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Anit [1.1K]
3 years ago
13

4 Ayla s is paid $15 20 per hour for a 34 hour week. April has the same weekly pay but works 38

Mathematics
1 answer:
VashaNatasha [74]3 years ago
5 0

Find Atlas weekly pay by multiplying rate by hours:

15.20 x 34 = 516.80 a week.

Now to find Apri’s rate divide the weekly pay by hours:

516.80 / 38 =$13.60 per hour

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Find two consecutive even numbers such that the difference of one-half the larger and two-fifths the smaller is equal to 38
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EXPLANATION

The consecutive even numbers are
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EXPLANATION

Let
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The difference of one-half the larger one and two-fifth the smaller one is 38 gives the equation,


\frac{1}{2} (x + 2) -  \frac{2}{5} x = 38


We multiply through with an LCM of 10 to get,



10 \times \frac{1}{2} (x + 2) - 10 \times  \frac{2}{5} x = 38 \times 10


This simplifies to,


5(x + 2) -  4x = 380


We expand the brackets to get,


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We group like terms to get,


5x - 4x = 380 - 10



This simplifies to
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