Your Assignment
What is the fractional equivalent of the repeating decimal n = 0.1515... ?
Answer the questions to find out.

1. How many repeating digits does the number represented by n have?


Write your answer in the space below.















2. You need to multiply n by a power of 10 to help you find the fraction. Decide on the power of 10 to multiply by, and tell how you identified that number.


Write your answer in the space below.















3. Write an equation where the left side is your power of 10 times n and the right side is the result of multiplying 0.1515... by that power.


Write your answer in the space below.















4. Write the original equation, n = 0.1515... underneath your equation from question 3. Then subtract the equations. Show your work.


Write your answer in the space below.















5. Write n as a fraction in simplest form. Show your work.


Write your answer in the space below.














Answers

Answer 1

Answer:

Step-by-step explanation:

(Please see the picture attached)

The reason we multiply x by 100 is because 0.1515... has 2 repeating digits and 100 has two zeros.

I hope this helps! A brainliest would be much appreciated :)

Your AssignmentWhat Is The Fractional Equivalent Of The Repeating Decimal N = 0.1515... ?Answer The Questions
Answer 2

The equivalent fraction for the given repeating decimal is 15/99.

The given decimal is 0.1515.....

We need to represent the given repeating decimal to an equivalent fraction.

How to convert a repeating decimal to a fraction?

The repeating decimal to fraction steps of conversion are given below:

Step 1: Identify the repeating digits in the given decimal number.

Step 2: Equate the decimal number with x or any other variable.

Step 3: Place the repeating digits to the left of the decimal point by multiplying the equation obtained in step 2 by a power of 10 equal to the number of repeating digits. This way you will get another equation.

Step 4: Subtract the equation obtained in step 2 from the equation obtained in step 3.

Step 5: Simplify to get the answer.

Now, in the given repeating decimal 2 digits are repeating.

Take, n=0.1515....--------(1)

Multiply both sides of equation (1) by 100.

That is, 100n=15.1515.......(2)

Now, subtract equation (1) from equation (2).

That is, 100n-n=15.1515......-0.1515......

⇒99n=15

⇒n=15/99

Therefore, the equivalent fraction for the given repeating decimal is 15/99.

To learn more about repeating decimal to fraction visit:

https://brainly.com/question/1548905.

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Related Questions

Please help I’ll give Brainly if correct if u actually know the answer

Answers

Answer:

7/4 or 1 1/4

Step-by-step explanation:

1/2=2/4

2/4 x 4 =8/4=2

8/4-1/4=7/4

the answer could be 7/4 or 11/4

There are 8 billion people on earth. if you counted one number every second, how many days would it take to count to 8 billion?

Answers

Answer:

It might be 691200000000000

Step-by-step explanation:

Tell me if i am wrong.

Sorry if it is wrong and please correct me

Somewhere around 93000 days

Question is in the image.

Find the volume of the square pyramid.

Base: 10
Height: 12

Answers

Answer:

V=400

Step-by-step explanation:

Volume= 1 3 ( base area ) ( height )and when you fill in the blanks with the information provided you get 400

Volume= 1 3 ( base area ) ( height )and when you fill in the blanks with the information provided you get 400

needs some help please!

Answers

Answer:

72 degrees

Step-by-step explanation:

Because you want subtract both of the number from 180 because triangles angles always have to equal 180 degrees. I hope that helped! :)

85 + 23 + z = 180
108 + z = 180
Z = 180 - 108
Z = 72

I need help with this

Answers

Answer:

1=2 2=5 3=3 5=1

Step-by-step explanation:

Krista’s mom has told her she need to make the pen 1 2 the size that she had planned (5 feet long by 4 1 2 feet wide). What will the area be? What are two possible lengths and widths she could use? u will receive brainliest

Answers

Step-by-step explanation:

