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Yuri [45]
3 years ago
10

How to simplify 0.111111111 repeating as a fraction

Mathematics
2 answers:
antiseptic1488 [7]3 years ago
6 0
Any numerical repeating pattern can be rationalized...let x=0.111 then:

10x=1.111 and upon taking differences:

10x-x=1.111-0.111

9x=1  then divide both sides by 9

x=1/9

(This method works for converting any repeating numerical pattern to a rational number) 
arlik [135]3 years ago
5 0
Depending on how many times it repeats, and I used 9 1's from your question, the answer would be 1/9.
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Afina-wow [57]

Answer:

I think its the third one

Step-by-step explanation:

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2 years ago
Ann's first option is a plot of land adjacent to a current park.
oksian1 [2.3K]

Given:

The equation for the area of the first option is:

x^2+200x=166400

Where x is the side length of the current square park.

To find:

The side length of the current square park.

Solution:

We have,

x^2+200x=166400

It can be written as:

x^2+200x-166400=0

Splitting the middle term, we get

x^2+520x-320x-166400=0

x(x+520)-320(x+520)=0

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4 0
2 years ago
Which step in the construction of copying a line segment ensures that the new line segment has
Nesterboy [21]

The steps 5 and 6 in the construction of a new line segment  ensures the lengths are equal.

A line segment in geometry has two different points on it that define its boundaries. Alternatively, we may define a line segment as a section of a line that joins two points.

Below are the steps for copying a line segment:

  • 1. Let's begin with a line segment we need to copy, AB.
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  • 3. Now we place the the compass pointer on the point A of line segment  AB.
  • 4. We spread the compass out until point B, making sure that its breadth corresponds to the length of AB.
  • 5. We place the compass tip on the point C created in step 2 without adjusting the compass's width.
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Hence steps 5 and 6 are the steps in the construction of a new line segment which ensures the lengths are equal.

To learn more about line segment visit:

brainly.com/question/25727583

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5 0
11 months ago
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Tresset [83]
X= 11-4/5
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8 0
3 years ago
The table shows the number of cell phone towers a
Olin [163]

Answer:

The correct option is;

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Step-by-step explanation:

The given data can be presented as follows;

Cell Phone Towers

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1) 5.25            {}                          273

2) 6.25            {}                         325

3) 7.25            {}                         377

4) 9.25            {}                         481

From the given data, we have the ratio Towers/Customer (thousands) given as follows;

For 1), we have;

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For 2), we have;

325 Towers/(6.25 thousands customers) = 52 Towers/(Thousand customer)

For 3), we have;

377 Towers/(7.25 thousands customers) = 52 Towers/(Thousand customer)

For 4), we have;

481 Towers/(9.25 thousands customers) = 52 Towers/(Thousand customer)

Therefore, the ratios of towers to customers (thousands) all have the same equivalent unit rate of 52 Towers/(thousand customers).

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