convert 8.132132132... to a rational expression in the form of a fraction

Answers

Answer 1

Let x = 8.132132132... .

Then 1000x = 8132.132132132... .

Subtracting x from 1000x eliminates the fractional part, leaving you

999x = 8132 - 8 = 8124

Then

x = 8124/999 = 2708/333


Related Questions

"in the table below, Identify the figure,find it's perimeter, and find it's area.". <- that's the question​

Answers

Answer:

✔️Quarter circle

✔️Area = 38.5 cm² (nearest tenth)

✔️Perimeter = 25.0 cm (nearest tenth)

Step-by-step explanation:

✔️The figure given is a ¼ circle

Radius is given as = 7 cm

✔️Area = ¼(πr²)

Plug in the value of r

Area = ¼(π*7²)

Area = ¼(π*49)

Area = 38.5 cm² (nearest tenth)

✔️Perimeter = ¼(2πr) + 2r

Plug in the value of r

Perimeter = ¼(2*π*7) + 2(7)

Perimeter = ¼(14π) + 14

Perimeter = 25.0 cm (nearest tenth)

Raelynn and Kiara are both getting their nails done today. Raelynn gets her nails done every 9 days. Kiara gets her nails done every 12 days. In how many days will they be at the nail salon on the same day again?

Answers

Answer: The answer  is 4 /3  .

  You need to make the numbers 12 and 9 into a fraction like this 12 /9 and go to a calculator on a website that is not blocked and enter 12 /9 .  the calculator on the website will show the answer of the problem . If  you working this problem , the answer is 4 /3 . you need  put the fraction first before will answer appears  . thank you for asking for question .  

(10 POINTS) Given the following formula, Solve for a.
S= a+b+c/2

A. A= s- b+c/2
B. A= 2s - b + c
C. A= 2s - b - c
D. A = s - b-c/2

Answers

Answer:

C. a = 2s - b - c

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of Equality

Step-by-step explanation:

Step 1: Define

[tex]\displaystyle s = \frac{a + b + c}{2}[/tex]

Step 2: Solve for a

Multiply 2 on both sides:                     [tex]\displaystyle 2s = a + b + c[/tex]Subtract b on both sides:                    [tex]\displaystyle 2s - b= a + c[/tex]Subtract c on both sides:                    [tex]\displaystyle 2s - b - c = a[/tex]Rewrite:                                                [tex]\displaystyle a = 2s - b - c[/tex]

need some help!
help giving 10 points ​

Answers

Answer:

The remaining lenghts are [tex]x = 20.364\,cm[/tex] and [tex]y = 12.925\,cm[/tex].

Step-by-step explanation:

Given that there are two triangles opposite to each other and between two parallel lines, then both are similar, meaning than following relationships exist:

[tex]\frac{AC}{CD} = \frac{BC}{CE} = \frac{AB}{DE}[/tex] (1)

If we know that [tex]AC = 11\,cm[/tex], [tex]CD = 28\,cm[/tex], [tex]BC = 8\,cm[/tex] and [tex]DE = 32.9\,cm[/tex], then the missing lengths are, respectively:

[tex]\frac{11\,cm}{28\,cm} = \frac{8\,cm}{x}[/tex]

[tex]x = \frac{(28\,cm)\cdot (8\,cm)}{11\,cm}[/tex]

[tex]x = 20.364\,cm[/tex]

[tex]\frac{11\,cm}{28\,cm} = \frac{y}{32.9\,cm}[/tex]

[tex]y = \frac{(11\,cm)\cdot (32.9\,cm)}{28\,cm}[/tex]

[tex]y = 12.925\,cm[/tex]

The remaining lenghts are [tex]x = 20.364\,cm[/tex] and [tex]y = 12.925\,cm[/tex].

claire is 120cm tall. her mum is 160cm tall. how much shorter is claire than her mum​

Answers

40 cm shorter because 160-120=40cm

i thought of a number, increased it by nine, and then multiplied by 6. the resulting number was 282. what was my number

Answers

Answer:

n+9)6=282

n+9=47

n=38

Step-by-step explanation:

Answer:

38

Step-by-step explanation:

282/6=47

47-9=38

The expression 2.4x−3.9y−1.2x+ay is equivalent to 1.2x+1.2y.
What is the value of a?

Answers

The value of a from the given mathematical expression is 5.1.

Given the following data:

[tex]2.4x-3.9y-1.2x+ay[/tex][tex]1.2x+1.2y[/tex]

To determine the value of a:

How to solve these mathematical expressions.

