write the recurring decimal 0.25656565656 as a fraction in its simplest form

Answers

Answer 1

Answer:

127/495

Step-by-step explanation:

Turning repeating decimals into fractions is a little like surgery: you need to make sure to "cut out" just the right part to let you simplify. In this case, it'd be very nice if we could deal with that repeating 0...565656... part. Let's start by giving our decimal a name:

[tex]x=0.25656...[/tex]

We're gonna split this into two parts: a number we can operate on, and "knife" to make the incision. For both, we'd like the only part to the right of the decimal to be the repeating part. To make our "knife," we'll multiply both sides of the equation by 10:

[tex]10x=2.5656...[/tex]

To make the number we'll be cutting from, we can shift the decimal point by any multiple of two more to the right. I'll keep things simple and stick with 2. This corresponds to multiplying the "knife" equation by 100 on both sides:

[tex]1000x=256.5656...[/tex]

Surgery time! To cut out the repeating bit, we can now just subtract the "knife" equation from the one above:

[tex]1000x-10x=256.5656...-2.5656...\\990x=254[/tex]

And just like that, it's gone! All that's left to do now is divide both sides by 990 and simplify:

[tex]x=254/990=127/495[/tex]


Related Questions

Can someone help me with this problem ??

Answers

B= 120° because all triangles equal 180° so 19°+41° = 60 and 180° -60 equals 120°


A= 120 because B and A are vertical angles

Y= 22° because 120 +38= 158 and 180-158 = 22°

Answer:

a = 120

b = 120

y = 22

a and b and vertical angles

Step-by-step explanation:

angles A and B are vertical angles so they're equal.

you can find angle b because all the angles in a triangle add up to 180

19 + 41 + B = 180

b = 180 - 19 - 41

b = 120

and since theyre equal, that means

a = 120 as well.

since you know a = 120 you can find y.

120 + 38 + y = 180

y = 180 - 120 - 38

y = 22

if your heat beats 75times per minute how many time does it beat in 5 hours​

Answers

Answer:

This is your answer . IfI'm right so,

Please mark me as brainliest. thanks!!!

What is the range of this data set?

3.7, 18.5, 2.7, 13.8, 7.5, 15.2, 10.1, 7.6, 17.8




14.1

15.8

17.8

18.5

Answers

Answer:the answer is 15.8

Step-by-step explanation:

Find the total surface area of the triangular pyramid

A. 98.6 ft

B. 123.6 ft

C. 99.5 ft

D. 201 ft

E. 103 ft

F. 118.1 ft

Answers

the answer is C- 99.5ft :)

DONT ANSWER IF YOU DONT KNOWWWWWW . Click All that apply:)

Answers

Answer:

1.Location

2.shape

3.orientation

Step-by-step explanation:

Answer: Orientation

Step-by-step explanation:

Basically how the shape looks like on a graph for example a right side up triangle would look different from a upside down triangle

The measure of ∠DBE is (0.3x−22)° and the measure of ∠CBE is (0.2x−55)°. Find the value of x.

Answers

(0.3x-22) + (0.2x-55) =90
0.5x=167
X=334
I’ve attached my work...
Hope it helps!!
Have a nice day :O

List five examples of materials and equipment that can be used for math activities.

Answers

Answer:

compass

protecter

scale

pencil

Hence, the fives examples are explained.

What is the mathematics?

Mathematics is an area of knowledge that includes the topics of numbers, formulas and related structures, shapes and the spaces in which they are contained, and quantities and their changes

(1) Ruler

(2) Set-squares

(3) Compass

(4) Divider

(5) Protactor

Hence, the fives examples are explained.

To know more about the maths

https://brainly.com/question/12789483

#SPJ5

The ratio of girls to boys is 12 girls to 20 boys.
If there are 3 girls, how many boys are there?
There are
boys.
Next Question

Answers

Answer:

5

Step-by-step explanation:

ratio = 12:20

12/4 = 3

so we do

20/4 = 5

there are 5 boys

Another way, we can write it as a fraction

12/20 = 3/x

12x = 60

x = 5

Answer:

5 boys

Step-by-step explanation:

Write it like this:

3/X=12/20

Then, cross multiply.

