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

I need help with homework​

Answers

Answer:

C

Step-by-step explanation:

Point C is on the x-axis.

Answer:

c

Step-by-step explanation:

the x axis is labeled

x axis is always horizontal (think the horizon)

y axis is always vertical

7.
What is the slope of the line that contains the points (-1, 2) and (3, 3)?

Answers

The answer is 5/4 I hoped this helped

The line plots shows the weights of 9 grapefruits. What is the difference in the total weight of all the 1 1/2 lb grapefruits and the total weight of all the 1 1/4 lb grapefruits? A 1/4lb B 2 lb C 4 1/2lb D 7 lb

Answers

Answer:

The difference of weight is [tex]2[/tex] pounds.

Step-by-step explanation:

Given:  The line plots shows the weights of [tex]9[/tex] grapefruits

To find: The difference in the total weight of all the [tex]1\frac{1}{2} lb[/tex]  grapefruits and the total weight of all the [tex]1 \frac{1}{4}lb[/tex] grapefruits.  

Firstly, we need to convert the given mixed fractions as following:

[tex]1\frac{1}{2} lb=\frac{2+1}{2}=\frac{3}{2}lb[/tex]

[tex]1\frac{1}{4} lb=\frac{4+1}{4}=\frac{5}{4}lb[/tex]

Now, we know that,

Point diagrams divide a sample into different classes, and allow to observe the frequencies of each class.

In this case, the different weights of the grapefruit constitute the classes. From a sample of 10 grapefruit, some will weigh  others weigh.

We need to observe the dot diagram to know how many  grapefruit we have of weight [tex]\frac{3}{2} lb[/tex] and how many  grapefruit we have of weight [tex]\frac{5}{4} lb[/tex]. In other words, we need to know, in the diagram, how many points there are about class of  [tex]\frac{3}{2} lb[/tex] and how many points there are about class of   [tex]\frac{5}{4} lb[/tex].

Then, the total difference between all grapefruit of  pounds and all grapefruit of pounds is calculated as follows:

[tex]x (1\frac{1}{2} ) - y (1\frac{1}{4} ) = Z[/tex]

Where

[tex]Z[/tex]: Weight difference

[tex]x[/tex]: Quantity of [tex]1\frac{1}{2} lb[/tex]  grapefruit

[tex]y[/tex]: Quantity of [tex]1\frac{1}{4}lb[/tex] grapefruit

Suppose that of the [tex]10[/tex] total grapefruits, [tex]3[/tex] of them weigh [tex]1\frac{1}{2} lb[/tex]  and [tex]2[/tex] of them weigh [tex]1 \frac{1}{4}[/tex]  pounds. This is: [tex]x=3[/tex] and [tex]y=2[/tex]

Now,

[tex]3(\frac{3}{2} )-2(\frac{5}{4} )[/tex]              

[tex]=\frac{9}{2} -\frac{5}{2}[/tex]                    

[tex]=\frac{4}{2}[/tex]            

[tex]=2[/tex]

Hence, for this case, the difference of weight is [tex]2[/tex] pounds.

Use similar triangles to calculate the height, h cm, of triangle ABE.
10 cm
D
36 cm
X
h
A А
E
20 cm

Answers

Answer:

h = 24 cm

Step-by-step explanation:

By using the similar triangle property in the given triangles,

Since, ΔBCD ~ ΔBAE

Their corresponding sides will be in the same ratio,

[tex]\frac{BC}{BA}= \frac{CD}{AE}= \frac{BD}{BE}=\frac{a}{h}[/tex]

[tex]\frac{CD}{AE}=\frac{a}{h}[/tex]

[tex]\frac{10}{20}=\frac{(36-h)}{h}[/tex]

10h = 20(36 - h)

10h = 720 - 20h

30h = 720

h = 24 cm

Therefore, height h = 24 cm is the answer.

