How can the decimal 1.245 repeating be written as a quotient of two integers?

Answers

Answer 1

Answer:

1244/999

Step-by-step explanation:

So we have 1.245245245245.... which we call x.

If we times this by 1000 (because 3 digits repeat) we get

1000x = 1245.245245245....

Subtract x from both sides:

999x = 1245.245245245... - 1.245245... = 1244

This means that x = 1244/999

This fraction cannot be simplified so this is the answer.

If you want to include the 1 in the repeating (1.2451245...) do the same but the sequence is 4 digits so times by 10000 instead.


Related Questions

If the area of the rectangle to be drawn is 20 square units, where should points B and D be located if they lie to the right of points A and C?

Answers

The question is incomplete. Here is the complete question.

If the area of the rectangle to be drawn is 20 square units, where should points B and D be located if they lie to the right of points A and C?

B(1, 3) and D(1, −2)

B(3, 3) and D(3, −2)

B(2, 3) and D(2, −2)

B(1, 2) and D(1, −3)

Answer: B(1, 3) and D(1, -2)

Step-by-step explanation: Area of a rectangle is the multiplication of its width and its length.

The rectangle to be has length, or distance from point A to point C, of 5 units.

For the area to be 20, width has to be 4.

Point B will be 4 units to the right of point A, which means:

[tex]x_{B}=x_{A}+4[/tex]

Point A has coordinates ( -3, 3), then:

[tex]x_{B}=-3+4[/tex]

[tex]x_{B}=1[/tex]

Because the points is "moved" to the right, instead of up or down, y-coordinate stays the same:

[tex]y_{B}=y_{A}[/tex]

[tex]y_{B}=3[/tex]

Point D will be 4 units to the right of point C:

[tex]x_{D}=x_{C}+4[/tex]

Coordinates of point C are ( -3, -2):

[tex]x_{D}=-3+4[/tex]

[tex]x_{D}=1[/tex]

Because a rectangle has a pair of sides parallel to each other, D's y-coordinate will also be the same:

[tex]y_{D}=y_{C}[/tex]

[tex]y_{D}=-2[/tex]

Coordinates of points B and D that makes rectangle ABCD have area of 20 square units are (1, 3) and (1, -2), respectively.

A bakery sells chocolate cupcakes and mocha cupcakes. It sold 500 cupcakes in a day, and 16% of them were mocha. How many of the cupcakes sold that day were chocolate?

Answers

Answer:

Your answer

420 were chocolate

Mark it as Brainlist. Follow me for more answer.

Step-by-step explanation:

Pls help
Given the equations, identify which way the parabola opens by matching an equation on the left with a term on the
right.

Answers

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

When the parabola has a y^2 term it opens horizontally. (Positive and negative values of y give the same value of x.)

When the parabola has an x^2 term it opens vertically. (Positive and negative values of x give the same value of y.)

The sign is negative when the opening is down or to the left.

__

The opening directions are shown in the attachment.

Answer:

look below

Step-by-step explanation:

i did it

Compare the number of friends at the beginning of a month and at the end of that month if it decreased by 60 and increased by 80

Answers

Answer:

plus 20 or positive

Step-by-step explanation:

-60+80= 20

positive

The sum of my number and two and two thirds is seven. What is my number?

7 is in one box. Below it are 2 boxes. N is in one. 2 and 2-thirds is in the other.

Check all that apply.
The variable, n, represents the unknown number.
The unknown number and 2Two-thirds equals 7
4One-third+2Two-thirds= 7
9Two-thirds- 2Two-thirds= 7
n = 4One-third

Answers

Answer:

1,2,3,5

Step-by-step explanation:

Answer:

abce

Step-by-step explanation:

Is the relation below a function?
-3
-1
-1
3
у
0
1
2
3

Answers

Answer:

I believe it would be "y"

Step-by-step explanation:

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Answer:

I would say no!

Step-by-step explanation:

cause we cannot determine the rule of mapping so y is no an image of x

Put the following equation of a line into slope-intercept form, simplifying all
fractions.
2x - y = 4

Answers

Answer:

مرحبًا ، سأكون سعيدًا لمساعدتك في حبك في العمل ، وأريد المزيد من التفاصيل ، وسأبذل قصارى جهدي لإرضائك

Step-by-step explanation:

Since Beth was born, the population of her town has increased at a rate of 850 people per year. On Beth's 9th birthday, the total population was nearly 307,650, Write and solve a linear equation to find the population on Beth's 16th birthday.


I only need the equation pls help

Edit: the equation needs to be in slope intercept form

Answers

Answer:

editor edit

37,650

Step-by-step explanation:

37650

what’s a non example of a slope

Answers

Answer:

a leveled line or a straight line

8.

Find the slope of the line.

