The answer is C. 2.
This is because the part that is inside of the parentheses is equal to 4. Multiplying the fractions in the numerator is equal to 
.
, using the exponential rule 3/2-1/2=2/2 or 1. 4^1=4.
Now, we reduced the fraction, so all that is left is 
. This is equal to 2.
So your answer is 2.
I hope this helps :)
The answer is 36/49.
You take the second fraction and flip it (it will be 12/14) and you multiply straight across. You get 72/98. You simplify it by finding it's greatest common factor (in this case it is 2) so you divide it the numerator and the denominator by 2. You get 36/49.
Answer:
116
Step-by-step explanation:
as you can tell it is an obtuse angle.
Let t = number of hours
The first candle starts at 8 inches.
It burns at 7/10 inch per hour, so in t hours it burns (7/10)t inches.
After t hours, its length is 8 - (7/10)t
The second candle starts at 6 inches.
It burns at 1/5 inch per hour, so in t hours it burns (1/5)t inches.
After t hours, its length is 6 - (1/5)t
You want the lengths to be equal, so the equation is
8 - (7/10)t = 6 - (1/5)t
Let unknown integer be n.
So then your sentence would translate to 3n² + n = 2.
If you need to solve for n then we can move 2 to left side by subtract both sides by 2:
3n² + n - 2 = 0
Now you can factor:
3n² + 3n -2n - 2 = 0
3n( n + 1 ) - 2( n + 1 ) = 0
( 3n - 2 )( n + 1 ) = 0
3n - 2 = 0 OR n + 1 = 0
3n = 2 OR n = -1
n = 2/3 OR n = -1
Final answer: n = 2/3 OR n = -1
