Given:
4/5 of a pie left after their family picnic.
Each slice of pie was 1/15 of the total pie.
To find:
The number of remaining slices of pie.
Solution:
Let x be the number of remaining slices of pie.
Part of total pie in one slice = 
Remaining part of total pie in x slices = 
According to the question, 4/5 of a pie left after their family picnic.

Using cross multiplication, we get


Divide both sides by 5.

Therefore, the remaining number of slices of pie is 12.
Answer:
1125.4 Hz
Step-by-step explanation:
The resonant frequency is the frequency at with the inductive reactance is equal to the capacitive reactance. It is given by the relation ...

where L is in henries, and C is in farads.
__
For the given circuit values, the resonant frequency is ...

The resonant frequency of this circuit is about 1125.4 hertz.
The answer is C. The numerator 7x+14 can be factored as 7(x+2). The denominator 2x^2+2x-6 can be factored as (x+2)(2x-3). The greatest common divisor of 7(x+2) and (x+2)(2x-3) is obviously x+2, which is contained in both of the two expressions.