A man's regular pay is $3 per hour up to 40 hours. Overtime is twice the payment for regular time If he was paid $168, how many hours overtime did he work?

Answer:

Step-by-step explanation:

Since L is the midpoint of MN, by the definition of midpoint:

We can picture the following segment:

M----------L----------N

We know that and . Since the two segments are equivalent, we can set them equal to each other:

Now, let's solve for x. Subtract -7 from both sides:

Subtract 3x from both sides:

Divide both sides by -1:

So, the value of x is 10.

With this, we can find the remaining lengths.

We know that ML is .

Substitute 10 for x. So, the length of ML is:

We know that LN is . So, the length of LN is:

Finally, MN will be the combined lengths of ML and LN. So:

And we're done!

The lengths of each segment are:

ML = 27, LN = 27, and MN = 54.

We have,

Let's use the information given to find the values of ML, LN, and MN.

ML = 2x + 7

LN = 3x - 3

L is the midpoint of MN, which means that ML is equal to LN:

2x + 7 = 3x - 3

Now, let's solve for x:

Move the x term to one side of the equation:

2x - 3x = -3 - 7

-x = -10

Now, multiply both sides by -1 to get rid of the negative sign:

x = 10

Now that we have the value of x, we can find the lengths ML, LN, and MN:

ML = 2x + 7

ML = 2(10) + 7

ML = 20 + 7

ML = 27

LN = 3x - 3

LN = 3(10) - 3

LN = 30 - 3

LN = 27

MN = ML + LN

MN = 27 + 27

MN = 54

Thus,

The lengths of each segment are:

ML = 27, LN = 27, and MN = 54.

Learn more about midpoints of linesegments here:

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