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Ivanshal [37]
2 years ago
11

Triangle J K L is similar to triangle P Q R ..

Mathematics
1 answer:
drek231 [11]2 years ago
8 0

Answer:

t = 7.5

Step-by-step explanation:

PQ and JK are corresponding sides.

QR and KL are corresponding sides.

\dfrac{PQ}{JK} = \dfrac{QR}{KL}

\dfrac{25}{5} = \dfrac{t}{1.5}

5t = 25 \times 1.5

t = 5 \times 1.5

t = 7.5

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Sixty students got off a school bus. 30% of them were wearing college
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Answer:

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Step-by-step explanation:

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A pan has an original price of $32 but is marked down by 15 percent. Which equation shows the new price of the price
sergejj [24]
We suggest, that the number 32 is 100% - because it is the output value of the task. 
<span>We suggest, that x is the value that we are looking for. </span>
<span>3. If 32 is 100%, so we can jot it down as 32=100%. </span>
<span>4. We know for sure, that x is 15% of the output value, so we can jot it down as x=15%. </span>
5. Now, these are the equations are we have.
1) 32=100%
2) x=15%
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32/x=100%/15%
6. Now we just have to work out the equation, and we'll get the answer that we want.

7. Answer for what is 15% of 32

32/x=100/15
<span>(32/x)*x=(100/15)*x       - </span>multiply both sides of the equation by x
<span>32=6.66666666667*x       - </span>divide both sides of the equation by (6.66666666667) to get x
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<span>4.8=x </span>
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8 0
3 years ago
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Convert the following repeating decimal to a fraction in simplest form .31 with the 1 repeating
bekas [8.4K]

Answer:

14/45

Step-by-step explanation:

So we have the fraction:

0.3\bar1=0.31111...

We can do this algebraically. Follow to following steps:

Let's let this number equal to n. Thus:

0.31111...=n

Since there is only 1 digit repeating, let's multiply everything by 10. So:

3.1111...=10n

Now, subtract n from both sides:

3.1111-n=10n-n

On the left, substitute the number for n. On the right, combine like terms:

3.1111...-0.31111...=9n

All of the 1s will cancel. So:

3.1-0.3=9n

Subtract:

2.8=9n

Divide both sides by 9:

n=2.8/9

Remove the decimal by multiplying both sides by 10:

n=28/90

Reduce:

n=14/45

And we're done!

Use a calculator to check:

14/45\stackrel{\checkmark}{=}0.31111...

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