Write the repeating decimal $0.\overline{51}$ as a fully simplified fraction.

Answers

Answer 1

Answer:

17/33

Step-by-step explanation:

Answer 2

The repeating decimal [tex]$0.\overline{51}$[/tex] is equal to [tex]$\boxed{\frac{17}{33}}$[/tex].

What is a fraction?

A fraction is a component of a whole. Mathematically, the number is expressed as a quotient, where the numerator and denominator are divided. In a simple fraction, both are integers. In a complex fraction, a fraction can be found in either the numerator or the denominator. A suitable fraction has a numerator that is smaller than its denominator.

Let [tex]$x = 0.\overline{51}$[/tex]. Multiplying both sides of this equation by 100 gives,

[tex]$100x = 51.\overline{51}\\[/tex]. Subtracting the first equation from the second equation eliminates the repeating decimal,

giving:

[tex]\begin1100x - x &= 51.\overline{51} - 0.\overline{51}\\ \99x &= 51 \\\ \\end[/tex]

x = 51/99

Therefore, the repeating decimal [tex]$0.\overline{51}$[/tex] is equal to [tex]$\boxed{\frac{17}{33}}$[/tex].

Learn more about fractions here:

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Related Questions

To find the quotient 3/4 / 1/8

Answers

Answer:

6 i think

Step-by-step explanation:

Answer:

24/4 or 6

Step-by-step explanation:

3/4 / 1/8

flip the 1/8 and the sign

3/4x8/1

3x8=24

4x1=4

Which of the following is equivalent to the image below

A: 6
B: 8
C: 12
D: 64

Answers

Answer: The answer is 8

Step-by-step explanation: first you solve 16 to the 1.5 power (3/2=1.5) and that gives you 64. Then 64 to the .5 power (1/2=.5) and that gives you 8.

A photo is 12 inches tall and 16 inches wide. if it is reduced to a width of 4 in, then how tall will it be?

(Please write how to do it too) thx

Answers

The answer is 3
Since 16 turned to 4 it was divided by 4
Whatever you do to one side you do to the other
12 divided by 4 is 3

plzzzzzzzzzzzzzzzzzzz

Answers

Answer:

70x

Step-by-step explanation:

8x8 = 64x then +6x = 70x

Answer:

[tex]2x(4x+3)[/tex]

Step-by-step explanation:

The first thing to factorising this expression is to find the greatest common factor (GCF). For 8x² and 6x the gcf is 2x. So now we divide the 8x² and 6x by the 2x. Which comes out to 4x and 3, these will be inside the parentheses.

So it'll factorise to [tex]2x(4x+3)[/tex] and remember when we are dividing with exponents we subtract the exponents. So [tex]\frac{8x^2}{2x}[/tex] we will divide the coefficients together that'll be 4 and now for the exponents the 2 on the x² minus the 1 on the x will equal 1 so it'll be just x we don't place a one or anything.

what is the quotient of -18 and 3

Answers

basically you to -18/3 which you get -6

Answer:

ur answer would be 4.

Is the following sequence arithmetic, geometric, or neither?
-6, -2, 2, 6, 10, ...

Answers

Answer:

gay lol lol

Step-by-step explanation:

wesd yessir gay mf

What will be the rule?

Answers

Answer:

Step-by-step explanation:

I haven't done this in a long time so I don't know how you would write this but I will explain it.

For every 6 in puts you will get 1 out put.

also for the blank space on 42 is 7.

Hope this helps!!

Esma and Hunter were trying to solve the equation:
? + 8x = 22 - 8
They both agreed they should first subtract 2x and add 8 to both sides and rewrite the equation as
2? + 6x + 8 = 0.
Then Esma said, "I can complete the square. I can add 1 to both sides to rewrite this equation as
32 +63 +9 = 1, factor, and solve using square roots."
Hunter said, "I'll factor the left-hand side of the equation as (+ + 2)(x + 4) and solve using the zero
product property."
Whose solution strategy would work?
Choose 1 answer.
A. Only Esma's
B. Only Hunter's
C. Both
D. Neither

Answers

Answer: both esmas and hunters strategies work

Step-by-step explanation:

Answer:

both

Step-by-step explanation:

Please try your best, but with explanation! Use the screenshot provided!

