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:
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 :)
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
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:
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 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!
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!
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
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! :)
108 + z = 180
Z = 180 - 108
Z = 72
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.
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
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
PLEASE HELP NOWWW ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Explanation:
PLS HELP :< ILL GIVE U 25 BRAINLY THINGY POINTS!!!! there are 2 parts.
Answers
Answer:
I don't know
Step-by-step explanation:
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.
could someone pls help me? thank you
Answers
Answer:
A. $57.95
C. $12,509.49
Step-by-step explanation:
(dont understand B.)
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
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
Answer:
D. Subtract 61 and multiply by 2 to get your answer.
Step-by-step explanation:
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
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
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
Pleaseee help me and answer correctly and you will get brainliest!!!
Answers
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.
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:
Pls help im stuckkk ahhh
Answers
Answer:
10
Step-by-step explanation:
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
Hailey bought 3 pounds of apples for $7.70. How much did she pay per pound?
Answers
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.
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
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
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
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
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I need help with this
Answers
Answer:
1=2 2=5 3=3 5=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]
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