If .111... = 1/x, what is x?
Correct answer will get brainliest

Answers

Answer 1

Answer:

x = 9

Step-by-step explanation:

When 1 is divided by 9, we understand it is a non-terminating decimal number because the denominator consists of other number other than 2 and 5.

Now, let's get into how to solve for x :

Divide both sides by .111... :

1/.111... x .111... = 1/.111 x 1/x

1 = 1/(x)(.111....)

Multiply both sides by x :

1(x) = (x)/(x)(.111...)

x = 1/.111...

x = 9 (nearest whole number)

Answer 2

Answer:

[tex]\sf 0.\dot{1}=\dfrac{1}{9}[/tex]

Therefore, x = 9

Step-by-step explanation:

To convert 0.11111... to a fraction:

Equation 1

Let:   y = 0.11111...

Equation 2

Multiply both sides by 10:

⇒ y · 10 = 0.11111... · 10

⇒ 10y = 1.11111...

Subtract Equation 1 from Equation 2 to eliminate the recurring digits after the decimal:

⇒ 10y - y = 1.1111... - 0.11111...

⇒ 9y = 1

Divide both sides by 9

[tex]\implies \sf y=\dfrac{1}{9}[/tex]

Therefore,

[tex]\sf 0.\dot{1}=\dfrac{1}{9}[/tex]

So if:

[tex]\sf 0.\dot{1}=\dfrac{1}{x}[/tex]

Then x = 9


Related Questions

Parville surveys every 15th person in the
town to see if there is support for a new
library and there are 40,161. How many people are surveyed?

Answers

Answer:

2677.4

Step-by-step explanation:

40161/15

What is the mean of this data set? If necessary, round your answer to the nearest tenth. 11,16,22,28,29,30,31,34,37,38,43,49,56,78,99

Answers

Answer:

To find the mean of a given data set, add up all the values then divide by how many numbers ...

Step-by-step explanation:

HELP PLS question is in picture along with answers

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In the given diagram, the measure of angle B (m∠B) is 40°

Exterior angle theorem

From the question, we are to determine the measure of angle B

By the exterior angle theorem,

The exterior angle of a triangle is equal to the sum of the two opposite interior angles.

Then, we can write that

m∠A + m∠B = 155° (Exterior angle theorem)

115° + m∠B = 155°

m∠B = 155° - 115°

m∠B = 40°

Hence, the measure of angle B (m∠B) is 40°

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Determine the area, in square units, of rectangle ABCD.
Enter the area of rectangle ABCD.

Answers

The area of rectangle ABCD with side 6 unit by 8 units is  48 unit²

What is an equation?

An equation is an expression that shows the relationship between two or more variables or numbers.

From the rectangle ABCD:

AB = 6 units, BC = 8 units

Hence:

Area of ABCD = 6 units * 8 units = 48 unit²

The area of rectangle ABCD with side 6 unit by 8 units is  48 unit²

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Work out th
e value of x x y x z

Answers

Step-by-step explanation:

simple x×x×y×z=x^2×yz=x^2yz

Need help due tmr this is linear relationships

Answers

Sunrise Hotel: $30 + $90 = $120
Bright Eyes Hotel: $105
(5 Nights)
Sunrise Hotel: $120 x 5 = $600
Bright Eyes Hotel: $105 x 5 = $525
Difference: $600-$525 = $75

HELP ASAP ILL MAKE YOU THE BRAINIEST
find the value of c

Answers

Answer:  16.2364298 approximately

Work Shown:

tan(angle) = opposite/adjacent

tan(61) = x/9

x = 9*tan(61)

x = 16.2364298 approximately

Your calculator needs to be in degree mode. One quick way to check is to type in something like tan(45) and the result should be 1.

Find the values of the six trig functions for theta on each triangle.

