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Over [174]
4 years ago
5

Can someone show me how to convert a repeating decimal into a rational number?

Mathematics
1 answer:
KatRina [158]4 years ago
8 0

Move the decimal point to the right the number of places equal to the number of repeating digits. Subtract the original number. (Digits after the first instance of the pattern will be canceled.) Divide the result by a number of 9s equal to the number of repeating digits. Simplify the result.

_____

Example: 5.3181818_18

There are 2 repeating digits, so we subtract ...

... 531.8_18 -5.3_18 = 526.5

and divide by 99 . . . . . . two 9s, one for each of the two repeating digits

... = 526.5/99 = 5625/990 = 117/22 = 5 17/22

_____

More formally, if S is the value of the original number, and it has n repeating digits, you compute

.. (S·10^n - S)/(10^n -1) = S(10^n -1)/(10^n -1) = S

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Line q has a slope of 5/3. Line r is parallel to line q. What is the slope if line r?​
seropon [69]

Answer:

The slope remains a constant m=\frac{5}{3} as it is parallel.

Explanation:

1. Line Q is defined as a slope of \frac{5}{3}; i.e. y=\frac{5}{3}

2. Line R is defined to be parallel of Line Q.

3. Line Q is linear and has no domain restrictions.

The definition of being parallel requires the same slope.

5 0
3 years ago
Evaluate x divided 4 for x=48
scoray [572]
You have to divide 48 by 4. How many times does 4 go into 48.....................12 times.
3 0
3 years ago
12x + 4 divided by 4 plus 20x + 5 divided by 5
Rasek [7]
12x + 4 ➗ 4 + 20x + 5 ➗ 5

1. PEMDAS (order of operations) solve the division problems

(4 divided by 4 & 5 divided by 5)
12x + 1 + 20x + 1

2. Swap around the order of operations as commutative property states that you can swap the order of an addition problem and get the same answer.

12x + 20x + 1 + 1

3. Add like terms

32x + 2

This is the most simplified answer you could get as you can not add 32x and 2 as they are not like terms.
6 0
3 years ago
Identify the type I error and the type II error that corresponds to the given hypothesis. The proportion of people who write wit
aalyn [17]

Answer:

Step-by-step explanation:

The type I error occurs when the researchers rejects the null hypothesis when it is actually true.

The type II error occurs when the researchers fails to reject the null hypothesis when it is not true.

Null hypothesis: The proportion of people who write with their left hand is equal to 0.23: p =0.23

Type I error would be: Fail to reject the claim that the proportion of people who write with their left hand is 0.29 when the proportion is actually different from 0.29

Since 0.29 is assumed to be the alternative claim.

Type II error would be: Reject the claim that the proportion of people who write with their left hand is 0.29 when the proportion is actually 0.29

Still with the assumption that 0.29 is the alternative claim.

3 0
3 years ago
15pts please help asap<br> 2.5 as an improper fraction?
RideAnS [48]
2.5 = 2 5/10 as a Mixed fraction

To get a improper fraction, multiply the whole number with the denominator, and then add the numerator to the answer, giving the numerator (keep the denominator number)

2 x 10 = 20
20 + 5 = 25

25/10 is your answer

hope this helps
6 0
3 years ago
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