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Firlakuza [10]
3 years ago
12

Josh and Katya both work at a library making $9 per hour if Katya work seven more hours than Josh last week and they made $279 c

ombined how many hours did Katya work​
Mathematics
1 answer:
lora16 [44]3 years ago
5 0

Answer:

19 hours

Step-by-step explanation:

You have 279. First, devide the 279 by 9(dollar amount).

279/9 = 31

So combined they work 31 hours. Subtract 7 from this, since we know Katya worked 7 extra hours. Youll now have 24.  (31-7 = 24)

Next, divide this number in half, which will get you what they both worked before Katya worked an extra 7 hours.

24/2 = 12.

Now that we know they both worked 12 hours, we can just add back the 7 hours Katya worked.

12+7 = 19.

So the answer to how many hours katya worked will be:

<u>19 hours</u>

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Part 1) The scale factor is 1.5

Part 2) The altitude QS is 4\ units

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Step-by-step explanation:

Part 1) Find the scale factor of triangle TQR to triangle NQP

we know that

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substitute the values

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we know that

To find the altitude QS, divide the altitude of triangle NQP by the scale factor

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Part 3) Find the scale factor of FGHJK to ABCDE

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If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor

Let

z-----> the scale factor

z=\frac{AB}{FG}

substitute the values

z=\frac{10}{15}=\frac{2}{3}

Part 4) Find the value of x

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The value of x is equal to multiply the length side FK by the scale factor

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AE=FK(z)

substitute the values

AE=18(2/3)=12\ units

Part 5) Find the perimeter of ABCDE

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If two figures are similar, then the ratio of its perimeters is equal to the scale factor

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z-----> the scale factor

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z=\frac{x}{y}

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substitute the values

z=\frac{x}{y}

x=(z)(y)=\frac{2}{3}(69)=46\ units

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