Which fraction converts to a repeating decimal number?
OA. 1/12
OB. 7/8
OC. 14/25
OD. 17/20
OE. 6/10

Answers

Answer 1
Answer: A) 1/12

=======================================================

Explanation:

Using a calculator shows that

1/12 = 0.0833333.... where the 3's go on forever7/8 = 0.87514/25 = 0.5617/20 = 0.856/10 = 0.6

We see that nearly all of the decimal values are terminating decimals. This means the decimals don't go on forever, so the decimals stop at some point.

Only 0.083333... goes on forever, so that's why 1/12 converts to a repeating decimal number.

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A way you can determine this without a calculator is to use long division. Or you could use the idea that if the denominator has prime factors other than 2 and 5, then the decimal will repeat forever.

Note how the denominators of the fractions for choices B through E all have prime factors of either 2s only, 5s only, or a mix of 2s and 5s. This fact is why we have terminating decimals here.

In contrast, 12 has prime factorization 2*2*3. That 3 as a prime factor is why the decimal repeats forever.

Answer 2

The only fraction that converts to a repeating decimal number is 1/12.

What is decimal?

Decimal is a fraction whose denominator is a power of ten and whose numerator is expressed by figures placed to the right of a decimal point.

Given is to find a fraction that converts to a repeating decimal number.

Repeating decimals are the decimals of the form -

2.7777...

2.34343434...

2.43434343....

Now, we have the fractions and their corresponding decimal numbers as follows -

1/12 = 0.0833333333333333 : Yes7/8 = 0.875 : No14/25 = 0.56 : No17/20 = 0.85 : No6/10 = 0.6 : No

Therefore, the only fraction that converts to a repeating decimal number is 1/12.

To solve more questions on decimals, visit the link-

https://brainly.com/question/11951473

#SPJ1


Related Questions

is 20 a prime or composite number.​

Answers

Answer: It is a composite number since it has more factors than just itself and 1.

Step-by-step explanation:

1x20=20

2x10=20

4x5=20

Answer:

composite

Step-by-step explanation:

It has factors other than 1 and 20; Its factors are 1, 2, 4, 5, 10, and 20.

HTH :)

What is the value of x?
-5x – 2 = -13

Answers

Answer:

2.20

Step-by-step explanation:

So add +2 both sides that cancels 2 and that makes it -11.00 now divide it by -5 and x is by itself

So when you divide it x=2.20

Hope that helps

Answer:2.2 there you go have a nice day

I need help I don’t understand

Answers

Answer:

x=50

Step-by-step explanation:

A= 30+2x

B= x

Supplementary angles are angles that always add up to 180 degrees.

therefore, A + B=180 degrees

30 + 2x + x = 180: Now we solve

30 + 3x =180

subtract 30 from both sides

3x=150

divide by 3

3x/3 = 150/3

x= 50

The midpoint of AB is M(-6,1). If the coordinates of A are (-5,7), what are the
coordinates of B?

Answers

Answer:(7,-3)

Step-by-step explanation:

The answer is 73 only if u subtract

69 answer this

420
69
420

Answers

do you want us to add, subtract, multiply, divide...what..?

Answer:

the answer is 420 666 6969

Step-by-step explanation:

The length of each square on the grid represents 1 cm. The scale
from an actual rectangle to the drawing is 24 in. to 1 cm. Make a
new scale drawing where each centimeter represents 16 in.
Label the length and width of your drawing in centimeters.

Answers

Answer:

40.64 cm x 40.64 cm

Step-by-step explanation:

The directions say that 1 centimeter = 16 inches.

1 inch = 2.54 centimeters

Multiply by 16.

16 inches = 40.64 centimeters

We know each length of the square is 1 cm or 16 inches, according to the above.

(btw problem says rectangle, a square can be a rectangle.)