Answer:

24

Step-by-step explanation:

I took the test

the equation of the line which has a gradient of 3 and passes through the point (-1,3)

Answers

Answer:

Call the line (d): y = ax + b

(d) intersects the vertical axis at the point where the intersection is 3 ⇒x = 0, y = 3 Instead of (d) we have: b = 3

(d) intersects the horizontal axis at the point where the coordinate is -1 ⇒x = −1, y = 0 Instead of (d) we have: −a + b = 0

Replace into b = 3 into -a + b = 0 we have: −a + 3 = 0⇔a = 3

So the equation for the line is y = 3x + 3

Step-by-step explanation:

Helpppp meeeeee pleaseeeee

Answers

Answer:

x+3=5 is the answer you're looking for.

Answer:

x+3=5

Step-by-step explanation:

Hey guys please help me! Very appreciate it

Answers

Answer:

30.9

Step-by-step explanation:

.

Select the correct answer. For what value of x is sin x = cos 19º, where 0°< x < 90°? OA. 38° ° O B. 71° OC. 26° O D. 19°​

Answers

Answer:

x = 71°

Option B is correct answer.

Step-by-step explanation:

We need to find for what value of x is [tex]sin\: x = cos 19^{\circ}[/tex], where 0°< x < 90°?

Solving:

[tex]sin\: x = cos\: 19^{\circ}\\Finding \:cos\: 19^{\circ}=0.94551\\Putting\:value:\\sin\:x=0.94551\\Now\:taking\:sin\:inverse\\x=sin^{-1}(0.94551)\\x=71^{\circ}[/tex]

So, we get x = 71°

Option B is correct answer.

Solve for x, rounding to the nearest hundredth.
10^3x = 98

Answers

Answer:

see explanation

Step-by-step explanation:

10^3x=98

1000x=98

x=98/1000

x=49/500

x=0.98

if it is rounded to the nearest hundredth then x=0

Which typist is faster,
Glenda, typing 195 words in 3 minutes, or
Jorge, typing 236 words in 4 minutes?
How do you know?
please help <3

Answers

Answer:

Glenda is faster

Step-by-step explanation:

Glenda types 65 wpm (195/3), and Jorge types at 59 wpm (236/4)

Pls can someone help me

Answers

Answer:

x = (h-12y-2)/4

Step-by-step explanation:

Here, we want to make x the subject of the formula

We have this as:

h = 4x + 12y + 2

4x = h-12y-2

x = (h-12y-2)/4

Greatest common factor of 4 and 19?​

Answers

Answer:

The greatest common factor of 4 and 19 is 1

Step-by-step explanation:

Answer:

Greatest common factor of 4 and 19 is 1

1) Work out the size of angle x.

2) Give reasons for your answer.

(15 points if correct)

Answers

Answer:

x= 75°

because 180°-105°=75°

Shelby ordered a set of orange and blue pins. She received 92 pins, and 25% of them were orange. How many orange pins did Shelby receive

Answers

Answer:

23 orange pins did Shelby receive.

Step-by-step explanation:

25% = 0.25

92 × 0.25 = 23

which equation represents this graph?

Answers

Answer:

It would be the 1st answer, y= 3/2x + 2.

Step-by-step explanation:

The intersection on the Y axis determins the "+2". To find the slope, it is always x/y. It rises 3, and runs 2. Hope this helps

Solve for z.

Z/4 - 11= -9

Z=

Answers

Answer:

8

Step-by-step explanation:

z/4 - 11 = -9

z/4 = 2

z = 8

The multiplication property of equality could be used to solve which of the following equations?
OX+2)x-3) = 0
m+7=-12
OD-2) = 18
03+y=7

Answers

Answer:

I pretty sure its C. OD-2) = 18

Step-by-step explanation:

7(n+4)= 21 what’s does n equal

Answers

Answer:

Step-by-step explanation:

here you go mate

step 1

7(n+4)= 21  equation/Question

step 2

7(n+4)= 21  simplify

7n+28=21

step 3

7n+28=21  subtract

7n=-7

step 4

[tex]\frac{7n}{7} =\frac{-7}{7}[/tex]Divide

answer

n=-1

For the school play, the advance tickets cost 3, while tickets at the door cost 5. Thirty more tickets were sold at door than in advance, and was collected. How many of each kind of ticket were sold? Write your answer in a sentence.

