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
Darya [45]
3 years ago
11

Prove algebraically that 0.5 recurring = 5/9

Mathematics
1 answer:
ad-work [718]3 years ago
3 0

Answer and Step-by-step explanation:

We want to prove that 0.5555... = 5/9.

First, let's set 0.555... equal to x:

x = 0.555...

Now multiply this by 10:

10x = 5.555...

Now subtract the original from this new one:

   10x = 5.555...

-       x = 0.555...

______________

     9x = 5

Note that we could cancel all the recurring terms because they were the same for both 5.555... and 0.555... since the 5's go up to infinity.

We now have 9x = 5, so divide both sides by 9:

x = 5/9, as desired

You might be interested in
Pls help I’m being timed
rjkz [21]

Answer:

B. M-prime (4,-3)

Step-by-step explanation:

When rotated clockwise, point (h,k) is changed to point (k,-h).

5 0
3 years ago
Read 2 more answers
4.2 using similar shapes​
aksik [14]

Answer:

Nininininiji

Step-by-step explanation:

6 0
3 years ago
Which representation has a constant of variation of -2.5
Neporo4naja [7]

Answer:

See explanation

Step-by-step explanation:

The constant of variation is found using the slope formula:

\frac{y_2-y_1}{x_2-x_1}

The given relation is

X : -2 , -3, -4, -5  

Y : -5, -7.5,-10,-12.5

We can use any two ordered pair to find the constant of variation.

Using (-2,-5) and (-3,-7.5), we have

m=\frac{-7.5--5}{-3--2} =\frac{-2.5}{-1} =2.5

The constant of variation is 2.5

We need to repeat this for all the options to identify the one with -2.5 as slope.

unfortunately, you did not provide the remaining options.

6 0
3 years ago
Read 2 more answers
Dana wants to make cookies. The recipe calls for 2/3 cups of flour for two dozen. She only wants to make one dozen,so how much f
Veseljchak [2.6K]

Answer:

1/3 c flour

Step-by-step explanation:

divide 2/3 in half because you're going from 2 dozen to 1 dozen

2/3 ÷ 2 equals 2/3 x 1/2 which equals 1/3

3 0
3 years ago
How to find the equation?
bixtya [17]

Answer:

y = 2x + 60

Step-by-step explanation:

Use the equation for a line: y = mx + b

Where

x and y are points on the graph

and m is the slope, and can be found by finding \frac{rise}{run}


so the slope is 10/5 or 2, since the graph goes up by 10 and over by 5.

so plug into the equation, and you get y = 2x + b

Next, pick a point on the graph, and plug in the x and y coordinates,

for example:

(x,y) = (5,70)

so, 70 = 2(5) + b

then solve for b

60 = b

Then rewrite the equation

y = 2x + 60

4 0
3 years ago
Other questions:
  • Which classification describes the system of linear equations?
    11·1 answer
  • The distance of planet Jupiter from the Sun is approximately 7.8 ⋅ 10^8 kilometers, and the distance of planet Saturn from the S
    11·1 answer
  • A tin man has a head that is a cylinder with a cone on top. The height of the cylinder is 12 inches and the height of the cone i
    12·1 answer
  • | - 6 - ( - 9) | Would my answer be in( | 3 | ) or as 3 i think that || are bracket s is that what there called?
    6·1 answer
  • ASAP, this question is 25 points. Please help me! I´ĺl vote you. Please help me!
    14·1 answer
  • A fair die is tossed. What are the odds in favor of the cube showing a number less than 3?
    13·1 answer
  • Solve this system of linear equation for x.
    10·1 answer
  • Freddie is reading a book that has
    10·1 answer
  • 2. Point P is shown on the number line below. The distance between point Q and point P is 6 & 1/2 units. Which number could
    15·1 answer
  • Please help I can't understand and my teacher is not explaining properly.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!