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!
It decreased $7 in the last 2 days
Answer:
{-1/8, 1/8}
Step-by-step explanation:
Solve |a|-3/4=-5/8 for |a|: Add 3/4 to both sides of this equation, obtaining:
|a| - 6/8 + 6/8 = -5/8 + 6/8, or |a| = 1/8. This absolute value function has two components:
a = 1/8 and a = -1/8.
This football field has 36 squares. As each square's area is 1 m^2. So, total area is 36 m^2.
the area = 8×1 = 8 m^2( this portion is not shaded )
i.e, the area of shaded part will be (36-8) = 28 m^2.
