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musickatia [10]
3 years ago
7

If someone made $306 for 17 hours of work, at the same rate, how much would she make for 12 hours of work?

Mathematics
2 answers:
julsineya [31]3 years ago
8 0
$216.............................

Sloan [31]3 years ago
8 0
306 divides by 17= 18 ($18 per hour)
18x12=216
She would make $216
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0.667 in simple fraction​
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Step-by-step explanation:

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65 x 2.5 = 162.5

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(\frac{3}{4})^6 \times (\frac{16}{9})^5=(\frac{4}{3})^{x+2}

\frac{3^6}{4^6} \cdot \frac{16^5}{9^5}=\frac{4^{x+2}}{3^{x+2}}

\frac{3^6}{4^6} \cdot \frac{(4^2)^5}{(3^2)^5}=\frac{4^{x+2}}{3^{x+2}}

\frac{3^6}{4^6} \cdot \frac{4^{10}}{3^{10}}=\frac{4^{x+2}}{3^{x+2}}

\frac{3^6}{3^{10}} \cdot \frac{4^{10}}{4^6}=\frac{4^{x+2}}{3^{x+2}}

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This implies

x+2=4

and

-(x+2)=-4.

x+2=4 implies x=2 since subtract 2 on both sides gives us x=2.

Solving -(x+2)=-4 should give us the same value.

Multiply both sides by -1:

x+2=4

It is the same equation as the other.

You will get x=2 either way.

Let's check:

(\frac{3}{4})^6 \times (\frac{16}{9})^5=(\frac{4}{3})^{2+2}

(\frac{3}{4})^6 \times (\frac{16}{9})^5=(\frac{4}{3})^{4}

Put both sides into your calculator and see if you get the same thing on both sides:

Left hand side gives 256/81.

Right hand side gives 256/81.

Both side are indeed the same for x=2.

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3 years ago
How do you divide fractions?
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Quite a broad question. 10/2 you divide by 2 which equals 5. Is that your question?
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3 years ago
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