In this exercise, you're required to solve for the value of a from the given mathematical expression. Since the two (2) mathematical expressions are equivalent (equal), we would go ahead to equate them as follows:

[tex]2.4x-3.9y-1.2x+ay = 1.2x+1.2y[/tex]

Simplifying the equation, we have:

[tex]2.4x-3.9y-1.2y+ay-1.2x-1.2x = 0 \\\\2.4x-5.1y+ay-2.4x = 0\\\\-5.1y+ay=0\\\\ay=5.1y[/tex]

a = 5.1

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can someone pls help!!
i need this in in 5 minutes!

Answers

Answer:

48x²

Step-by-step explanation:

Area of rectangle=(a×b)

=8x×6x

=48x²

5
(a)
Let u and v be non-zero vectors such that v is a unit vector. Show that |u•v|<|u|.When does
equality occur? Explain your reasoning.
[3]
(b)
Show that if x and y are non-zero parallel vectors, then X×Y=0.
[2]
(c)
Referred to the origin o, points A and B have position vectors a and b respectively. Let C be a
variable point with position vector 2(a - b). Show that the area of AABC is independent of 2. [2]​

Answers

Answer:

5

(a)

Let u and v be non-zero vectors such that v is a unit vector. Show that |u•v|<|u|.When does

equality occur? Explain your reasoning.

[3]

(b)

Show that if x and y are non-zero parallel vectors, then X×Y=0.

[2]

(c)

Referred to the origin o, points A and B have position vectors a and b respectively. Let C be a

Which equation represents a proportional relationship?

1. Y=x+3

2. Y=x-9

3. Y=7x

4. Y=4x+1

Answers

I think the answer is number two

Pls help me with number 20 and you get 5 star and brainliest

Answers

Answer:

it is equal

Step-by-step explanation:

because they both have 90 86 and 84

The mean number of patients admitted per day to the emergency room of a small hospital is 3. If, on any given day, there are only 8 beds available for new patients, what is the probability that the hospital will not have enough beds to accommodate its newly admitted patients?

Answers

i think there are some mistakes in the question, Please check once again! :)

What is the missing reason in the proof?



Prove –(–y – x) – x = y
Statements Reasons
–(–y – x) – x = –[–y +(–x)] – x Definition of subtraction
–[–y +(–x)] – x = y + x – x Opposite of a sum property
y + x – x = y + x + (–x) Definition of subtraction
y + x + (–x) = y + [x + (–x)] Associative Property of Addition
y + [x + (–x)] = y + 0 Additive Inverse Property
y + 0 = y ________________________



Additive Identity Property


Opposite of a Sum Property


Additive Inverse Property


Symmetric Property

Answers

Answer: the answer is additive identity property i just took the test

Step-by-step explanation: i hope this helps

What is the Estimate of 469.4 ÷ 62?

Answers

The value of the given division 469.4 ÷ 62 will be 7.57.

What is the arithmetic operation?

In mathematics, the arithmetic operation has four main operators such as addition, subtraction, multiplication, and division.

The symbol of + represents addition.

The symbol of - represents subtraction

The symbol of × represents multiplication

The symbol of ÷  represents division.

Given the division,

469.4 ÷ 62

⇒ 7.570967742

Rounded to the nearest tenth decimal place

⇒7.57

Hence "The resultant of the 469.4 ÷ 62 is 7.57 ".

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Convert to a 4/9 to a decimal?
Group of answer choices

4.9

0.49

0.444

0.494949

Answers

Answer:

0.444

Step-by-step explanation:

use the fraction bar as a division sign and solve the problem!

There are 17 more boys than girls at Juab Junior
High School. If there are a total of 981 students
there, how many students are boys?​

Answers

It’s 499 bc 499 plus 482 is 981

PLEASE HELP ME WITH THIS!!!!!!

Answers

Answer:

[tex]\boxed{\pink{\bf Yes \ \angle L = \angle O . }}[/tex]

Step-by-step explanation:

A figure is given to us in which ML = MO . And we have to Prove ∆ MLN [tex]\cong[/tex] ∆ MON .

Hence here , in ∆ MLN & ∆ MON ,

ML = MO ( given )LMN = MON ( Given ) MN = MN ( Common)

Hence by SAS congruence condition

[tex]\boxed{\red{\bf \triangle MLN \cong \triangle MON}}[/tex]

____________________________________

(ii) Yes ∠ L = ∠ O will be equal to each other .( by cpctc )

Extra Information :-

The congruence conditions for two ∆s are :-

1) SAS ( Side Angle Side )

→ Two triangles are said to be congruent by SAS if two respective sides of the two triangles and the included angle between two sides are equal.