4x^2-21x-18=0
Find the discriminate

Answers

a = 4, b = -21, c = -18

to keep from getting "mixed up", evaluate the discriminant first ...

b<sup>2</sup> - 4ac = (-21)<sup>2</sup> - 4(4)(-18) = 729

sqrt(729) = 27

x = (21 +/- 27)/8

x = -3/4, x = 6

since the discriminant is a perfect square, the original quadratic will factor ...

4x<sup>2</sup> - 21x - 18 = 0

(4x + 3)(x - 6) = 0

x = -3/4, x = 6

Answer:729

Step-by-step explanation: Use the values of a, b and c to find the discriminant. Which is 729

Please help!!
What is the maximum value of 3x + 5y in the feasible region?
(3, 7)
(0,7)
(6, 3)
(6, 0)

Answers

Answer:

Minimum value is 18

It occurs at P(6,0)

Step-by-step explanation:

The given objective function is  

The vertices of the feasible region are .

We plug in the vertices in to feasible region and evaluate to obtain,

 P(0,7) = 3(0) + 5(7)

P(0,7) = 0+35

P(0,7) = 35

P(3,7) = 3(3) + 5(7)

P(3,7) = 9+35

P(3,7) = 44

P(6,3) = 3(6) + 5(3)

P(6,3) = 15+15

P(6,3) = 33

P(6,0) = 3(6) + 5(0)

P(6,0) = 18+0

P(6,0) = 18

PLEASE HELP!!

Enter numbers into the table so that the paired values are in a proportional relationship.

x 2 6 8 (?) 20
y (?) 3 4 6 10

fill the (?) in.

Answers

Answer: x is, 2 6 8 10 20-- i think

Step-by-step explanation: y is, 2 3 4 6 10

Answer:

ya he's rite

Step-by-step explanation:

Please help ASAP Thank you

Answers

Answer:

we need the whole question

Step-by-step explanation:

post the whole question

Guys quickly what is 1% of 75?

Answers

Answer:

the answer is 0.75

...................................

Isn’t it .75 ??

I’m not sure I forgot how to do this

all ratios equivalent to 5:2.

Answers

Answer:

10 : 4, 15 : 6, 20 : 8, 25 : 10, 30 : 12, 35 : 14, 40 : 16, 45 : 18, 50 : 20, 55 : 22 60 : 24 65 : 26 70 : 28 75 : 30 there are many many more

Step-by-step explanation:

divide nine by three, then subtract two double the results

Answers

Answer:

2

Step-by-step explanation:

hope this helps

Answer:

-3

Step-by-step explanation:

because nine divided by 3 is 3 then subtract 3 which is 0 then subtract 3 again which is -3

Please help so I can finally finish my hw

Answers

Answer:

That's confusing

Step-by-step explanation:

Answer:

I am very sorry I don’t know how to do this sorry maybe next time

Step-by-step explanation:

please help asap im super behind :(

Answers

Answer:

y   x

2   3

3   6

4   9

5   12

Step-by-step explanation:

if y = 2 then x = 3

if y = 3 then x = 6

if y = 4 then x = 9

if y = 5 then x = 12

Half of a number x is equal to 9 less than 2 times that same number. What is the
number

Answers

Answer:

[tex]x = 6[/tex]

Step-by-step explanation:

Analyzing the statement one after the other:

Half a number x: [tex]\frac{1}{2}x[/tex]

Equals to: [tex]=[/tex]

9 less than twice that same number: [tex]2x - 9[/tex]

Bring them together, we have:

[tex]\frac{1}{2}x = 2x-9[/tex]

Collect Like Terms

[tex]\frac{1}{2}x - 2x= -9[/tex]

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

[tex]\frac{x - 4x}{2} = -9[/tex]

[tex]\frac{ - 3x}{2} = -9[/tex]

Multiply through by 2

[tex]2 * \frac{ - 3x}{2} = -9 * 2[/tex]

[tex]- 3x = -18[/tex]

Divide through by -3

[tex]x = 6[/tex]

I have been stuck on this and don’t know what the answer is

Answers

Answer:

x= -1 or x= -11

Step-by-step explanation:

Answer:

i think its D. Im not fully sure

Step-by-step explanation:

SOMEONE JUST GIVE ME THE ANSWER

Answers

Answer: I thought I saw options in the corner could you give me the options? And then I'll give my answer in the comment box;) no worries we'll figure it out!! :)

Step-by-step explanation:

Answer:

Area is 68x^2 the missing number by 3x is 5 and the missing number at the bottom is 4.

