1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Sonja [21]
3 years ago
10

Prove algebraically that 0.5 recurring = 5/9

Mathematics
1 answer:
weeeeeb [17]3 years ago
5 0

Answer:

see explanation

Step-by-step explanation:

We require 2 equations with the recurring part after the decimal point.

Let x = 0.555..... → (1)

Multiply both sides by 10, then

10x = 5.555..... → (2)

Subtract (1) from (2) thus eliminating the recurring decimal

(10x - x) = (5.5555 - 0.5555 ), that is

9x = 5 ( divide both sides by 9 )

x = \frac{5}{9}

You might be interested in
Find the slope of each line
amm1812
2.) line passes through points (-1, -4) and (0, -1)
slope = (y2 - y1)/(x2 - x1) = (-1 - (-4))/(0 - (-1)) = (-1 + 4)/(0 + 1) = 3/1 = 3

4.) line passes through points (0, -3) and (2, 0)
slope = (0 - (-3))/(2 - 0) = (0 + 3)/2 = 3/2

8 0
4 years ago
At last the long evening was over, the last measure danced, the last wine-cup drained, the bride escorted to her chamber, the li
Mrac [35]
<h2><em>A) Gawayne had a conflict with himself because he has married a lady whom he does not love, and he fears lifelong unhappiness. </em></h2>
6 0
3 years ago
The student is asked to solve the equation below and to justify her his step what if anything is the first mistake the student m
OverLord2011 [107]

Answer:

the correct answer should be -2.65

Step-by-step explanation:

the mistake is dividing 17y by 15 instead of 17

7 0
3 years ago
Simplify 2 (n+1) + n² + 4 (n-3)
Gala2k [10]
2 (n+1) + n² + 4 (n-3) 
= 2n + 2 +  n² + 4n - 12 ...expand by using distributive property
=  n² + 6n - 10 ...combine like terms

hope it helps
4 0
3 years ago
Read 2 more answers
Which equation is part of solving the system by substitution?<br> x+y = 11<br> 4x² – 3y² = 8
oksano4ka [1.4K]

Answer:

Equation Form:

x=−√2549+132√365,y=44+2√365

x=√2549−132√365,y=44−2√365

Step-by-step explanation:

Point Form:

(−√2549+132√365,44+2√365),(√2549−132√365,44−2√365)

8 0
4 years ago
Read 2 more answers
Other questions:
  • The volume of a square pyramid is 6 2 3 cubic inches, and its height is one more than two times the length of its base. what is
    10·1 answer
  • A square has an area of 364.81m2.<br>Work out the perimeter of the square.​
    5·1 answer
  • Choose the correct conic section to fit the equation. xy = -16
    6·2 answers
  • What is the value of x? <br>_____ Units​
    8·1 answer
  • The sum of two positive integers, a and b, is at least 30. the difference of the two integers is at least 10. if b is the greate
    14·2 answers
  • Solve<br>4(2x - 3) = 6x + 2​
    5·1 answer
  • Ivy likes to buy trail mix in bulk at her local grocery store. If she paid $5.16 for 1.2 pounds of trail mix, what is the price
    11·1 answer
  • 4. Evaluate: (-7 - 41)(8 - 6) A) -32 + 10i C) -80 - 10i B) -80 - 10i D) -32 + 741
    8·1 answer
  • Someone please help
    8·1 answer
  • -4=7t/5 +4t/5 solve for t
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!