Answer:
-0.9090... can be written as 
.
Explanation:
Any <em>repeating </em>decimal can be written as a fraction by dividing the section of the pattern to be repeated <em>by </em>9's.
We can start by listing out
0.909090... = 9/10 + 0/100 + 9/1000 + 0/10000 + 9/100000 + 0/1000000 + ...
Now. we let this series be equal to x, that is
= 9/10 + 0/100 + 9/1000 + 0/10000 + 9/100000 + 0/1000000 + ...
Now, we'll multiply both sides by 100
.
= 90 + 0 + 9/10 + 0/100 + 9/1000 + 0/10000 + ...
Then, subtract the 1st equation from the second like so:
= 90 + 0 + 9/10 + 0/100 + 9/1000 + 0/10000 + 9/100000 + 0/1000000 + ...
= - 9/10 - 0/100 - 9/1000 - 0/10000 - 9/100000 - 0/1000000 - ...
And we end up with this:
Finally, we divide both sides by 99 in order to isolate x and get the fraction we're looking for.
Which can be reduced and simplified to
Hope this helps!
Answer:
y = 4x - 1
Step-by-step explanation:
y = mx + b, m is the slope, b is the y intercept or -1
Answer: 25 percent
Step-by-step explanation:
Answer:
The other number is 22.
Step-by-step explanation:
66 is the lowest common multiple of 6 and a number between 15 and 25.
The numbers between 15 and 25 include 16, 17, 18, 19, 20, 21, 22, 23 and 24.
Of all these numbers between 15 and 25, only 22 can divide 66 without a remainder.
And conveniently, the lowest common multiple of 6 and 22 is 66.
Hence, the other number is evidently 22.
Hope this Helps!!!
