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zlopas [31]
3 years ago
14

Lin’s job pays $8.25 an hour plus $10 of transportation allowance each week. She has to work at least 5 hours a week to keep the

job, and can earn up to $175 per week (including the allowance).
Mathematics
1 answer:
devlian [24]3 years ago
3 0

Answer:

x ≥ 5, 8.25x + 10 = 175, and x = 20 hours.

Step-by-step explanation:

Let Lin works x hours per week.

Now given that Lin’s job pays $8.25 an hour plus $10 of transportation allowance each week.

And she has to work at least 5 hours a week to $175 per week.

So, the inequality that can be written from the above condition is x ≥ 5 .......(1)

And the equation that can be written that

8.25x + 10 = 175 ....... (2)

So now we can write x = 20 hours

Hope this was helpful :)

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Answer:

The original length was 41 inches and the original width was 16 inches

Step-by-step explanation:

Let

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y ----> the original width of the piece of​ metal

we know that

When squares with sides 5 in long are cut from the four corners and the flaps are folded upward to form an open box

The dimensions of the box are

L=(x-10)\ in\\W=(y-10)\ in\\H=5\ in

The volume of the box is equal to

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so

930=(x-10)(y-10)5

simplify

186=(x-10)(y-10) -----> equation A

Remember that

The piece of metal is 25 in longer than it is wide

so

x=y+25 ----> equation B

substitute equation B in equation A

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solve for y

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Solve the quadratic equation by graphing

using a graphing tool

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see the attached figure

Find the value of x

x=16+25=41

therefore

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