convert the following repeating decimal to a fraction in simplest form .53

Answers

Answer 1

9514 1404 393

Answer:

  53/99

Step-by-step explanation:

When an n-digit repeat begins at the decimal point, the repeating digits can be placed over an equal number of 9s to make a fraction. Sometimes, that fraction can be reduced to lower terms.

  [tex]0.\overline{53}=\boxed{\dfrac{53}{99}}[/tex]

__

If the repeat does not start at the decimal point, the conversion can be done as follows.

For a number x with a decimal fraction that has n digits repeating, multiply by 10^n, subtract x and then divide by (10^n -1).

The fraction will be ...

  (x·10^n -x)/(10^n -1) . . . where x has n repeating digits in the decimal fraction

Here, that looks like ...

  [tex]x=0.\overline{53}\\100x=53.\overline{53}\\100x-x=53.\overline{53}-0.\overline{53}=53\\99x=53\\x=\dfrac{53}{99}[/tex]


Related Questions

Which graph represents the function g(x) = 3/(x+2) -4?

Answers

Answer:

x=-2, y=-4

Step-by-step explanation:I took the test on k12

The required graph of the given function g(x) = 3/(x+2) -4 is given in the image attached below,

Given that,
The graph for the function g(x) = 3/(x +2) - 4 is to be determined.

What is a graph?

The graph is a demonstration of curves that gives the relationship between the x and y-axis.

Here,
g(x) = 3/(x+2) - 4
Since the function has an inverse operator as 1 / (x + 2) the graph for the given function shown in the graph,

Thus, the required graph of the given function g(x) = 3/(x+2) -4 is given in the image attached below,

Learn more about graphs here:

brainly.com/question/16608196

#SPJ5

Help me please

What’s the slope of the line passing through
(-2, -8)and (-3,-9)

Answers

Answer:

Positive one

Step-by-step explanation:

can someone help me with number one please

Answers

Answer: y=1/4x-5

Step-by-step explanation:

1/4 is the slop

-5 is the y-intercept

Y=mx+b (slope-intercept form)

m=slope

b=y-intercept

y=1/4x-5

In ΔTUV, the measure of ∠V=90°, the measure of ∠U=70°, and UV = 9.6 feet. Find the length of TU to the nearest tenth of a foot.

Answers

28.1 feet

explaination

\cos U = \frac{\text{adjacent}}{\text{hypotenuse}}=\frac{9.6}{x}

cosU=

hypotenuse

adjacent

=

x

9.6

\cos 70=\frac{9.6}{x}

cos70=

x

9.6

x\cos 70=9.6

xcos70=9.6

Cross multiply.

\frac{x\cos 70}{\cos 70}=\frac{9.6}{\cos 70}

cos70

xcos70

=

cos70

9.6

Divide each side by cos 70.

x=\frac{9.6}{\cos 70}=28.0685\approx 28.1\text{ feet}

x=

cos70

9.6

=28.0685≈28.1 feet

Type into calculator and roundto the nearest tenth of a foot.

What is the measure, in degrees, of angle x?
A
26.8

B
47.8

C
116.8

D
296.8

Answers

The answer is C

Step-by-step explanation:

180-63.2

The answer is C! Have a good day

PLEASE HELP WILL MAKE BRAINILEST ALSO PLEASE SHOW UR WORK TYSM
Bev has to cut her grandma's grass this weekend and wants to know exactly how much area she will be cutting. Calculate the area of the polygon. Be sure to show all your work and explain your answer.

Six-sided polygon that includes two isosceles right triangles, one with height and base of 15 feet, the other height and base of 4 feet, and one rectangle measuring 25 feet by 4 feet.

Answers

Given : Bev has to cut her grandma's grass this weekend

Six-sided polygon that includes two isosceles right triangles, one with height and base of 15 feet, the other height and base of 4 feet, and one rectangle measuring 25 feet by 4 feet.