A. 0
B. -2
C. Undefined
D. 2

Answers

Answer:

C. Undefined

Step-by-step explanation:

Input Data :

Point A  

(

x

A

,

y

A

)

= (2, 5)

Point B  

(

x

B

,

y

B

)

= (2, -2)

Objective :

Find the slope of a line that passes through points A and B.

Formula :

Slope

 

m

=

y

B

y

A

x

B

x

A

Solution:

Slope

 

m

=

2

5

2

2

=

7

0

m = -INF

Answer:

The answer is C (Undefined)

Step-by-step explanation:

A vertical slope is undefined because it rises and never runs up/down is rise and left/right is run. Rise/Run. 4/0. Four divided by zero is undefined while 0 divided by 4 is zero.

Select the correct answer. One factor of the polynomial 213 3r2 – 3x + 2 is (t – 2), which expression represents the other factor, or factors, of the polynomial? A. (21 + 1) (1 - 1) B. (2r2 + 1) OC. (212 - I + 1) OD. (2x - 1)(1 + 1)​

Answers

Answer:

(x - 2)(x + 1)(2x -1)

Step-by-step explanation:

We use synthetic division as a tool for factoring the given expression.  The coefficients of the terms given are {2, -3, -3, 2}.  If x - 2 is a factor of this expression, then 2 is a root.  We perform synthetic division as follows:

2   /    2     -3      -3     2

                  4       2     -2

    -------------------------------

          2      1        -1      0

Next, we determine whether or not (2x - 1)(x + 1) represents the remaining factor(s).  Using -1 as divisor, we get:

-1    /     2     1     -1

                   -2    1

     ---------------------

             2     -1     0

Since the remainder is zero, x + 1 must be a factor and (2x - 1) the third factor.  Answer D is correct.

The solution is, (x - 2)(x + 1)(2x -1), is the expression represents the other factor, or factors, of the polynomial.

What are Polynomials?

Polynomials are sums of k-xⁿ terms, where k can be any number and n can be any positive integer.

here, we have,

We use synthetic division as a tool for factoring the given expression.  The coefficients of the terms given are {2, -3, -3, 2}.  If x - 2 is a factor of this expression, then 2 is a root.  We perform synthetic division as follows:

2   /    2     -3      -3     2

                 4       2     -2

   -------------------------------

         2      1        -1      0

Next, we determine whether or not (2x - 1)(x + 1) represents the remaining factor(s).  Using -1 as divisor, we get:

-1    /     2     1     -1

                  -2    1

    ---------------------

            2     -1     0

Since the remainder is zero, x + 1 must be a factor and (2x - 1) the third factor.  Answer D is correct.

Hence, The solution is, (x - 2)(x + 1)(2x -1), is the expression represents the other factor, or factors, of the polynomial.

Know more about Polynomials here:

brainly.com/question/2833285

#SPJ7

Having trouble solving this:

Answers

Answer:

The answer is 24*(1/5)........

Answer:

the answer is D) 121/500

Step-by-step explanation:

Two triangles can be formed with the given information. Use the Law of Sines to solve the triangles
A = 59°, a = 13, b = 14

Answers

angle A = 59o and sides a = 13, b = 14.
Lets find remaining angles are B and C and the remaining side c.
Law of sines : a/sinA = b/sinB ⇒ sinB = (b*sinA)/a
sinB = (14*sin59o)/13 = (14*0.857167)/13 ≅ 0.923
B ≅ sin-1(0.923) ≅ 67.384.
There are two triangles, B₁ = 67.4 and B₂ = 180 - 67.4 = 112.6
find the angle c for B₁ = 67.4
A+ B +C = 180.
Angle C = 180 - (59 + 67.4) = 53.6.
Law of sines : b/sinB = c/sinC ⇒ c = b*sinC/sinB
c = (14)*sin(53.6)/sin(67.4) = (14)*(0.805)/(0.923) = 12.21.

find the angle c for B₂ = 112.6
A+ B +C = 180.
Angle C = 180 - (59 + 112.6) = 8.4.
Law of sines : b/sinB = c/sinC ⇒ c = b*sinC/sinB
c = (14)*sin(8.4)/sin(112.6) = (14)*(0.146)/(0.9232) = 2.27.

Answer:

67.4°, C = 53.6°, c = 12.2; B = 112.6°, C = 8.4°, c = 2.2

a/sinA=b/sinB=c/sinC

a/sinA=13/0.8572=15.1662

sinB=b/a *sinA

sinB=14/13 *sin59=0.9231

B=67.4

B1=90+22.6=112.6

because sin67.4=sin112.6=0.9231

C=180-59-67.4=53.6

C1=180-59-112.6=8.4

c=a* sinC/sinA=13* sin53.6/sin59=12.2

c1=a* sinC1/sin59=13*sin8.4/sin59=2.2

Find two points and slope !