5*4.5=22.5

22.5/2=11.25

11.25=3*3.75

11.25=5*2.25

Help pls! answer fast BUT ONLY ANSWER IF YOUR SURE ITS CORRECT

Answers

Answer: The answer is B- 45

Step-by-step explanation:

middle on left is 4 middle on right is 5

B-45
find the overall number of employees (19) and then find the middle of that (19/2=9.5) as it is not a whole number, we round to 10th number
count along until you get to the tenth number

Map of the City Zoo A triangle with points zebras, monkeys, and lions. The distance from zebras to monkeys is 52 feet and from monkeys to lions is x feet. A triangle with points lions, tigers, elephants. The distance from lions to tigers is 96 feet and from tigers to elephants is 78 feet. The path from the zebras to the monkeys is parallel to the path from the tigers to the elephants. What is the distance between the lions and monkeys? 1. Proportion: 52 78 = x 96 2. Cross-multiply: 4992 = 78x 3. Solve: The distance between the lions and the monkeys is feet.

Answers

Answer:

64 units

Step-by-step explanation:

Hello! This is a proportion problem

52 is a smaller proportion to 78.

X is a smaller proportion to 96.

Since this both have the same ratio scale, we can set them equal to each other, remembering to put the smaller number from each one on the top.

(52/78)=(x/96)

Now we can just solve for X:

(96*52)/(78) = 64 = X

Our answer is in feet so 64 feet is the distance between the lions and the monkeys.

It is 64 units I really don’t want to get into detail just take my word

Pls help im stuckkk ahhh

Answers

B ^ 2, as its a tenth

Answer:

10

Step-by-step explanation:

What is the surface area of the square pyramid represented by the net?

Answers

Answer:

40.32092

Step-by-step explanation:

A=a2+2aa2

4+h2=32+2·3·32

4+52≈40.32092

40.32092 that is the answer

can you help me please

Answers

Answer:

1,131 sq in.

Multiply length, times width, times height.

▬▬▬▬▬▬The math▬▬▬▬▬▬

8.7

13

10

1,131

▬▬▬▬▬The conclusion▬▬▬▬▬

Hope this helps!

Have a great day.

The person above me is correct!

Hailey bought 3 pounds of apples for $7.70. How much did she pay per pound?

Answers

2.57 is the anwser. it comes out to be 2.56666667 which woukd round up to 2.57

Answer:

About $2.57

Step-by-step explanation:

$7.70 / 3

2.566666667...

Rounds 2.566666667... to the nearest hundreth:

2.57

Double check:

$2.57 (a pound) × 3 (pounds) = $7.71

Since we rounded 2.566666667... to the nearest hundredth, the answer may be slightly off by a few decimals, and that's okay.

Therefore, this answer is correct.

Hailey pays about $2.57 per pound of apples.

Tony loves collecting toy cars. He wants to write a story problem for his math assignment using the topic of cars, and as the equation. Help Tony write a story problem using the equation and topic he chose, and then solve it.

Answers

Answer:

Tony gets 2 cars from his aunt. One breaks, and he throws it away. How many cars are left?

Answer to the problem: 1

Pleaseee help me and answer correctly and you will get brainliest!!!

Answers

A, five units right, two units up for the distance between each l and each m.
A because it goes to the right 5 times then up 2 points! Hope that helps

could someone pls help me? thank you

Answers

Answer:

A. $57.95

C. $12,509.49

Step-by-step explanation:

(dont understand B.)

help me last this is a test I'll give brainliest to the person with the correct answer​

Answers

Answer:

22ft^3

Step-by-step explanation:

Find the volume of one wooden cube block. Each of the edge length is 1/2

Volume of cube = l x w x h

l = 1/2      w = 1/2       h = 1/2

1/2 x 1/2 x 1/2 = 1/8

Then find the volume of the total box with how much total wooden blocks there are.

They are 176 wooden blocks.

Volume of one wooden cube block x the total number of wooden cube blocks = total volume of box.

So you do 1/8 x 176 and with that, the volume is 22ft^3.

Find the length of the unknown side. Round your answer to the nearest whole number.

