Prove that the recurring decimal 0.39 = 13/33

Answers

Answer 1
Answer: x=0.\overline{39}\n100x=39.\overline{39}\n 100x-x=39.\overline{39}-0.\overline{39}\n 99x=39\n x=(39)/(99)=(13)/(33)

Related Questions

Distance between (1,2) and (4,6)
The difference between two integers x and -12 is -15. Find the value(s) of x.​
The figure shows a circle inscribed in a triangle.A circle is inscribed within a triangle. To construct the inscribed circle, angle bisectors were first constructed at each angle of the triangle. Which happened next? A circle was constructed using the intersection of the angle bisectors as the center of the circle and the obtuse vertex as a point on the circumference of the circle. A circle was constructed using a vertex as the center of the circle and the intersection of the angle bisectors as a point on the circumference of the circle. Segments perpendicular to the sides of the triangle through the intersection of the angle bisectors were constructed. Segments bisecting each side of the triangle were constructed through the intersection of the angle bisectors.
Share 60 in the ratio 6:4​
Your family goes to a Southern-style restaurant for dinner. There are 6 people in your family.Some order the chicken dinner for $14 and some order the steak dinner for $17. If the total billwas $99, how many people ordered each dinner?

Divide 56 in a ratio of 5:3

Answers

There are 5 "parts" and 3 "parts"; which total "8 parts" (5 + 3 = 8); so, each part must be 56/8 = 7. so each part must be 56/7 = 8 
5 x 7 is 35
3 x 7 is 21 
___________
So the answer is 35:21 .

Give the degree and classify the polynomial by the number of terms. 2x + 1 A. degree: 0; monomial B. degree: 1; binomial C. degree: 0; binomial D. degree: 1; monomial

Answers

If there are no exponents within then the highest power is one. Since there are two terms within (2x and 1) then it is a binomial. 
The Correct answer is B. Degree: 1;Binomial Hoep you get it correct

Latoya drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took 6 hours. When Latoya drove home, there was no traffic and the trip only took 4 hours. If her average rate was 22 miles per hour faster on the trip home, how far away does Latoya live from the mountains

Answers

sorry hun but i believe you got this!!!! But multiply boo trust me



65.2 hours

Which measure results in the highest value for the data given?42,28,35,39,53,12,19,44
A. Range
B. Mean
C. Median
D. Mode

Answers

There is no mode. The median is 37. The range is 41. The mean is 34. Therefore, the answer is the range.

Answer:

A

Step-by-step explanation:

I need major help quickly

Answers

Answer: Hi! The last answer is correct.

4(2) + 4 isn't equal to nine, so it doesn't make sense that Sadie could have scored 4 goals.

Hope this helped!

Answer:

the answer is the last one because if you do 4 times 2 and then add four it would add up to way more than 9.

Step-by-step explanation:

Subtract. Write your answer in simplest form.

5 2/6 - 2 3/6=____

Answers

2 (5)/(6)

Working;
Start by converting both terms into improper fractions;

(32)/(6)-(15)/(6)

This gives;
(17)/(6)

On simplifying;
2(5)/(6)
5 2/6 = 32/6
2 3/6 = 15/6

32/6 – 15/6 = 17/6 = 2 5/6