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denis23 [38]
2 years ago
6

Paula received a paycheck of $585. This amount reflects her weekly earnings less 10% of her earnings for deductions. How much wa

s she paid before deductions were taken out?
Mathematics
1 answer:
LenKa [72]2 years ago
5 0
In order to do this we must set up an equation
We are looking for the original amount she was paid, which we'll represent by the variable X
We know that $585 is X minus 10% of X
This means that $585 is 90% of X (or X times 0.90)
So, our equation is

X(0.90)=585

In order to solve this, we can divide both sides by 0.90

X=650

So, she was originally paid $650
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a motel clerk counts his $1 and $10 bills at the end of the day. he finds that he has a total of 56 bills having a combined mone
alina1380 [7]
We can write a system of equations:

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x + y = 56

Where 'x' is the number of $1 bills, and 'y' is the number of $10 bills.

To find this we can solve using substitution.

Re-arrange the 2nd equation:

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Subtract 'y' to both sides:

x = -y + 56

Now we can plug in '-y + 56' for 'x' in the first equation.

1x + 10y = 182

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Combine like terms:

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Divide 9 to both sides:

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Now we can plug this into any of the two equations to find the 'x' value.

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Subtract 14 to both sides:

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So our final answer is (42, 14).

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Step-by-step explanation:

Given that the plane travels 264 miles in 1.1 hours with a headwind, the following calculation must be performed to determine its speed:

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