A).7 m

B).9 m

C).10 m

D).12 m

Answers

Answer:

C). 10

Step-by-step explanation:

Using the Pythagorean theorem, a^2+b^2=c^2

We know the two sides (a and b) and are trying to find the hypotenuse (c).

Substitute the known values:

7^2+7^2=c^2

Simplify and solve:

49+49=c^2

98=c^2

sqrt(98)=c

c=9.899

Rounded to the nearest whole number would be 10

Let me know if you need any other clarification!

The answer to your question is C) 10 m

Add a sign in between the spaced numbers

9 6 2 5 2 9 =433

Answers

Answer:

-

Step-by-step explanation:

962-529=433

Answer:

963 - 529 = 433

Step-by-step explanation:

592 plus 433 is 963 so 963 minus 529 is 433

I have tried 912850538475 times to solve this and I can't get it please someone help me with this );

Answers

Answer:

Step-by-step explanation:

She multiplied the popcorn by 15 so just multiply the other ingredients by 15 too

I’m late, sorry! But here is what I got : 1•15= 15 bags of popcorn. 3 3/4 • 15= 56 1/4 cups of pretzels . 2 1/4 • 15= 33 3/4 cups of m&m’s . Im not sure about the constant of proportionality but the equation to help solve it would be y=kx I’m pretty sure and I think the constant is 15 but it probably isn’t.

Could anyone help me with these questions? I will mark brainliest and PLEASE show all the work.

Answers

Answer:

4: 321.5cm²

5: Length of fencing = 62.46cm, Area of Yard: 232cm²

6: Area of 1 sign: 3950cm². Paint cans needed: 237

Step-by-step explanation:

4:

Area of Machine = Area of Square - 1/4 Area of Circle taken away

Area of Machine = (20x20) - 1/4(π10²)

Area of Machine = 400 - 1/4(3.14 x 100)

Area of Machine = 400 - 1/4(314)

Area of Machine = 400 - 78.5 = 321.5cm²

5: The perimeter of this figure is the length of fencing needed. The area of the yard can be figured out:

Perimeter: We're missing one side. So what we need to see here, is that the figure has a hidden triangle. Do you see it? its a missing right angle triangle, and we can use the Pythagorean theorem to find the hypotenuse, which is the missing side:

a² + b² = c²

16² + 7² = c²

256 + 49 = c²

305 = c²

c ≅ 17.46cm

now that we know the last dimension of the trapezoid, the Perimeter is known to be 11 + 16 + 18 + 17.46 = 62.46cm

Area = 1/2(b1+b2) x h

Area = 1/2(11 + 18) x 16

Area = 14.5 x 16 = 232cm²

6:

Area of 1 Sign = Area of rectangle + Area of Triangle

Area of 1 Sign = (90x30) + 1/2(50 x 50)

Area of 1 Sign = 2700 + 25x50

Area of 1 Sign = 2700 + 1250 = 3950cm²

.: area of 6 signs will be 6 x 3950 = 23,700cm²

If one can of paint covers 1 squared meter, then it covers 100 squares cm. So it will take 23700/100 = 237 paint cans to cover all 6 signs :)

Hope this helped!

they took all the words out of my mouth but i agree with them! ^

Activity B:

Low-pressure systems
Get the Gizmo ready:
Click New until you see a low-pressure system, represented by the symbol L.
Check that Show Mobile Station B data and Show land are on.




Question: What weather patterns are associated with low-pressure systems?


Observe: Note how the air pressure changes as you move Station B towards the center of the low-pressure system.
What do you notice?



Why do you think this is called a low-pressure system?

Answers

Answer:

clouds

Step-by-step explanation:

Low-pressure systems are associated with clouds and precipitation that minimize temperature changes throughout the day, whereas high-pressure systems normally associate with dry weather and mostly clear skies with larger diurnal temperature changes due to greater radiation at night and greater sunshine during the day.

I observe that when moving closer to station B the elevation as well as how close it is to the clouds is making the pressure more/less. also there could be more clouds there making the pressure more high or low.

