What is the fraction for 0.27 repeating?

1 answer:

5 0

It has a fixed method in regards o finding the fraction for 0.27 repeating. Let us now write down the method for you to understand clearly

Let us assume that

x = 0.27272727.....
Now let us multiply both sides by 100 to get a second equation
100x = 27.272727......
Let us now subtract the first equation from the second. We get
100x = 27.272727......
x = 0.27272727....
We get
99x = 27
x = 27/99
= 3/11
From the above deduction, we can conclude that the fraction for 0.27 repeating is 3/11.

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mayelle earns $18000 a year. After a raise, she earns $19500. Find the percent change and if it’s a decrease or increase

Aneli [31]

Ok, it's all pretty much like the "$50 coat is on sale for $35".

If the regular price of the coat is $50 and now it is on sale for $35, then it will cost you $15 less, like this: 
$50 - $35 = $15 

You could also say the coat was discounted by $15, or the coat was reduced by $15, or you'll save $15 if you buy that coat ($50 - $15 = 35). 

You could also put it in terms of percentages. If the discount is $15, you can figure that $15 is what percent of the regular price, like this: 
$15 = X% of $50 
$15 = X% x $50 (divide both sides by 50 to isolate X) 
15/50 = X% 
.30 = X% (multiply by 100 to convert to a non-decimal) 
30% = X 

So, you can say all of the following and they all mean the same thing: 
1. the $50 coat is on sale for $35 
2. the $50 coat is discounted by $15 
3. the $50 coat is reduced by $15 
4. you'll save $15 if you buy this coat 
5. the $50 coat is on sale for 30% off 
6. the $50 coat is discounted by 30% 
7. you'll save 30% if you buy this coat 
8. 30% savings! 
9. Save 30%! 

So, how does that apply to the $18,000 a year? Ok, if Shelby earns $18,000 this year and then earns $19,500 next year, then she gets an additional $1,500 ($19,500 - $18,000 = $1,500). In the coat problem, everything was discounted, on sale, going down. In this problem, everything is going up, increasing. 

You know the dollar increase is $1,500. To figure the percent increase, you need to figure out that $1,500 is what % of $18,000. Remember, it's not the $19,500 that was increased; it was an increase on the $18,000: 
$1,500 = X% of $18,000 
1,500/18,000 = X% 
.083333 = X% 
8.3333% = X 

One more: If Shelby get a 10% increase in her salary at the end of one year, that's the same as saying that Shelby gets her salary plus she gets 10% more, like this: 

$18,000 + (10% of $18,000) = 
$18,000 + $1,800 = 
$19,800 end of first year 

For the second year, her salary begins at $19,800 and increases 10%, like this: 
$19,800 + (10% x $19,800) = 
$19,800 + $1,980 = 
$21,780 end of second year 

You can do it from here.

8 0

3 years ago

Read 2 more answers

According to a survey by the Administrative Management Society, one-half of U.S. companies give employees 4 weeks of vacation af

andreyandreev [35.5K]

Answer:

$P(2\leq X\leq 5)=0.875$

$P(X$

Step-by-step explanation:

Let the random X variable representing the 6 companies that give 4 weeks of vacation after 15 years of employment:

-let p=0.5 be the probability of vacation. Since the companies are independent, X assumes a binomial random variable: $P(X=x)=b(x;6,0.5)\\\\={6 \choose x}(0.5)^x(0.5)^{6-x}\\\\={6 \choose x}(0.5)^6, \ x=0,1,2,3...\ \ \ eqtn1$

#Probability that the number of companies that give vacation is anywhere from 2 to 5:

We use equation 1;

$P(2\leq X\leq 5)=P(X=2)+P(X=3)+P(X=4)+P(X=5)\\\\={6 \choose 2}(0.5)^6+{6 \choose 3}(0.5)^6{6 \choose 4}(0.5)^6+{6 \choose 5}(0.5)^6\\\\=0.0156(15+20+15+6)\\\\=0.875$