3*20=60

X*12=12X

12X=60

Divide both sides by 12

60/12=5

X=5

The unknown number is 5

If there are 3 girls, then there are 5 boys.

Find the value of the marked angles in each of the following ( see image ).

Please show workings.

The only given angles are 62° and 85°.

The angle to look for is marked by “))”​

Answers

Answer:

(180-62)

118

180-118=62

180-85=95

180-(62+95)

180-157

23

Answer:

23°

Step-by-step explanation:

The inscribed is the cyclic quadrilateral.

The opposite angles are supplementary in cyclic quadrilaterals.

The angle opposite to 85° is:

180° - 85° = 95°

The missing angle of the triangle is:

180° - (62° + 95°) = 23°

Please answer this below Question # 15

Answers

Answer:

[tex]c. \: 5x - 2y = 10 \\ \: \: \: \: \: 10x - 4y = 20 \\ [/tex]

Rebecca has been planting young trees in her garden. The maple tree that is 10 centimeters tall
is growing 2 centimeters per month, whereas the oak tree that is 15 centimeters tall is
growing 1 centimeter per month. In a few months, the two trees will be the same height. How
many months will this take and what will that height be?

Answers

Answer:

It will take 5 months and that height will be 20cm.

Step-by-step explanation:

Let the height of the tree be h cm and the number of months be m.

Maple tree

Initial height= 10cm

Total height= 10cm +2(number of months)

h= 2m +10 -----(1)

Oak tree

Initial height= 15cm

Total height= 15cm +1(number of months)

h= m +15 -----(2)

When the height of the two trees are the same,

2m +10= m +15

Solve for m:

2m -m= 15 -10

m= 5

Substitute m=5 into either equation 1 or 2 to obtain the height.

When m=5,

h= 5 +15

h= 20

Write a rational number between -3 and -4.

Answers

Answer:

-3.25

Step-by-step explanation:

Answer:

-3.25

Step-by-step explanation:

sorry I'm wrong.....im not that good at math

Barak spent $20 at the mall. This represents 16% of the money he earned working at the pizza parlor last week. How much money did Barak earn at the pizza parlor last week?

Answers

Answer: Amount of Money Barak  earned last week =$125

Step-by-step explanation:

Amount of money Barak spent= $20

Amount of money spent = 16% of Money earned (X)can be represented as

16%  x  X =20

0.16 x X  =20

X = Money earned last week = 20/ 0.16= $125

q/19 < 4

pls be correct if you type it !!!!

Answers

Answer:

q<76

Step-by-step explanation:

hope this is the answer you were looking for!

Johnathan is driving at a constant velocity on a long stretch road. The distance he travels is dependent on the length of time he drives. What type of variation describes the velocity Johnathan is driving in this situation?

Answers

Answer:

um i think its mph

Step-by-step explanation:

Bella can run a mile in 9.54 minutes. Linda can run a mile in 8.22 minutes. How much faster can Linda run than Bella? Justify your reasoning.

Answers

Answer:1.16 times

Step-by-step explanation:

Given

Bella can run a mile in 9.54 minutes

Linda can run a mile in 8.22 minutes

We know, [tex]\text{distance=speed}\times\text{ time}[/tex]

Speed of Bella, for running a mile is

[tex]\Rightarrow v_b=\dfrac{1}{\frac{9.54}{60}}=\dfrac{60}{9.54}\\\\\Rightarrow v_b=6.29\ mph[/tex]

Speed of Linda, for running a mile is

[tex]\Rightarrow v_l=\dfrac{1}{\frac{8.22}{60}}=\dfrac{60}{8.22}\\\\\Rightarrow v_l=7.29\ mph[/tex]

So, Linda is faster than Bella, as her speed is more compared to Linda.

