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aivan3 [116]
3 years ago
12

You work 25 hours per week. You need to earn $240 to cover your weekly expenses. Your job as a dog walker pays $10 an hour. Your

job at the car wash pays $8 an hour. How many hours must you work at each job to earn $240?
Write a system of equations to represent the situation.


Solve the system.


Explain what the answer means in the context of the problem.
Mathematics
1 answer:
qwelly [4]3 years ago
7 0

Answer:

(8×5)+(10×20)=240

Step-by-step explanation:

8 (Car wash hourly pay $$) times 5 (hours worked) equals 40(money earned). And 10 (dog walker money $$) times 20 (hour worked) equals 200(money earned). 200(dog walker) plus 40(car washer) is 240. So if you do 5 hours at the car wash and 10 hours of dog walking, you'll earn enough to cover your expenses.

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Can someone please explain how to do these?
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Answer:

<u>First question answer:</u> The limit is 69

<u>Second question answer:</u> The limit is 5


Step-by-step explanation:

For the first limit, plug in x=8 in the expression (9x-3), that's the answer for linear equations and limits.

So we have:

9x-3\\9(8)-3\\72-3\\69

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For the second limit, if we do same thing as the first, we will get division by 0. Also indeterminate form, 0 divided by 0. Thus we would think that the limit does not exist. But if we do some algebra, we can easily simplify it and thus plug in the value x=1 into the simplified expression to get the correct answer. Shown below:

\frac{x^2+8x-9}{x^2-1}\\\frac{(x+9)(x-1)}{(x-1)(x+1)}\\\frac{x+9}{x+1}

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\frac{x+9}{x+1}\\\frac{1+9}{1+1}=\frac{10}{2}=5

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