2) AAS ( Angle Angle Side )

→ Two triangles are said to be congruent by AAS if two angles and one side of triangle is congruent to other two angles and one side of the triangle .

3) SSS ( Side Side Side )

→ Two triangles are said to be congruent by SAS if all the three sides of one triangle is equal to three sides of the other triangle.

4) RHS ( Right Hypotenuse Side )

→ In two right-angled triangles, if the length of the hypotenuse and one side of one triangle, is equal to the length of the hypotenuse and corresponding side of the other triangle, then the two triangles are congruent.

A track coach is gathering data on the stride length of each of her 52 team members when running a distance of 500 meters. The population mean is 62.95 inches with a standard deviation of 5.65 inches.


What is the standard error of the sample mean? Round your answer to the nearest hundredth.


The standard error of the sample mean is approximately ______.

Answers

Answer:

The standard error of the sample mean  (S.E) = 0.7835

Step-by-step explanation:

Explanation:-

Given mean of the Population = 62.95 inches

Given standard deviation of the Population = 5.65 inches

The standard error of the sample mean is determined by

                  [tex]S.E = \frac{S.D}{\sqrt{n} }[/tex]

                [tex]S.E = \frac{5.65}{\sqrt{52} } = 0.7835[/tex]

The standard error of the sample mean  is approximately (S.E) = 0.7835.

What is the standard error?

It is an estimate of the standard deviation of the sampling distribution. It measures the variability of a considered sample statistic.

Supopse that we're given that:

Population standard deviation =[tex]\sigma[/tex]

Size of sample we're working on = n

Then, the standard error can be calculated as:

[tex]SE = \dfrac{\sigma}{\sqrt{n}}[/tex]

where SE denotes the standard error.

A track coach is gathering data on the stride length of each of her 52 team members when running a distance of 500 meters.

The population means is 62.95 inches with a standard deviation of 5.65 inches.

The mean of the Population = 62.95 inches

The standard deviation of the Population = 5.65 inches

The standard error of the sample mean can be determined by

[tex]= \dfrac{Standard deviation }{\sqrt{sample size}}\\\\\\= \dfrac{5.65 }{\sqrt{52}}\\= 0.7835140[/tex]

                 

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help me plz i need to do this

Answers

which question do you need answered or both?

Solve for X: 9 (4 - x) = 2 (x + 7)

Thank you for your time and assistance.

Answers

9 x 4 = 36, 9 x X= 9x
2 x X= 2x 2 x 7 = 14
36 - 9x = 2x + 14
+ 9x +9x
36= 11x + 14
-14 -14
22= 11x
—- —-
11x 11x

x = 2

hope that made sense

Answer:

2.0909=x

Step-by-step explanation:

9 (4 - x) = 2 (x + 7)

(9*4)-(9*x)=(2*x)+(2*7)

37-9x=2x+14

23=11x

23/11

2.0909=x

I GIVE BRAINLIEST

Points A and B have opposite x-coordinates but the same y-coordinates.

On a coordinate plane, point A is 2 units to the left and 3 units up. Point B is 2 units to the right and 3 units up.

How many units away are each of the points from the y-axis?

Answers

Answer:2

Step-by-step explanation:toke the test

The number of units away from each of the points from the y-axis will be 2.

What is the distance between two points?

It is the measure of distance between the two points and is known as length. The length is measured in meters generally.

Let one point be (x, y) and another point be (h, k).

Then the distance between the points will be

D² = (x - h)² + (y - k)²

The points are given below.

A(-2, 3) and B(2, 3)

The coordinate of the points that lie on the y-axis is (0, 3).

Then the distance from point A will be given as,

D² = (-2 + 0)² + (3 - 3)²

D² = 4

D = 2

Then the distance from point B will be given as,

D² = (2 + 0)² + (3 - 3)²

D² = 4

D = 2

The number of units away from each of the points from the y-axis will be 2.

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What is the largest number that is a factor of both 12 and 20?

Answers

The largest number is 4

Li is making beaded necklaces. for each necklace, she uses 25 spacers, plus 9 beads per inch of necklace length. write an equation to find how many beads Li needs for each necklace, where x is the length, in inches, of the necklace

Answers

Given that Li is making beaded necklaces for each necklace, she uses 27 spacers, plus 5 beads per inch of necklace length.

