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Margaret [11]
2 years ago
11

Write the recurring decimal 0.2 as a fraction in its simplest form.

Mathematics
2 answers:
kompoz [17]2 years ago
8 0

Answer:

0.\.{2}=\dfrac{2}{9}

Step-by-step explanation:

Let x equal the recurring decimal:

x=0.\.{2}=0.2222\dots

Multiply both sides by 10:

\implies 10x=2.222\dots

Eliminate the recurring part of the decimal by subtracting the equation of x from the equation of 10x:

\begin{array}{ l r c l}& 10x & = & 2.222...\\\\- & x & = & 0.2222...\\\\\cline{1-4}\\& 9x & = & 2\end{array}

Divide both sides by 9:

\implies x=\dfrac{2}{9}

BabaBlast [244]2 years ago
5 0

Answer:

\sf \bold{\dfrac{2}{9}} }

Explanation:

Recurring decimal means the number keeps repeating.

0.2 is the recurring digit

x = 0.2222...

10x = 2.2222...

10x -x = 2

9x = 2

x = 2/9

0.222... ≈ 2/9

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45 is the father's age

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7 0
2 years ago
The price of a computer was decreased by 30% to £147. What was the price before the decrease?
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Answer:

£210

Step-by-step explanation:

A decrease of 30% represents 70% of the original cost.

100% represents the original cost

Divide the price by 70 to find 1% then multiply by 100 for original cost

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Is n^2+50n+25 a perfect square
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2 years ago
Insurance companies A and B each earn an annual profit that is normally distributed with the same positive mean. The standard de
krok68 [10]

Answer:

C. 0.98

Step-by-step explanation:

Let x be the mean of Company A and B annual profit and x/2 and y are standard deviation of Company A and B annual profit.

P(B<0) = 0.9*P(A<0)

P(Z<(0-x)/y) = 0.9*P(Z<(0-x)/(x/2))

P(Z<-x/y) = 0.9*P(Z<-2)

P(Z<-x/y) = 0.0205

x/y =2.04

Or y/x = 1 /2.05

y/x =0.49

Ratio of the standard deviation of company B annual profit to the standard deviation of company A annual profit =y/(x/2)

= 2*(y/x)

= 2*0.49

= 0.98

7 0
2 years ago
100 equals 15 minus x divided by 5
zloy xaker [14]
The answer is -485. 

To find this we first need to get rid of the 5 in the denominator. 

100 = \frac{15 - x}{5}

So we multiply each side by 5. 

 500 = 15 - x

Now we need to get rid of the 15. So we subtract 15 from both sides. 

485 = -x

Then since our x is negative, we need to divide by -1. 

-485 = x
7 0
3 years ago
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