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3 years ago

How to simplify 0.111111111 repeating as a fraction

2 answers:

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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Please please please help me I’ll give brainly

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

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

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

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

$x=320,-520$

We know that the side length of a park cannot be negative. So, the only possible value of x is 320.

Therefore, the most direct method to solve the given equation is splitting the middle term and the side length of the current square park is 320 meters.

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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.

2. we take a point C at this stage. That will be one endpoint of the new line section, either below or above AB.

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.

6. We now draw a rough arc without adjusting the compass's settings. we add a point D oh the arc . The new line segment will be formed by this.

7. From C, draw a line to D;CD thus formed is equal to AB.

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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11 months ago

X + 4/5 =11 whats the value of x in simplest form

Tresset [83]

X= 11-4/5
x= 51/5 or 10.2

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3 years ago

The table shows the number of cell phone towers a

Olin [163]

Answer:

The correct option is;

B. Yes. The ratios of towers to customers (thousands) are all equivalent to a unit rate of 52 Towers/(Thousand customers)

Step-by-step explanation:

The given data can be presented as follows;

Cell Phone Towers

Customer (thousands) ${}$ Towers

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;

273 Towers/(5.25 thousands customers) = 52 Towers/(Thousand customer)

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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3 years ago