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motikmotik
4 years ago
11

Two mechanics worked on a car. The first mechanic worked for 5 hours, and the second mechanic worked for 15 hours. Together they

charged a total of $1400. What was the rate charged per hour by mechanic if the sum of the two rates was $130 per hour
Mathematics
1 answer:
kogti [31]4 years ago
5 0
Let's define variables:
 x = Rate in $ / hr of the mechanic working 15hr
 y = Rate in $ / hr of the mechanic working 5hr
 We have the following system of equations:
 x + y = 130
 15x + 5y = 1400
 Solving the system we have:
 x = $ 75 / hr
 y = $ 55 / hr
 Answer:
 
the rate charged per hour by mechanics was:
 
x = $ 75 / hr
 
y = $ 55 / hr
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4(5x-3)=48<br><img src="https://tex.z-dn.net/?f=4%285x%20-%203%29%3D%2048" id="TexFormula1" title="4(5x - 3)= 48" alt="4(5x - 3)
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Hello, My Dear Friend!

Solution for 4(5x-3)=48 equation:

<span>Simplifying:
</span>4(5x + -3) = 48<span>

</span><span>Reorder the terms:
</span>4(-3 + 5x) = 48
(-3 * 4 + 5x * 4) = 48
(-12 + 20x) = 48<span>

</span><span>Solving:
</span>-12 + 20x = 48<span>

</span><span>Solving for variable 'x'.
</span>Move all terms containing x to the left, all other terms to the right.
<span>Add '12' to each side of the equation.
</span>-12 + 12 + 20x = 48 + 12<span>

</span>Combine like terms: -12 + 12 = 00 + 20x = 48 + 12
20x = 48 + 12<span>

</span><span>Combine like terms: </span>48 + 12 = 60
20x = 60<span>

</span><span>Divide each side by '20'.
</span>x = 3<span>

</span><span>Simplifying:
</span>x = 3<span>

Therefore, THAT is The Answer!^^^ 

</span>=====> x = 3 <=====

I Hope my answer has come to your Help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead! :)

(Ps. Mark As Brainliest IF Helped!)

-UniteTheSeven, UniteTheLeague, Justice League!!! :D

<span>-TheOneAboveAll :)</span>
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4 years ago
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The range that is appropriate to use to represent the numerical data is 0.0 to 26.0.

<h3>What is a line graph?</h3>

A line graph is a graph that is used to represent numerical data. It shows the changes in the data with the passage of time. There are two axes on a line graph, the vertical axis and the horizontal axis. The range of the vertical axis should start from 0 and end at the largest number of data set.

Please find attached the diagram. To learn more about line graphs, please check: brainly.com/question/27252279

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