The answer should be -192. I could explain in the comments if you would like. :)
Answer:
(3m-4/5)2
Final result :
(15m - 4)2
——————————
52
Step by step solution :
Step 1 :
4
Simplify —
5
Equation at the end of step 1 :
4
(3m - —)2
5
Step 2 :
Rewriting the whole as an Equivalent Fraction :
2.1 Subtracting a fraction from a whole
Rewrite the whole as a fraction using 5 as the denominator :
3m 3m • 5
3m = —— = ——————
1 5
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
2.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
3m • 5 - (4) 15m - 4
———————————— = ———————
5 5
Equation at the end of step 2 :
(15m - 4)
(—————————)2
5
Step 3 :
Final result :
(15m - 4)2
———
52
Step-by-step explanation:
There are 4 per row.
12 divided by 3 = 4.
Answer:
After 2.5 minutes the pool will have 27 gallons of water.
Step-by-step explanation:
The pool has already 12 gallons of water and Eric wants to fill it to at least 27 gallons.
The water is flowing at a rate of 6 gallons per minute.
Let, after t minutes the pool will have at least 27 gallons of water.
Therefore, we can write the equation as
27 = 12 + 6t
⇒ 6t = 15
⇒ t = 2.5 minutes.
Therefore, after 2.5 minutes the pool will have 27 gallons of water. (Answer)
If 
, then 
and 
because 
lies in the fourth quadrant.
By DeMoivre's theorem,
so the answer is B.