Answers

Answer:

Number of tickets sold in advance = 310

Number of tickets sold  at the door = 340

Step-by-step explanation:

Note: This question is not complete. The complete question is therefore provided before answering the question as follows:

For the school play, the advance tickets cost $3, while tickets at the door cost $5. Thirty more tickets were sold at the door than in advance, and $2630 was collected. How many of each kind of ticket were sold?

The explation of the answer is now given as follows:

Let a represents number of tickets sold in advance. Therefore, we have:

a = number of tickets sold in advance at $3 each

a + 30 = number of tickets sold  at the door at $5 each

The total amount collected can be represented by this equation:

3a + 5(a + 30) = 2630

Solving for a, wee have:

3a + 5a + 150 = 2630

8a = 2630 - 150

8a = 2,480

a = 2,480 / 8

a = 310

Therefore, this implies:

Number of tickets sold in advance = 310

Number of tickets sold  at the door = a + 30 = 310 + 30 = 340

Rena has posters that measure 8 inches wide by 10 inches tall. If she uses a poster maker which creates similar posters, what is the area of the poster if the height of the poster is 35 inches?

Answers

Answer:

B . 980 just trust me

Step-by-step explanation:

You set up proportions

Help with number 2 please

Answers

I’m not sure what the answer is, i’ve been staring at it for quite a while. But i need p0ints, so thank you.

Answer:

3 in a half miles

Step-by-step explanation:

solve (−8x−12)+(9x+4)=

Answers

(-8x-12) + (9x+4)
= -8x+9x-12+4
= X - 8

Hi there, I just want to say happy new year and have a great rest of your day!
Also, can you please mark my answer as the brainliest answer?
Thank you!

On average, Shawnee drinks 1/2 of a 6 ounce glass of water in 2/3 hour. How much water does she drink in an hour?

Answers

Answer:

1/2 of 6 = (1/2)*6 = 0.5*6 = 3

Shawnte drinks 3 ounces of water in 2/3 hrs.

3 oz = 2/3 hr

3*(3 oz) = 3*(2/3 hr) .... multiply both sides by 3

9 oz = 2 hrs

She drinks 9 ounces of water in 2 hrs

9/2 oz = 2/2 hrs .... divide both sides by 2

4.5 oz = 1 hr

She drinks 4.5 ounces of water in 1 hour.

What is the multiplayer for a 3% increase?

Answers

Answer:

3% = 0.03

verified with calculator

to the nearest 50 square feet what is the area of the actual store?​

Answers

the answer is C have a good day

Brainliest...I have to post a few of these cause I forgot to study for this assignment....

Answers

Answer:

-1

Step-by-step explanation:

you do 1/1 which is 1. because the line is negative, the answer is -1

For the following ordered pairs is the X value positive or negative?
(-2, 1)
(3, -4)
(-4, 6)
(1, -3)

Answers

(-2, 1) x is negative
(3, -4) x is positive
(-4, 6) x is negative
(1, -3) x is positive
hope this helps!

I need help with this

Answers

Answer:

The order is from top to bottom just an FYI :)

First blank: 1

Second blank: 7

Third blank: 4

Step-by-step explanation:

I did the division, got the answer as 1.1, so the first blank is 1. The second blank should be 7 and the third blank should be 4 so that the numbers subtract to 0.

If LN = 12x + 16, what is the length of Line segment L N in units?

Answers

Answer:

Step-by-step explanation:

16 units 40 units 48 units 64 units.

Answer:

64 units

Step-by-step explanation:

Given M lies on LN, so LN = LM + MN --------------(1)

LN = 12x + 16

LM = 10x + 8

MN = 5x - 4

Substituting the values in equation 1, we get:

12x + 16 = (10x + 8) + (5x - 4)

12x + 16 = 15x + 4

15x - 12x = 16 -4

3x=12

Therefore x=4

LN= 12(4) + 16 = 64 units

please help its algebra 1

Answers

Answer: She can take 25 students.

Step-by-step explanation:

If she has 150 dollars and the bus costs 100, and she only charges 2 dollars each, then 50 divided by 2 equals 25

Answer:

I think 25 students

Step-by-step explanation:

Her budget is $150 .She is already paying $100 for the bus so you have $50 dollars now.If each student is charged $2 all you have to do is divide $50 by 2 and that gets you 25.So 25 students.Hope this helped =)

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