Answers

Answer:

A, D

Step-by-step explanation

A

2^2 = 4

4^2 = 16

D

2^2=4

2^4 = 16

Answer:

A and D

Step-by-step explanation:

A.) plug in 2 first then 4

2^2= 4 and 4^2= 16 so it applies

B.) does NOT apply bc 2+6=8 and not f(2)=4 and also does not equal to 16

4+6=10

C.) does NOT apply bc 4(2)+2=10 and not to 4 and also does not equal to 16; 4(4)+2=18

D.) does apply 2^2=4 and 2^4=16

if 72 is 40% what is 100%?

Answers

Answer:

180

Step-by-step explanation:

If 40% = 72, 100% can be found like so:

40% = 72

100% =  [tex]\frac{100}{1}[/tex] * [tex]\frac{72}{40}[/tex]

You can reduce 40 and 100 by 20 (or probably more, but I'll use 20)

So now we have:

[tex]\frac{50}{1}[/tex] * [tex]\frac{72}{20}[/tex] = [tex]\frac{3600}{20}[/tex]

Divide, and you get 180.

To check, we can find 40% of 180.

(I looked it up)

Hope this helps!

Barbie has a favorite number. The
quotient of her number and -4 is -90.
What is Barbie's favorite number?

Answers

Answer:

Is -4444444444

Step-by-step explanation:

Answer:

360

Step-by-step explanation:

A quotient is the result of a division problem.

We must multiply -4 and -90.

-4 • -90 = 360

(There is no - because a negative multiplied by a negative equals a positive.)

If a sweatshirt normally costs $40 but it is
marked down 20%. How much would it cost?

Answers

Answer:

$32

Step-by-step explanation:

First, find 20% of 40.

20% as a decimal is 0.20 (20/100)

0.20 x 40 = 8

Now, subtract 8 from the original price.

40 - 8 = 32

Answer:

$32

40 decrease 40%

40 x (1-20%) = 40 x (1-0.2) =32

A flagpole that is 9 feet high casts a shadow 12 feet long. At the same time, a house casts a shadow 32 feet long. If the right triangle formed by the flagpole and its shadow is similar to the right triangle formed by the house and its shadow, what is the approximate height, in feet, of the house?
A.
16
B.
20
C.
24
D.
26

Answers

C I had this last year

PLS HELP ME WITH THIS !!

Answers

part 1:
180 = 5p+98 + 9p-2
180 = 14p + 96
84 = 14p
6 = p

part 2:
angle S will be the same as angle Q, so:
9p-2
9(6)-2
54-2
M


If x+2=5 then x= What

Answers

Answer:

3

Step-by-step explanation:

5-2=3

Just do it the other way to find the answer!

I hope this helps!

Answer: x = 3

Step-by-step explanation:

we subtract 2 from both sides, in order to get the variable by itself.

x + 2 (- 2) = 5 (- 2)

x = 3

Write an equation of the line that passes through (1, 2) and is parallel to the line y = -52 +4.
y
5x + 7

Answers

Answer:

gfgdf

Step-by-step explanation:

dfhdf

Please help asap Easy algebra !!

Answers

Answer:

many solutions

Step-by-step explanation:

4 Isabel is designing a new fish tank that is shaped like a triangular prism with lateral faces made of glass. A model of the fish tank and its dimensions are shown below. 10 in 8 in 1 6 in 8 in What is the lateral surface area of Isabel's fish tank? ​

Answers

Answer: 192 in2

AL=(a+b+c)h=(10+8+6)·8=192

solving systems of linear inequalities

Answers

Answer:

YES. (2, 7) is a solution of the system.

