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:
Distributive
Step-by-step explanation:
You distribute the 5 into 3x+18, multiplying it by each part of the equation (each part is separated by one of these signs: +, -, x, or /) to get 15x (from 5 x 3x) plus 60 (from 5 x 18).
The answer would be -1/2(X+3)
Answer:
The Definition of Speculative Investments. Speculative investments are long-term investments rooted in a thesis that’s not currently provable —but could become provable in the future.
Step-by-step explanation:
for example nderstanding Speculative Risk. A speculative investment is one where the fundamentals do not show immediate strength or a sustainable business model.
Answer: 7 3/4 - 2/25 = 767/100 = 7 67/100 = 7.67
Step-by-step explanation:
Conversion a mixed number 7 3/4
to a improper fraction: 7 3/4 = 7 3/4 = 7 · 4 + 3/4= 28 + 3/4 = 31/4
To find a new numerator:
a) Multiply the whole number 7 by the denominator 4. Whole number 7 equally 7 * 4/4 = 28/4
b) Add the answer from previous step 28 to the numerator 3. New numerator is 28 + 3 = 31
c) Write a previous answer (new numerator 31) over the denominator 4.
Seven and three quarters is thirty-one quarters
Subtract: 31/4 - 2/25= 31 · 25/4 · 25 - 2 · 4/25 · 4 = 775/100 - 8/100 = 775 - 8/
100 = 767/100
