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grigory [225]
3 years ago
12

Help me please :).........

Mathematics
1 answer:
VikaD [51]3 years ago
5 0
C I believe it not so sure
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Whats the answer to that question?
gavmur [86]

Answer:

-0.9090... can be written as \frac{10}{11}.

Explanation:

Any <em>repeating </em>decimal can be written as a fraction by dividing the section of the pattern to be repeated <em>by </em>9's.

We can start by listing out

0.909090... = 9/10 + 0/100 + 9/1000 + 0/10000 + 9/100000 + 0/1000000 + ...

Now. we let this series be equal to x, that is

x = 9/10 + 0/100 + 9/1000 + 0/10000 + 9/100000 + 0/1000000 + ...

Now, we'll multiply both sides by 100 .

100x = 90 + 0 + 9/10 + 0/100 + 9/1000 + 0/10000 + ...

Then, subtract the 1st equation from the second like so:

100x = 90 + 0 + 9/10 + 0/100 + 9/1000 + 0/10000 + 9/100000 + 0/1000000 + ...

-x = - 9/10 - 0/100 - 9/1000 - 0/10000 - 9/100000 - 0/1000000 - ...

And we end up with this:

99x=90

Finally, we divide both sides by 99 in order to isolate x and get the fraction we're looking for.

x=\frac{90}{99}

Which can be reduced and simplified to

x=\frac{10}{11}

Hope this helps!

4 0
3 years ago
I need help answering this question
Alecsey [184]

Answer:

I'm pretty sure it's D, sorry if I'm wrong

Step-by-step explanation:

3 0
2 years ago
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Is 2 rational or Irrational
tigry1 [53]

Answer:

Yes, 2 is a rational number.

4 0
3 years ago
Plz help what do i do and how do i do this its due tomorrow
Aleks [24]
In order to find the area, you multiply the width (7), height (6) and length (12). But the problem states that the height has changed from 6 to 6 minus3, which would be 3. So you multiply 3, 7, and 12.
6 0
3 years ago
Jade says that the absolute value of a number and the opposite of a number is the same thing. Is Jade correct? Use examples to h
avanturin [10]

Answer:

No, the absolute value of a number is different from the opposite.

Step-by-step explanation:

For example, the absolute value of 4 is 4.

l4l = 4

But the opposite of 4 is -4.

Absolute value is ALWAYS positive, but the opposite of a positive number is a negative number.

8 0
3 years ago
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