To Find : Area of Polygon

Solution:

Area of triangle = (1/2) bh

= (1/2) * 15 * 15

= 112.5   sq feet

= (1/2) * 4 * 4

=  8   sq feet

Area of rectangle = 25 x 4 = 100   sq feet

Total area =112.5 +  8  + 100

= 220.5 sq feet

Area of Polygon = 220.5 sq feet

220.5 is the answer

Simplify. Your answer should contain only positive exponents −ab^2•(2a^0b^-4)^-4•2a^4b^-1

Answers

Answer:

-a^5b^17/8

Step-by-step explanation:

(-3,-4)&(-2,-8)

find the slope between the two points ​

Answers

Answer:

Step-by-step explanation:

Givens

y2 = - 4

y1 = - 8

x2 = - 3

x1 = - 2

==========

Equation

m = (y2 - y1) / (x2 - x1)

m = (-4 - - 8) / (-3 - - 2)

m = 4 / - 1

m = - 4

Answer:

(1, -4)

Step-by-step explanation:

(-3, -4) >> (x1, y1)

(-2, -8) >> (x2, y2)

(y2 - y1)           -8 - (-4) = -4

----------- >>>

(x2 - x1)           -2 - (-3) = 1

x always goes first in a coordinate, so

(1, -4)

Hope this helped ;)

Rick owns a farm, which produces many different crops, including corn. The table shows the relationship between the number of acres, a, and the bushels of corn, c, the farm produces.
Which equation models the relationship between the independent and dependent variables?

A) a = 45c B) c = 45a C) a = 45 + c D) c = 45 + a

Answers

Answer:

c=45a

Step-by-step explanation:

for the first one it shows 45x1=45. second shows 45x2=90. thats the patter.

Please help
-3.7n = -22.2

Answers

Answer:

n=-22.2/-3.7 { - and - will cancel}

so n=22.2/3.7

therefore n=6

the sum of twice C and 10​

Answers

Give the answer in terms of C?

2C + 10

Decrease £843 by 91% rounded to 2 DP

Answers

Answer:

Percent (%)' means 'out of one hundred':

p% = p 'out of one hundred',

p% is read p 'percent',

p% = p/100 = p ÷ 100.

91% = 91/100 = 91 ÷ 100 = 0.91.

100% = 100/100 = 100 ÷ 100 = 1.

Decrease number by 91% of its value.

Percentage decrease = 91% × 843

New value = 843 - Percentage decrease

Calculate the New Value

New value =

843 - Percentage decrease =

843 - (91% × 843) =

843 - 91% × 843 =

(1 - 91%) × 843 =

(100% - 91%) × 843 =

9% × 843 =

9 ÷ 100 × 843 =

9 × 843 ÷ 100 =

7,587 ÷ 100 =

75.87

Calculate absolute change (actual difference)

Absolute change (actual difference) =

New value - 843 =

75.87 - 843 =

- 767.13

Proof.

Calculate percentage decrease:

Percentage decrease =

91% × 843 =

91 ÷ 100 × 843 =

91 × 843 ÷ 100 =

76,713 ÷ 100 =

767.13

Step-by-step explanation:

Hope it is helpful....

Help! Me with this question

Answers

The answer is B because
12^2+16^2=c^2
144+256=400
Square root of 400 is 20

Rain is falling steadily at 5.2 millimeter per hour. How much rain fall in 90 minutes?

Answers

Answer:

7.8 ml

Step-by-step explanation:

1 hour = 5.2 ml of rain

90 mins = 1 hours and 30 mins

5.2 / 2 = 2.6

5.2 + 2.6 = 7.8

GIVING BRAINIEST IF RIGHT!! ANSWER FAST PLEASE

The table below shows the distance covered by a train over time.
Do the numbers in the table represent a proportional relationship? Why or why not?

A. No, because the ratios simplify to the same number.
B. Yes, because the ratios simplify to the same number.
C. No, because the ratios don't simplify to the same number.
D. Yes, because the ratios don't simplify to the same number.

Answers

Answer:

I think its B.) Yes, because the ratios simplify to the same number., sorry if it's wrong

Step-by-step explanation:

50/10 = 1/5

60/12 = 1/5

70/14 = 1/5

80/16 = 1/5

They all simplify to the same proportion.

what is a slope of a line between the x-axis and y-axis​

Answers

Answer:

Mercedes, look at the graph i'm attaching... do you see ? what's the slope?