Linda is  [tex]\frac{9.54}{8.22}=1.16[/tex]  times faster than bella

HELP ME PLZZ I NEED HELP WITH THIS

Answers

Answer:

25 + 11 hope this helps

Step-by-step explanation:

answer is the third one

Someone please help with this Free Response on USATestPrep


Given the equation y = 12x − 25, describe a real-life context that could be modeled by the equation and describe the meaning of the coefficient, variable, and constant term expressed in the equation.

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given the equation :

y = 12x − 25

The initial depth of groundwater being held by a storage tank which extends downward below the ground surface is - 25. The rate of change in depth the groundwater per unit of Rainfall is 12. Hence, a linear model which could model the depth of water in the tank in the described scenario is ;

y = 12x − 25

The rate of change in depth of ground water, y per unit change in number of Rainfall, x gives the slope Coefficient, which equals 12

The intercept value, which is the initial depth of groundwater before, it started raining is - 25

PLEASE HELP
show work for problem

Answers

Answer:

[tex]tan(x)-1 =30/45[/tex]

Step-by-step explanation:

put that in your calculater

please help

ABC = ADC . Find y.​

Answers

Answer:

y is 7

Step-by-step explanation:

Turn away weight loss challenge your friend goes from one $125 lb to 100 lb what was the percent weight loss

Answers

Your friend lost 2.5% weight

A. undefined B. 0 C. 1 D. -1

Answers

Answer:

0

Step-by-step explanation:

Zero .

Cot = 1/tan ∅

But tan ∅= cos∅ / sin ∅

so if ∅/90 then cos 90/ sin 90 x π/2 should be 0

Answer:

The answer is D.) 0

Step-by-step explanation:

JUST DID THE QU

Pig E Bank brags a 4% interest rate compounded annually. If Mr. Ant wants to invest $5,000
on his first born child's birthday and surprise him with the account on the child's 40th
birthday. Write and solve an equation to determine the amount in the account when his
child turns 40.

Answers

hii! i just wanted to say hope you're having a fantastic day and hope that things are going well (: stay strong and stay safe!

Please help if possible :)

Answers

Answer:

4.5

Step-by-step explanation:

any value of XYZ divided by the corresponding value from RST = 4.5 the scale factor

tenth term of 4n-3



thank you​

Answers

4n - 3 = 4 * 10 - 3 = 40 - 3 = 37

....

Answer:

tenth term =(4×10)-3

=40-3

=37

A runner covers a distance of 1200m with an average speed of 4m/s. How long does it take to run this distance? Then calculate the time in min.

Be the first answer for Brainliest, please I need help.

Answers

Answer:

5mins

Step-by-step explanation:

well i did 1200 divided y 4 then divided that answer by 60

what is the value of A​

Answers

Answer:

There's no picture for me to answer your question.

Step-by-step explanation:


A city has a population of 320,000 people. Suppose that each year the population grows by 7%. What will the population be
after 15 years?
Use the calculator provided and round your answer to the nearest whole number.

Answers

7•15=105
Population will increase by 105%
100+105=205

320,000. 100%
x. 205%

x=320,000 • 205% divided by 100%
x=656,000 people

Can someone tell me a proportion to convert 5 pounds to ounces asap. pls someone reply quick

Answers

Answer:

5 pounds = 80 ounces

Hope it helps!!!

Which statement about 7/3 is true
A. 7/3 = 7 x 3/1
B. 7/3 = 7 x 3/3
C. 7/3 = 7 c 1/7
D. 7/3 = 7 x 1/3

Answers

Answer:

D, the rest are not true about the statement 7/3

Answer:

D. 7/3 = 7 x 1/3

Step-by-step explanation:

[tex]7 * \frac{1}{3} = \frac{7}{1} * \frac{1}{3} = \frac{7}{3}[/tex]

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