).

Here, first endpoint = (-15, -3)

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From the midpoint formula, we know that:

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So, here M = (10, 0)

x2 = -15

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We will separate the equation (1), in two parts to get the value of x1 and y1.

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For y1,

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Therefore, the ordered pair that represents the other end of the segment is (35, 3).

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So 5 and 9 are two out of fifteen (2/15).

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