Step-by-step explanation:

what is the volume PLEASE HELP

Answers

Answer:

270 m

Step-by-step explanation:

You would do 10 times 9 which is 90 then you would do half of 6 which is 3 then you do 90 times 3 which is  and thats your answer.

helllllllllllllllllllppppppppp!!!!!!!!!!!!!!!!!!!!!!!!
pleeeeeeeeeeeease

Answers

Answer:

1:5 is the ratio so 1 cow for every 5 sheep, 2 cows for 10 sheep and 3 cows for 15 sheep.

Step-by-step explanation:

One of my homework problems say: Solve the proportion. X/4=2/5. I am stuck on this one. It will be appreciated if you explain the steps to complete this problem. Thanks for your help!

Answers

Answer:

1.6

Step-by-step explanation:

Given :

X/4 = 2/5

To solve for X ;

We can use cross multiplication ; multiply opposite values :

X * 5 = 2 * 4

5X = 8

To isolate X ;

Divide both sides by 5

5X/5 = 8/5

X = 8/5

X = 1.6


PLEASE HELP ME ASAPPPP

Answers

Answer:

The answer is

90 degrees the first one is I don't know about the rest sorry

Step-by-step explanation:

x = (y/2) - 1
Please help me find the answer.

Answers

Answer:

Step-by-step explanation:

Well you didn't give directions on what to solve for,

I'm gonna assume you want to solve for y

x = (y/2) - 1 (add 1 to both sides)

x + 1 = y/2 (multiply both sides by 2)

2(x + 1) = y (distribute the 2)

y = 2x + 2

Quick prints makes custom t-shirts. They charge $10 for each t-shirt ordered plus a $5 design fee. Which situation best represents y, the total cost to order x t-shirts?

Answers

Answer:

y = 10x+5

Step-by-step explanation:

The price of each T-shirt = $10

Design fee on each T-shirt = $5

We need to find the expression for the total cost. Let the total cost be y. So,

Let he has ordered x T-shirts. So,

y = 10x+5

Hence, this is the required solution.

(-2,19)(10,-11) find the slope

Answers

Answer:

-5/2

Step-by-step explanation:

Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\[/tex]

         [tex]= \frac{-11-19}{10-[-2]}\\\\=\frac{-30}{10+2}\\\\=\frac{-30}{12}\\\\=\frac{-5}{2}[/tex]

A concession stand sells smoothies. At the end of the day they had sold 14 strawberry,
18 banana, 8 grape, and 6 orange. Tell which ratio is greater, strawberry to orange or
banana to grape.

A. Banana to grape
B. Strawberry to orange

Answers

Answer:

A. Banana to grape this should be right

A meat seller bought 250kg of meat fo GHC 224 At what price per kg should he retail it in order to make proft of 25%

Answers

Answer:

GHC1.19

Step-by-step explanation:

Given data

Mass of meat= 250kg

Cost of meat= GHC 224

cost price per kg

=224/250

=GHC 0.896 per kg

% profit= selling-cost/selling*100

let the selling price be x

25= x- 0.896/x*100

0.25= x-0.896/x

cross multiply

0.25x=x- 0.896

0.25x-x= - 0.896

0.75x= 0.896

x= 0.896/0.75

x=GHC1.19

please please please please help me

Answers

Do the same to the other side

Sim porque positivo não fecha

how many cups of each were sold

Answers

Answer:

how many cups of what were sold

Step-by-step explanation:

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How many years will it take for $3,000 to double at a simple interest rate of 2%?
A. 2 years
B. 5 years
C. 10 years
D. 50 years

Answers

Answer:

3000=3000*0.02t

3000/60=t

t=50 yrs

Step-by-step explanation:

D because it makes sense you can’t double 3 dollars in 2 years with only 2 years

√43 is a number between
6 and 7
7 and 8
21 and 22
84 and 88

Answers

6 and 7

the square root of 43 is 6.557

Caleb has driven 820 miles of his road trip. He has 20% of his trip left to go. How many miles does he have left to go? Need asp

Answers

he has 164 miles left
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