Answers

Step-by-step explanation:

Select four types of data demographers study to make predictions.

birth rate

death rate

employment

income

marriage

migration

pushpa Raj

kgf chapter 2

VOLINCE VOLINCE VOLINCE

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What is the line of symmetry for the parabola whose equation is y=x^2-12x+7

Answers

Answer:

  x = 6

Step-by-step explanation:

The line of symmetry for the parabola written in the form y=ax²+bx+c is given by the equation x=-b/(2a).

__

Comparing your equation to the above form, we see ...

a=1b=-12c=7

Then the line of symmetry is ...

  x = -b/(2a) = -(-12)/(2(1)) = 6

The line of symmetry is x=6.

What is the area of this triangle?
Enter your answer as a decimal in the box. Round only your final
answer to the nearest hundredth.

Answers

Answer: 6.64

Step-by-step explanation:

[tex]A=\frac{1}{2}(4.7)(3.2)(\sin 62^{\circ}) \approx \boxed{6.64}[/tex]

The temperatures for the summer in California are 105, 90, 85, 89, and 100.
What is the range of the temperature

Answers

Answer:

range is subtracting the highest number from the lowest number. so we want to find the difference

Step-by-step explanation:

all you do is 105-85 which is 15.

write the formula of gravitational force between two bodies of mass 'x'and 'y' kept at a distance 'r'​

Answers

[tex]\huge \orange{F =G.\frac{xy}{r^2}}[/tex]

Step-by-step explanation:

Masses of the bodies are x and y

Distance at which they are kept is r

When two bodies are of masses x and y are placed at a distance r then the gravitational force acting on them is given as:

[tex]\huge \purple{F =G.\frac{xy}{r^2}}[/tex]Where G is the gravitational constant.

In ΔDEF, sin D=24/25. What is cos E? [Worth 20 points]

A. 24/25

B. 7/25

C. 25/7

D. 7/24

Answers

The value of cos E is [tex]\frac{24}{25}[/tex]. The correct option is A. [tex]\frac{24}{25}[/tex]

Trigonometry

From the question, we are to determine the value of cos E

From the given information, we have

[tex]sin \ D=\frac{24}{25}[/tex]

By SOH CAH TOA

Opposite = 24

Hypotenuse = 25

Thus, considering the diagram

/EF/ = 24

and

/DE/ = 25

By SOH CAH TOA

[tex]cos \ E =\frac{/EF/}{/DE/}[/tex]

∴ [tex]cos \ E =\frac{24}{25}[/tex]

Hence, the value of cos E is [tex]\frac{24}{25}[/tex]. The correct option is A. [tex]\frac{24}{25}[/tex]

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help help help help help

Answers

Answer is 72,000 (cm ^3)
L x W x H
60 x 40 x 30

Sketch the graph of y= (x-3)2 - 25, then select the graph that corresponds
to your sketch.

Answers

The graph of the given quadratic equation is graph C.

How to sketch the quadratic equation?

Remember that for a quadratic equation with a vertex (h, k), the vertex form is given by:

[tex]y = a*(x - h)^2 + k[/tex]

Where a is the leading coefficient, in this case we have a = 1.

Here we have:

[tex]y = (x - 3)^2 - 25[/tex]

So the vertex is at (3, -25).

From that function we can also get the y-intercept, that is given by evaluating the function in x = 0, so we get:

[tex]y = (-3)^2 - 25 = -16[/tex]

So this function passes through (3, -25) and (0, -16). The sketch can be seen below.

Notice that from the given options only the third graph intercepts the y-axis on the negative region, so from that, we conclude that the third graph is the correct option.

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If your car has a 40 liter gas tank and your car can achieve 26 mpg (miles per gallon), how far can you travel on a full tank

Answers

Answer:

270.4 miles

Step-by-step explanation:

First we will convert the 40 liter gas tank into gallons.

There are about 0.26 gallons in 1 liter, so we can find how many gallons are in 40 liters by solving [tex]40 * 0.26[/tex], which equals to [tex]10.4[/tex] gallons.
We can now find how far we can travel on a full tank.

