Help me with this question

Solved

Show answers

Ответ:

arletsolis23p2cjls

18.11.2020

Mathematics

$\large\boxed{1.\overline{21}=\dfrac{40}{33}}$

Step-by-step explanation:

$x=1.\overline{21}\\\\x=1.212121...\qquad\text{multiply both sides by 100}\\\\100x=121.212121...\\\\\text{subtract x from 100x}\\\\100x-x=121.212121...-1.212121...\\\\99x=120\qquad\text{divide both sides by 99}\\\\x=\dfrac{120}{99}\\\\x=\dfrac{120:3}{99:3}\\\\x=\dfrac{40}{33}$

0,0(0 оценок)

Ask your question to the AI advisor

Ai-bot is an expert in any field and is the perfect companion for reliable and useful answers and advice on a variety of topics, including science, history, technology, art, sports, health, culture and more.

Ask your question

More tips

C Computers and Internet Connecting Your TV to Your Computer: Easy and Fast...
L Leisure and Entertainment How to Make a Crab Trap in Just a Few Minutes...
H Health and Medicine How Much Does Abortion Cost? Expert Answers and Insights...
S Sport How to Build Arm Muscles? Effective Exercises and Tips...
H Health and Medicine When can it be said that a person has a normal pulse?...
A Art and Culture When Will Eurovision 2011 Take Place?...
S Style and Beauty How to Choose the Perfect Hair Straightener?...
F Family and Home Why Having Pets at Home is Good for Your Health...
H Health and Medicine How to perform artificial respiration?...
H Health and Medicine 10 Tips for Avoiding Vitamin Deficiency...

Answers on questions: Mathematics

M Mathematics On a road in the city of madison, the maximum speed is 45 miles per hour and the minimum speed is 35 miles per hour. let x represents the speed. you can write two inequalities...
M Mathematics use the given information to draw a box-and-whisker plot of the data set minimum – 28 maximum – 54 lower quartile – 32 upper quartile – 40...
M Mathematics use the given intervals to make a frequency distribution of the data set. use five intervals beginning with 1–2. 1, 1, 1, 1, 2, 2, 2, 3, 3, 4, 4, 5, 5, 5, 6, 7, 7, 8, 8,...
M Mathematics Hw a researcher in the field of sports biomechanics believes he has found the “ideal” running posture for sprinters. he selects a random sample of 12 high school track...
M Mathematics The bluestar creative agency is developing a new marketing campaign for a client. they have determined that the client s marketing plan must be completed before the graphic...
M Mathematics Which function has a vertex at the origin...
M Mathematics Whats the value of x? 4x=5x-12 x=...
M Mathematics Combine like terms: –10.9p + 3.9 = –9.18 apply the next steps to solve the equation. what is the solution? p =...
M Mathematics Which expression represents 5 less than twice x ? 1. 2x-5 2. 5-2x 3. 2(5-x) 4. 2( x-5)...
M Mathematics Find MP. the measure of MP is...

Ask an AI advisor a question

I want advice