Answers

Answer:

slope = 1

two points: (0,-6) and (6,0)

Step-by-step explanation:

Figuring out the slope:

Since we have the two points, we would need to use the slope formula of:

(y2-y1)/(x2-x1)

So it would be (-6 - 0) divided by (0 - 6) = -6/-6 = 1

slope is 1

Jennifer is four less than three times Toby's age. If Jennifer is 23, then how old is Toby? equation: solution:​

Answers

Answer:

T = Toby

T=(23+4)/3

Step-by-step explanation:

If Jennifer’s age is 4 less than 3 times Toby’s age then Jennifer’s age by three,

T=(23+4)/3

and 3 times that, so we divide

T=(23+4)/3

Then Toby is 9 years of age, and shouldn’t be driving.

Toby is 9 years old. Here’s how:

what 5/8x + 1/2 (1/4x + 10)? ​

Answers

Use photo math it’s free in any telephone

Answer:

3/4x + 5

Step-by-step explanation:

5/8x + 1/2 ( 1/4x + 10) = 5/8x + 1/8x + 5 = 6/8x + 5 = 3/4x + 5

1. What must be multiplied to (x + 1) to obtain (x2 + 4x + 3)?

2. A cube has a side measure of (5x), find the volume of the cube.

3. Find the circumference of a plate if its radius measures (x + 7).

4. A notebook cost (2x + 5) pesos while a pencil cost (x - 7) pesos. What is the total cost
of 5 notebooks and 2 pencils?

5. A box measures (a + 2) cm by (a - 2) cm by 4 cm. Find the volume of the box.

6. The cost of 1 kilo of chicken is (x2 + 8x - 3). How much a 4 kilos of chicken cost?​

Answers

Answer:

[tex]1. x + 3 \\ 2.125 {x}^{3} \\ 3.2\pi(x + 7) \\ 4.12x + 11 \\ 5.4{a}^{2} - 16 \\ 6.4 {x}^{2} + 32x - 12[/tex]

porque el factor común está relacionado con la propiedad distributiva​

Answers

Answer:

El factor común se relaciona con la propiedad distributiva, ya que el factor común corresponde a la agrupación de expresiones comunes en una operación, de manera que éstas lleguen a ser simplificadas

The area of circle can be expressed by the
formula A = ar?where r is a radius of circle.
express radius in terms of area of circle.

Answers

9514 1404 393

Answer:

  r = √(A/π)

Step-by-step explanation:

Solve for r. Do this by dividing by the coefficient of the r² term, then taking the square root.

  A = πr²

  A/π = r²

  r = √(A/π)

Distance=7cm/1yrx1000yr=

Answers

9514 1404 393

Answer:

  70 m

Step-by-step explanation:

Perhaps you want to evaluate the expression:

  [tex]\dfrac{7\text{ cm}}{1\text{ yr}}\cdot 1000\text{ yr}=7000\text{ cm}=70\text{ m}[/tex]

__

There are 100 cm in 1 m. The units of yr cancel.

Find the coordinates of the point P that divides the directed line segment from A to B in the given ratio. A(−9, −1), B(11, 9); 3 to 2

Answers

Answer:

(-2.5, 7.5)

Step-by-step explanation:

Find the coordinates of the point P that divides the directed line segment from A to B in the given ratio. A(−9, −1), B(11, 9); 3 to 2

Using the formula for calculating the mid point segment expressed as;

X = ax1+bx2/a+b

Y = ay1+by2/a+b

Given

x1 = -9, y1 = -1, x2 = 11, y2 = 9, a = 3 and b = 2

Substitute

X = 3(-9)+2(11)/2

X = -27+22/2

X = -5/2

X = -2.5

Similarly

Y = 3(-1)+2(9)/2

Y = -3+18/2

Y = 15/2

Y = 7.5

Hence the required coordinate point is (-2.5, 7.5)

funny corona-virus meme

Answers

Answer:

lol thats funny

Step-by-step explanation:

hahahahahahahahahahahahahahahahahahahahahahahaha!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! That is funny;)

The cost of tickets to a school play are $10 for adults and $6 for children under 12. If there were a total of 100 tickets sold to the play on a certain night, what equation would you use to represent the total ticket sales, T, if the number of adult tickets can be represented by a. Show and explain each step to create the equation.

Answers

Answer:

10a+6b=T------------2

Step-by-step explanation:

Given data

Let the number of adults be a

and the number of children be b

we are told that the total tickets is 100

hence

x+y=100-------------1

The cost of adult ticket = $10

The cost of children ticket = $6

since the total cost is T

Hence

10a+6b=T------------2

Find the length of y

Answers

Answer:

25 cm

Step-by-step explanation:

f(x)=6, what is x? HELP ANSWER FAST!!!!!!