The equation to find how many beads Li needs for each necklace can be obtained as follows:

A. The input variable is the number of inches of the necklace length (x).

B. The output variable is the number of beads Li needs for each necklace (y).

C. The required equation is given by

y = 5x

BRAINLIEST
Which measurements could NOT represent the side lengths of a right triangle?

Answers

Answer:

c

Step-by-step explanation:

10 is to high compared to 6

11. Solve the linear inequality.

- 17x + 2 < - 10x - 19

a. x > - 3
b. x < - 3
c. x > - 1
d. x < 3
e. x > 3

Answers

Answer:

Your answer is E

Step-by-step explanation:

Here you go mate

Step 1

-17x+2<-10x-19  Equation/Question

Step 2

-17x+2<-10x-19  Simplify

-7x<-21

Step 3

−7x<−21 Use 7 to divide

answer

So therefore x>3

FRQ 2

At a particular coffee shop, 92% of customers order a beverage, 3% of customers order food alone (order food and not a beverage), and 12% of customers order food and a beverage. Suppose we randomly select a customer. Let B = the customer orders a beverage and F = the customer orders food.


a) What is P(F)? Interpret this value in context.


b) What is the probability that the customer orders food given that they order a beverage? Write this event in symbolic form and find the probability.


c) If 180 customers are randomly selected, how many of them can we expect to order neither food nor a beverage? Justify your response.

Answers

Answer:

a) P(F) = 0.15

b) P(F/B) =  0.13

c) 5% customers order neither food not beverage.

Further explanation is in the explanation section

Step-by-step explanation:

Solution:

Data given:

B = The customer orders a beverage

F = The customer orders food.

F + B = The customers order food and a beverage.

Percentage share:

F = 3%

B = 92%

F + B = 12%

a)

So, the Probability of B, the customer orders a beverage will be:

P(B) = 92% = 0.92

Probability of (F+B), the customers orders food and beverage will be:

P(F ∩ B) = 12% = 0.12

And we know that, 3% customers order food alone so,

P(F) - P(F ∩ B) = 3% = 0.03

So,

P(F) = (P(F) - P(F ∩ B)) + P(F ∩ B)

P(F) = 0.03 + 0.12

P(F) = 0.15

It means that 15% customer order food only.

b) Probability that the customer orders food given that they order a beverage.

P(F/B) =  (Probability that the customer orders food given that they order a beverage.)

P(F/B) = P(F∩B)/P(B)

P(F/B) = 0.12/0.92 = 0.13

P(F/B) =  0.13

Symbolic form of the required probability is = P(F/B)

c) If 180 customers are randomly selected, how many of them can we expect to order neither food nor a beverage?

Probability of ordering food and beverage will be:

P(F U B)

So,

Probability of ordering neither food nor beverage will be = 1 - P(F U B)

And,

P(F U B) = P(F) + P(B) - P(F ∩B)

P(FUB) = 0.15 + 0.92 - 0.12

P(FUB) = 0.95

Probability of ordering neither food nor beverage will be = 1 - P(F U B)

Probability of ordering neither food nor beverage will be = 1 - 0.95

Probability of ordering neither food nor beverage will be = 0.05

Hence, 5% customers order neither food not beverage.

So, we have selected 180 random people so, 5% of 180 =

number of people order neither food  nor beverage = 5/100 x 180

number of people order neither food  nor beverage = 9 people

It means we can expect out of 180 people, 9 people will not order food or beverage.

Which object has volume?
a bottle of orange paint
a soccer pitch
a playing card
a stop sign

Answers

Answer:

All of them but the biggest is soccer pitch

Step-by-step explanation:

Volume is how much something takes up of space.

The ratio of boys to girls in Ms. Reedus's classroom is 2 to 3. There are 18 girls in the classroom. What is the total number of students in Ms. Reedus's class?

Answers

Answer: The final answer is 30.

Step-by-step explanation: The question says the ratio is 2 boys : 3 girls. There are 18 girls. Well, how did you get from 3 to 18? You multiply by 6. But whatever you do to the denominator you have to do with the numerator. So, multiply 2 and 6. That gives you 12 boys and 18 girls. Adding 12 and 18 gives you 30. Therefore, there are 30 students in the whole class.

Simplify and Factorise a(a + b - c) - bc

Answers

[tex] {2a}^{2} + ab - ac - bc[/tex]

Step-by-step explanation:

[tex] = a(a + ab - c) - bc[/tex]

[tex] = {a}^{2} + {a}^{2} + ab - ac - bc[/tex]

[tex] = {2a}^{2} + ab - ac - bc[/tex]

can someone help me algebra 1

Answers

Yes I can but what’s the question???
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