Step-by-step explanation:

System of linear inequalities has been given as,

y ≥ -x + 1 --------(1)

y < 4x + 2 ------(2)

If (2, 7) is a solution of the given system of inequalities, it will satisfy both the inequalities.

By substituting the coordinates of point (2, 7) in inequality (1),

7 ≥ -2 + 1

7 ≥ -1

True.

By substituting the coordinates of point (2, 7) in inequality (2),

7 < 4(2) + 1

7 < 9

True.

Therefore, point (2, 7) lie in the solution area of system of inequalities.

YES. (2, 7) is a solution of the system.

Which of the following best describes the graph below?

Answers

Answer:

The correct option is;

A. It is a one-to-one function

Step-by-step explanation:

A function f(x), is a one to one function when each value in the range is given by each unique value in the domain such that each "x" value produces a unique "y" value.

The given graph has a domain of -2 ≤ x < ∞

Within the domain plotted in the graph, all lines with equation "x" = -2, -1, 0..., 4, 5 crosses the graph only once, therefore, for each value of "x", there is only one value of "y", which gives the relationship between the "x" and "y" values as one to one function

Sarah peeled 84 oranges in 7 hours. At that rate, how many oranges would she peel in 15 minutes?​

Answers

Answer:

Sarah would peel 3 oranges in 15 minutes

Explanation:

I’m not sure if I did it right but i multiplied 7 by 60 (hours by minutes in an hour) and got 420. Then I divided it by 15 and got 28. Finally, I divided 84 by 28 and I got 3. I don’t if I am late or right for this question though.

please awnser photo will give brain if you are first

Answers

3rd one that is the answer

brainly pls


What is the solution of x + 6 11
C. x –1

show your work pls

Answers

Answer:

C. x < –1

Step-by-step explanation:

What is the solution of x + 6 < 5?

A. x < 11

B. x > 11

C. x < –1

D. x > –1

-1+6<5

but you need less than 5 so

x<-1

For a second of sauce 1 and sauce 2 Andrew plans to use 3,180 green peppers and 5,560 hot chili peppers

Answers

Answer: Um ok? What are the measurements of the original batches...

Step-by-step explanation:

Which one is correct please hurry..the audio is just reading the question

Answers

Answer:

3/29

Step-by-step explanation:

Step-by-step explanation:

ahsjsjsjajajajjahajaiaiaijzjsbwbw

A stuffy normally costs $12, but this week it is on sale for $9. What is the Percent of Change on the stuffy?

Answers

Answer: 25%

Step-by-step explanation:

From the question, we are told that a stuffy normally costs $12, but that this week it is on sale for $9.

The Percent of Change on the stuffy will be calculated as:

= Change / Normal cost × 100

= (12 -9) / 12 × 100

= 3/12 × 100

= 1/4 × 100

= 25%

Using Joe’s triangle what is the slope of the graph

Answers

Answer:

The slope is 2.

Step-by-step explanation:

You can take the second plotted point of the graph. (2,4)

Since slope is y/x, the equation is 4/2.

4/2=2

Which set of side lengths forms a right triangle?
Group of answer choices

5 cm, 6 cm,7 cm

2 cm, 4 cm, 6 cm

8 cm, 9 cm, 11 cm

8 cm, 15 cm, 17 cm

Answers

Answer:

A. 5cm, 6cm, 7cm

Step-by-step explanation:

Classify this triangle by its sides and angles.
-acute and scalene-
-acute and isosceles-
-right and scalene-
-right and isosceles-

Answers

Answer:

acute isosceles

Step-by-step explanation:

both legs have an equal length, and angles are less than 90º

At a sale, suits were sold for $49 each. This price was 35% of a suit's original price. How much did a suit originally cost?

Answers

Answer:

Step-by-step explanation:

Hi

Answer:

140

Step-by-step explanation:

I divided 49/35 = 1.4. Now I multiplied 1.4 and 100 = 140.

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