Answers

Answer:

x = 6 / f

Step-by-step explanation:

12. What type of triangle is shown? ​

Answers

Answer:

Scalene triangle, right triangle.

Step-by-step explanation:

To find out what type of triangle this is, we have to find x, so we set up an equation:

The sum of interior angles in a triangle add up to 180°

(2x + 15°) + (4x - 10°) + (x) = 180°

Open paranthesis:

2x + 15° + 4x - 10° + x = 180°

Combine like terms:

7x +  5° = 180°

Same to both sides

7x = 175°

x = 25°

We plug in x for each of the values:

2(25°) + 15° = 65°

4(25°) - 10° = 90°

25° = 25°

Because none of the angles are equal, that makes this triangle a scalene triangle, and since one of the angles is a 90° angle, that makes this triangle a right triangle

I hope this helped, let me know if you have any questions.

Find the distance between
(5 , 1 ) and ( 3 ,6)

Answers

Answer:

Step-by-step explanation:

[tex]\sqrt{(6-1)^{2}+(3-5)^{2} }[/tex]=[tex]\sqrt{29}[/tex]

                               =5.39(correct to nearest hundredth)

if i get the right answer i will give brainlist

Which point on the scatter plot is an outlier?

Point A
Point B
Point C
Point D

Answers

Answer:

Point D

Step-by-step explanation:

PLS give me brainliest

Answer:

D, I would love to be given brainliest look i have an explanation

Step-by-step explanation:

An outlier is a number that seems for the data. The outlier is usually to far fro the data.  

HELPPPPPPP pleaseeeee mathhhh

Answers

9514 1404 393

Answer:

  y = 1/6x

Step-by-step explanation:

The constant of proportionality is the ratio of y to x:

  k = y/x

Using the point you have circled, it is ...

  k = 2/12 = 1/6

Then the equation y = kx can be written:

  y = 1/6x

Graph and then find the perimeter of this shape. H(3, 0), I(3, 7), J(6, 7), K(6, 0)

Answers

Answer:

20 units

Step-by-step explanation:

Graphed the points to find out it is a rectangle with sides 3 and 7.

Vertical segments with distance 7 - 0 = 7Horizontal segments with the distance 6 - 3 = 3

The perimeter is:

P = 2(3 + 7) = 20 units

Answer:

50 points

Step-by-step explanation:

I did it and got an A

Other Questions
PLEASE HELP QUICKLYMatch each of the following to the correct organ system.LungsHeartVeinsArteriesStomachLarge intestineTracheaSmall intestineMusclesBonesLiverPancreasGall bladderKidneyBladderChoices are...A. Skeletal SystemB. Excretory SystemC. Digestive SystemD. Circulatory SystemE. Muscular SystemF. Respiratory System Make a table for the rule y= -2x + 5 short note on climatic zones Is the relation below a function?-3-1-130123 How did the Emancipation Proclamation change the war? (1 point)A. It increased the number of railroads to transport soldiers.B. It provided an additional source of soldiers in the NorthC. It gavethe Northerners a cause to fight for.D. It freed all slaves in the United States. Put the following equation of a line into slope-intercept form, simplifying allfractions.2x - y = 4 porque el factor comn est relacionado con la propiedad distributiva what 5/8x + 1/2 (1/4x + 10)? I have no idea how to do this please help! Can anybody help me "Write about what is your idea of a happy school where learning is an engaging and joyful activity. The local news is conducting a poll of the residents' opinions regarding a new traffic law that is being proposed. At the end of a news segment, viewers had the opportunity to dial in or use social media to choose whether they agree or disagree with the law. A large sample size was represented, and this poll was repeated again one week later with similar results. When working with this data, what best applies? A 6kg bowling ball is rolled down the bowling lane with a force of 42N, what is the acceleration of the ball? hiii please help ill give brainliest if you give a correct answer :) uqiwoeugyfhbjckdisuygehbfjkdehgfvjdenfhu heelppppp pelele;lkelekleke pleaseeeee pleseese ok i can spell just hellpppp Find the coordinates of the point P that divides the directed line segment from A to B in the given ratio. A(9, 1), B(11, 9); 3 to 2 Help me please I'm confused. Explain how the residents of New Zealand feel about multiculturalism. Select the correct answer. One factor of the polynomial 213 3r2 3x + 2 is (t 2), which expression represents the other factor, or factors, of the polynomial? A. (21 + 1) (1 - 1) B. (2r2 + 1) OC. (212 - I + 1) OD. (2x - 1)(1 + 1) A bakery sells chocolate cupcakes and mocha cupcakes. It sold 500 cupcakes in a day, and 16% of them were mocha. How many of the cupcakes sold that day were chocolate?