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Dominik [7]
3 years ago
14

Which simplified fraction is equal to 0.17 (7 repeating)

Mathematics
2 answers:
Varvara68 [4.7K]3 years ago
8 0
So here, I would first multiply 0.17777.... (Assume that that's x) by 10, then you get

10x = 1.777777...

And then subtract x from 10x and then you get 1.6.

So that means that 

10x - x = 9x

and 1.7777... - 0.17777... = 1.6

So now to solve for x, divide both sides by 9

To get 1.6/9 = x

Or 16/90 = x

Or 8/45 = x

(That explanation made no sense)
soldi70 [24.7K]3 years ago
5 0

Answer:

\frac{8}{45}

Step-by-step explanation:

We are given that

0.1\bar 7

We have to find the value in fraction of given rational number

Let x=0.1\bar 7

Multiply on both side by 10 then we get

10 x=1.77...

10x=1.6+0.1\bar 7

Substitute the value then we get

10x=1.6+x

10x-x=1.6

9x=1.6

x=\frac{1.6}{9}

x=\frac{16}{90}

x=\frac{8}{45}

Hence, the fraction =\frac{8}{45}

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Step-by-step explanation:

the answer to this question is 410.29

sorry if this is wrong

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2 years ago
There are 110 monkeys at the zoo. They each hug every other monkey. How many hugs were there?
Nutka1998 [239]

Answer:

5995 hugs

Step-by-step explanation:

This is a combination problem: we want to make groups of two monkeys, where a pair of monkey 1 and 2 is the same pair of monkey 2 and 1 (it is the same hug). So, if the total number of monkeys at the zoo is 110, we have a combination of 110 choose 2:

C(110,2) = 110! / (2! * (110-2)!) = 110 * 109 / 2 = 5995

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5 0
3 years ago
Read 2 more answers
What is <br> Sin A?<br> Cos A?<br> Tan A?
Katyanochek1 [597]

Answer:

See explanation

Step-by-step explanation:

\sin A =  \frac{12}{20}  =  \frac{3}{5}  \\  \\  \cos A =  \frac{16}{20}  =  \frac{4}{5}   \\  \\ \tan A =  \frac{12}{16}  =  \frac{3}{4}

6 0
3 years ago
Please help thank you!
ser-zykov [4K]

Answer:

a) 91.4%

b) 37.6%

c) 26.8%

Step-by-step explanation:

For each of these, we'll get a z-score, then use our calculators to find the area using normalcdf (on TI-84, 2nd->VARS->2)

a)  z = (9-6.4) / 1.9 = 1.368

    normalcdf(-999,1.368) = .914 = 91.4%

b) z = (7-6.4) / 1.9 = .316

   normalcdf(.316,999) = .376 = 37.6%

c) normalcdf(.316,1.368) = .268 = 26.8%

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3 years ago
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Galina-37 [17]

It asks to "Find the unit price in dollars per padlock"

The phrasing "dollars per padlock" is the same as "dollars per 1 padlock"

In other words, the teacher wants to know how much 1 padlock costs.

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7/7 padlocks : $23.80/7 .... divide both parts by 7

1 padlock : $3.40

We see that 1 padlock costs $3.40, so the unit cost is $3.40 per padlock

6 0
3 years ago
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