[tex]\mbox{26 miles per gallon } * \mbox{10.4 gallons} = \mbox{270.4 miles}[/tex]

This means we can travel 270.4 miles on a full tank.

That is the answer

- Kan Academy Advance

PLEASE HELP ASAP ILL MAKE YOU THE BRAINIEST Find the area of the rhombus

Answers

Answer:

the answer is 40

Step-by-step explanation:

A = 10 x 8 over 2 which is 40

9=-7x+7x^2 Helppp please

Answers

Answer:

x= 0.21428571428 or x=0.2

Step-by-step explanation:

-7x+7x^2=9  1. simplify 7x^2

-7x+ 7x(7x)=9   2. combine like terms

-7x+49x=9    3. combine like terms

42x=9           4. /42 on both sides

x= 0.21428571428 or x=0.2

What is the solution for p in the equation?
7
p + p + 7 = p +5+4
OAp=1
OB. p=6
OC.
p= -1
OD. p= -6

Answers

Step-by-step explanation:

p + p + 7 = p + 5 + 4

2p + 7 = p + 9

2p - p = 9 - 7

p = 2

What’s the difference in these two questions and why did we divide in one and multiple in one ( also why did we divide by8 in question 2)

Answers

Answer:

they are different in the equation

42 times 12 divided by 4

Answers

Answer:

42×12/4

=42×3

=126

........

42x12 504
_____= ______= 252

2 2


The answer the this question is 252.

Select the correct solution method below, where x represents Kendall’s money

Answers

The correct solution method of Kendall's money is 7x = 98. Divide both sides by 7. Kendall had $14

How to write equation?

x = Kendall's money

Mateo's money = $98

= 7 × x

The equation:

7 × x = 98

7x = 98

x = 98/7

x = $14

Therefore, the correct answer is option B

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pick one of the following sums and investigate these

What happens?
what is the general rule for each sums?
how does the rule work?

3.7+7.3=

6.4+4.6=

9.1+1.9=

5.5+5.5=

Answers

The general rule for each sum is that when you add the tenth term together we will get ten which will make the value an integer. The whole sum is equals to eleven.

How to find the general rule for a sum?

Let's sum the decimal numbers to know the general rule,

Therefore,

3.7 + 7.3 = 11.0

6.4 + 4.6 = 11.0

9.1 + 1.9 = 11.0

5.5 + 5.5 = 11.0

Therefore, the  values added are the reverse of the decimals. example is 3.7 and 7.3 or 6.4 and 4.6.

When you add the tenth term together we will get ten which will make the value an integer

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Sample red box blue standard deviation 3.868 2.933 then complete each statement. the sample size of the session regarding the number of people would purchase the red box, n the sample size of the session regarding the number of people would purchase the blue box n_{2} is the standard deviation of the sample mean differences is approximately

Answers

The confidence Interval is CI = (-1.35, 1.35) and 1.74 is outside of this confidence interval and as such it is statistically significant.

How to find the confidence Interval?

Formula for the confidence interval is:

CI = x' ± z(S.E)

where;

x is the mean

z is the critical value.

S.E is the standard error.

We are told that there is no difference between the population and as such; x = 0.

The confidence level is given as 95%.

z-score at 95% confidence level = 1.96.

Standard deviation of the sample mean differences is 0.69. Thus;

S.E = 0.69.

The confidence interval is:

CI = 0 ± (1.96 * 0.69)

CI = (-1.35, 1.35)

1.74 is outside of this confidence interval and as such it is statistically significant.

Complete question is;

I know that the red box has a mean value of 15.11 and the blue box's mean is 16.83. The difference of sample means is 1.74. The red standard deviation is 3.868 and the blue one is 2.933. the standard deviation of the sample mean differences is 0.69. How do I use all this to construct the interval with no difference between the population means.

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Mieko bought 2 gallons of paint. she used 1/4 of the paint on her bedroom, 3 quarts on the hallway, and the rest of the paint in the living room. how many quarts of paint did mieko use in the living room?

