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Svet_ta [14]
3 years ago
9

alicia cashed her paycheck and used half of her earnings to take three friends to dinner. She spent $42.15 on dinner and she bro

ught more than $20.00. Write an inequality to represent the situation, using x to represent the amount of alicis's paycheck
Mathematics
1 answer:
Nana76 [90]3 years ago
5 0
X - $42.15 > $20.00
<u>  + $42.15 + $42.15</u>
              x > $62.15
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A master electrician earns $62 per hour. His apprentice earns $40 per hour. The master electrician works 3 hours more than the a
kow [346]
Let x be the number of hours the master electrician works and y the numbers of hours his apprentice works.

The master electrician earns $62 per hour, which means that he earns 62x.
His apprentice earns $40 per hour, which means that he earns 40y.

Together they are paid $492, so we can get the equation:
62x + 40y = 492.

We know that the electrician worked 3 hours more than his apprentice. So he worked x = y + 3 hours. Now let's replace x by its new value in the previous equation.

62x + 40y = 492
62(y+3) + 40y = 492
62y + 186 + 40y = 492

Now we need to put variables apart and numbers apart, so we subtract 186 from both sides of the equation:
62y + 40y + 186 - 186 = 492 - 186
102y = 306

Now we divide both sides by 102
(102y)/102 = 306/102
y = 3

So the apprentice worked 3 hours.
As we already mentioned, the electrician worked 3 hours more than his apprentice.
So he worked x = y + 3 = 3+3 = 6 hours.

The master electrician earns $62 per hour. Since he worked 6 hours, he earns 62 * 6 = 372 dollars.

So the master electrician earns $372 (Option D)

Hope this helps! :)
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Change it into the form

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This equation has a common factor, x. Factorise it out.

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Answer:

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Step-by-step explanation:

Given the zeros of a polynomial say x = a, x = b, x = c then

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here x = 1, x = - 2, x = 2, hence

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