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ss7ja [257]
3 years ago
11

Evan earns $12 an hour plus $15 an hour for every hour of overtime. Overtime hours are any hours more than 30 hours for the week

.
Part A: Create an equation that shows the amount of money earned, M, for working x hours in a week when there is no overtime. (3 points)

Part B: Create an equation that shows the amount of wages earned, T, for working y hours of overtime. Hint: Remember to include in the equation the amount earned from working 30 hours. (3 points)

Part C: Evan earned $510 in 1 week. How many hours (regular plus overtime) did he work? Show your work. (4 points)

Please explain, I'm having trouble understanding. Explain every step.
Mathematics
1 answer:
dangina [55]3 years ago
4 0
A: If Evan earns m in x number of weeks, then the equation would be m=12x

B: The wording here is a bit strange, but I can probably work it out.

Here, you want to include overtime pay in the equation. If 30 hours is included, that would make the equation 12 × 30 + 15y = T

C:

Start with the equation:

12 × 30 + 15y = 510

360 + 15y = 510

15y = 150

Now you need to get the variable on its own, so you divide both sides by 15.

y = 10

If you have any questions about the process, please tell me!
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3 years ago
Two cars leave at the same time from points A and B, the distance between them is 280 km. If the cars meet each other, they’ll m
kykrilka [37]
Set up the following equations:

2x + 2y = 280

14x - 14y = 280

x represents car A's speed, and y represents car B's speed.

We'll use elimination to solve this system of equations. Multiply the first equation by 7:

(2x + 2y = 280) * 7 = 14x + 14y = 1960

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Combine both equations:

28x = 2240

Divide both sides by 28 to get x by itself:

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The speed of car A is 80 mph.

Since we now know the value of one of the variables, we can plug it into the first equation:

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Subtract 160 from both sides.

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Divide both sides by 2 to get y by itself:

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7 0
3 years ago
One positive number is the square of another positive number. their sum is 132. find the numbers.
Jet001 [13]
X +x²= 132
x +x²-132= 132-132
x²+x -132 = 0
(x-11) (x+12) = 0
x-11 = 0 X+12=0
x-11+11 = 0+11 X+12-12=0-12
x =11 x= -12

Check
x +x²= 132 x +x²= 132
-12 +-12²= 132 11 +11²= 132
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Read 2 more answers
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