Step-by-step explanation:

Answer this for brainest :)

Answers

Answer:

-11/36

Step-by-step explanation:

Answer:

-11/36

Step-by-step explanation:

(-1/3)^2 is equal to 1/9

5/6(-1/2) is equal to -5/12

Adding them, we get 1/9 - 5/12

With a common denominator, this is 4/36 - 15/36, which gives us an answer of -11/36

I would appreciate brainliest, have an amazing day!

A number a is a root of P(x) if and only if the remainder, when dividing the polynomial by x+a, equals zero.
a. true
b. false

Answers

Answer:

Pretty Sure False.

Answer: false

Step-by-step explanation: a pex

This is not math but pls help here are some

Answers

Answer:

There is nothing here do you have a question I would be happy to help!!!:)

Step-by-step explanation:

198.8 grams ≈ ounces

Answers

Answer:

7.0124636 ounces

Step-by-step explanation:

Im really sorry if this is wrong but I think it's right

What number when multiplied by 113 has a product of 1

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Answer:

3/4

Step-by-step explanation:

Answer:

1/13

Step-by-step explanation:

copied of that person

the sum of a number and 6 is no less than 31​

Answers

Answer:

n + 6 > 31

Step-by-step explanation:

In 91.72 which digit is in the tens place?​

Answers

Answer:

9

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91=9-1 9 in 90 so its 9.

so therefore your answer is 9

Step-by-step explanation:

Whoever can answer this correctly gets Brainliest + 20 Points! Make sure to explain to me how you got your answer so I can understand and be on the same page as you.

Answers

Answer:

1.

Step-by-step explanation:

both A and B are functions

Ramon earns $1,880 each month and pays $53.20 on electricity. To the nearest tenth of a percent, what percent of Ramon's earnings are spent on electricity each month?

Ramon spends % of his earnings on electricity each month.

Answers

Answer:

my buttholw

Step-by-step explanation:

Express 0.00419 in standard form

Answers

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An animal shelter spends $3.00 per day to care for each cat and $5.00 per day to care for each dog. Penelope noticed that the shelter spent $69.00 caring for cats and dogs on Tuesday. Penelope found a record showing that there were a total of 17 cats and dogs on Tuesday. How many cats were at the shelter on Tuesday

Answers

Answer:

x=16

Step-by-step explanation:

pls help ill mark brainliest​

Answers

Answer:

No solution or B

Step-by-step explanation:

Multiply eq1 by 3.

3y=18x+6

3y-18x=12

Regroup:

18x-3y=-6

-18x+3y=12

Add:

0=6???

Impossible

So no solution.

Hope this helps plz mark brainliest :D

Answer:

No solution

Step-by-step explanation:

First we need to solve the equations.

I'll use the combining method

To do the combining method you need to get one of the variables in the first equation to be the negative correspondent to the same variable in the second equation.

(Ex:

If there was 2x in the first equation we would want there to be -2x in the second so they cancel out.)

y=6x+2

subtract 6x from each side to get the variables to line up

y-6x=2

3y-18x=12

To get -6x to equal 18x, we will multiply everything in the first equation by -3

-3y+18x=-6

3y-18x=12

Now combine the two terms

-3y and 3y cancel out

18x and -18x cancel out

-6+12=6

We are left with 0=6.

0 does not equal 6 so there is no solution.

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