Areas where the air is warmed often have lower pressure because the warm air rises. These areas are called low pressure systems. ... A low pressure system has lower pressure at its center than the areas around it. Winds blow towards the low pressure, and the air rises in the atmosphere where they meet.

:) hope helped.

Answer:clouds

Step-by-step explanation:

Low-pressure systems are associated with clouds and precipitation that minimize temperature changes throughout the day, whereas high-pressure systems normally associate with dry weather and mostly clear skies with larger diurnal temperature changes due to greater radiation at night and greater sunshine during the day.

I observe that when moving closer to station B the elevation as well as how close it is to the clouds is making the pressure more/less. also there could be more clouds there making the pressure more high or low.

Areas where the air is warmed often have lower pressure because the warm air rises. These areas are called low pressure systems. ... A low pressure system has lower pressure at its center than the areas around it. Winds blow towards the low pressure, and the air rises in the atmosphere where they meet.

Step-by-step explanation:

PLS HELP :< ILL GIVE U 25 BRAINLY THINGY POINTS!!!! there are 2 parts.

Answers

Answer:

I don't know

Step-by-step explanation:

Not got a clue, it’s mad confusing

help please?? < 3
Determine how to translate triangle ABC to triangle A'B'C'.
1-left 2, up 9
2-left 2, down 9
3-left 2, up 5

Answers

C is the answer to this question

What is the absolute deviation of 4 in this data set? {6, 22, 14, 9, 11, 4} 2 3 7 11

Answers

Answer:

4

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Find the solution to 6 divided by 1/3 , using either the flip and multiply method or common denominator method.
6/18
1/18
6
18

Answers

Answer:

18

Step-by-step explanation:

6/ 1/3

1. Keep  6/ 1/3

2. Change 6 x 1/3

3. Flip 6 x 3/1

4. Answer 18

Savings
The graph shows the savings in Andre’s bank account.

Answers

1. 20/4 = 5
this is because it’s rise over run for slope.

2. the meaning is that over time spent working, savings will add up.

The slope of this line is $5. This means Andre is saving $5 per week in bank.

What is the general equation of a straight line?

The general equation of a straight line is -

y = mx + c

Where -

[m] is the slope of the line.

[c] is the y - intercept.

Given is a graph showing savings in Andre’s bank account.

The coordinates through which the line passes are -  (0, 40) and (4, 60)

Then the slope of this line will be -

m = (60 - 40)/(4 - 0) = 20/4 = 5

A slope of $5 means that Andre is saving $5 per week at bank.

Therefore, the slope of this line is $5. This means Andre is saving $5 per week in bank.

To solve more questions on straight line graphs, visit the link below-

brainly.com/question/2954112

#SPJ1

3 5/6
as a fraction greater than 1

Answers

Answer:

yes 3 5/6 is greater than 1

Answer: yes it’s greater than one 3 5/6 > 1

Step-by-step explanation:

If 11 1/2 inches of rope is being cut into 1 1/2 inch pieces, how many pieces of rope can be cut?

Answers

Answer:

7pieces

Step-by-step explanation:

Let's suppose that x = the number of ropes that can be cut.

➡[tex]X = 11\frac{1}{2} ÷ 1\frac{1}{2}[/tex]

➡[tex]X = 11.5 ÷ 11.5[/tex]

➡[tex]X \approx 7.66[/tex]

➡[tex]X = \bf 7pieces[/tex]

What steps would you take in order to solve the equation 1/2m + 61 = 39 ?

add 61 and multiply by 1/2
add 61 and multiply by 2
subtract 61 and multiply by 1/2
subtract 61 and multiply by 2

Answers

D. Subtract 61 and multiply by 2

Answer:

D. Subtract 61 and multiply by 2 to get your answer.

Step-by-step explanation:

PLEASE HELP NOWWW ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

i know the answer. its 6532x
Answer:6532x


Explanation:
Other Questions
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