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!
$36 x 1.07 = $38.52
The cost will be $38.52
Tax on this is $2.52
Answer:
she needs to sell at least 44 cookies to make a $0.10 profit
Step-by-step explanation:
to find the answer all you have to do is divide 15.30 by 0.35
Answer:
A) -9/2
B) 9/4
C) -9/2, same as A)
Step-by-step explanation:
We are given that 
. We use the properties of integrals to write the new integrals in terms of I.
A) 
. We have used that ∫cf dx=c∫f dx.
B) 
. Here we used that reversing the limits of integration changes the sign of the integral.
C) It's the same integral in A)
Answer:
13.28
Step-by-step explanation:
5/3 = 1.66
1.66 x 8 = 13.28
(Please tell me if this is wrong)
