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!
CAD= BAD
AD=AD( the same side of two angles).
Answer:
4320, I looked up 18% of 24000
<span>x(1^2)-2(1)+4(1^3)=6
x - 2 + 4 = 6
x + 2 = 6
x = 4 </span>
Answer:
5 pounds of coffee
Step-by-step explanation:
Let the number of pounds of coffee bought be 'x'.
Given:
Value on gift card = $90
Value of coffee per pound = $8.09
Money left after buying coffee = $49.55
Now, using unitary method,
1 pound cost = $8.09
∴ 'x' pounds cost = 
Now, Money left = Total money on gift card - Cost of coffee.
Therefore, Lashonda bought 5 pounds of coffee.