Answers

The number of quarts of paint did mieko use in the living room is A = 3 quarts

Given data ,

Mieko bought 2 gallons of paint. she used 1/4 of the paint on her bedroom, 3 quarts on the hallway, and the rest of the paint in the living room

Now , on simplifying the equation , we get

Two gallons of paint is equal to 8 quarts (2 x 4 = 8)

Mieko used 1/4 of the paint on her bedroom, which is equal to 2 quarts (1/4 x 8 = 2)

She used 3 quarts of paint on the hallway

Thus, Mieko used a total of 2 + 3 = 5 quarts of paint on the bedroom and hallway

Therefore , she used 8 - 5 = 3 quarts of paint in the living room

Hence , the number of quarts is A = 3 quarts

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The histogram shows the results of a survey that asked people how many hours of sleep they get each night. Which
statements are true?

Answers

The true statements are

The mean is near the median.

The mean is the best measure of center.

The five-number summary is the best measure of variation

What is a histogram?

A histogram is used to represent data graphically. The histogram is made up of rectangles whose area is equal to the frequency of the data and whose width is equal to the class interval.

If the mean is greater than the median, the histogram would be skewed to the right. If the mean is less than the median, the histogram would be skewed to the left.

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Find the solutions to the equation below.
Check all that apply.
6x² +7x-5=0
A. x= -2
B. x = 5
C. x = -5/
D. x = 1/1/2
Ex= 1/3
O F.x= -1/3

Answers

x=-5/3 and x=1/2

Step-by-step explanation:

I think you left out some numbers

A rectangle is 29 feet long and 7 feet long. What is the area of this rectangle?

Answers

Answer:   203

Step By Step Explanation: Just multiply the numbers.

Answer:

Area = 203 [tex]ft^{2}[/tex]

Step-by-step explanation:

The area of a rectangle can be found using this equation:

Area = length x width

The length given is 29 feet, and the width is 7 feet.

Let's plug these into the equation:

Area = (29)(7) = 203 [tex]ft^{2}[/tex]

Therefore, the area of the rectangle is 203 [tex]ft^{2}[/tex].

Hope this helps! If you have any questions about my work, please let me know down in the comments!

What is the sum of the interior angles of a regular polygon with 12 sides?
A. 1260
B. 1800
C. 2160
OD. 360

Answers

The sum of the interior angles of a regular polygon of 12 sides is 1800°

What is a polygon?

A polygon is a planar figure characterized by a limited number of straight-line segments joined to create a closed polygonal chain in geometry. A polygon is defined as a bounded planar region, a bounding circuit, or both.

The sum of the all the interior angles of a polygon with 'n' number of sides is given by the formula,

Sum of all the angles = (n-2) × 180°

Since the number of sides in the polygon is 12, the sum of the angles will be,

Sum = (12-2) × 180° = 10 × 180° = 1800°

Hence, the sum of the interior angles of a regular polygon of 12 sides is 1800°.

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An artist is designing a website to showcase his 15-inch-wide paintings. The website will include scaled-down images of the paintings called thumbnails. For ease of viewing and to keep the thumbnail images large enough to show some detail, the artist decides to put three thumbnail images in a row so that any two adjacent images are separated by a space of 40 pixels, as shown in the figure above. If the website is 800 pixels wide, what should be the scaled size (in pixels per inch of painting) of the thumbnails?

Answers

The scaled size of the thumbnails is 16 pixels per inch of painting

How to determine the scaled size?

The given parameters are:

Width = 15 inchesWebsite = 800 pixels

The space between adjacent images is 40 inches.

Given that there are two spaces, the remaining space is:

Remaining = 800 - 2 * 40

Remaining = 720

Given that there are three samples of image, the width of each image is:

Image = 720/3

Divide

Image = 240 pixels

The scaled size is then calculated using:

Scale = Image scale width/actual width

This gives

Scale = 240/15

Evaluate

Scale = 16

Hence, the scaled size of the thumbnails is 16 pixels per inch of painting

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