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Alex777 [14]
3 years ago
8

Which fraction converts to a repeating decimal number?

Mathematics
2 answers:
nekit [7.7K]3 years ago
8 0

Answer:

Step-by-step explanation:

your answer is A, 1/12

musickatia [10]3 years ago
5 0
<h3>Answer: A) 1/12</h3>

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

Explanation:

Using a calculator shows that

  • 1/12 = 0.0833333.... where the 3's go on forever
  • 7/8 = 0.875
  • 14/25 = 0.56
  • 17/20 = 0.85
  • 6/10 = 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.

----------------------

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.

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Two-digit natural numbers are formed, with replacement, from the digits 0 through 9.
alexdok [17]

Answer:

The first digit of a two digit number can be any of digits 1 - 9. It cannot be 0 though. Therefore there are 9 possible digits for the first place.

There are 5 possible digits for the second position. The two digit number has to be odd and therefore the final digit must be 1,3,5,7 or 9

Therefore for each and every one of the nine first digits there are 5 digits that the second can be.

Therefore ANSWER = 9 * 5 = 45 possible permutations.

2. The largest two digit number = 99

Subtract 57 and you get 42

ANSWER = 42

The forty two numbers are 58 ,59, 60, 61......98, 99

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nataly862011 [7]

Answer:

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Step-by-step explanation:

Hope that helps!

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Please help me and make sure to show your work
irina1246 [14]
Answer: C 20

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3 years ago
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HURRY INVERSE OF A FUCTION​
Anon25 [30]
Here is how we get the answer....
First, replace f(x) with y . ...
Replace every x with a y and replace every y with an x .
Solve the equation from Step 2 for y . ...
Replace y with f−1(x) f − 1 ( x ) . ...
Verify your work by checking that (f∘f−1)(x)=x ( f ∘ f − 1 ) ( x ) = x and (f−1∘f)(x)=x ( f − 1 ∘ f ) ( x ) = x are both true.
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Find each missing length, make sure you give both exact AND approximate. Brainliest + 50pts
goldenfox [79]

#1

  • B²=15²-7²
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  • B²=176
  • B=13.26(exact)
  • B=13.3(approx)

#2

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  • B²=240
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  • B=15.5

#3

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#4

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3 0
2 years ago
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