Answer:
12
Step-by-step explanation:
Given:
On every 3 DVDs she rents, 1 DVD is received for free
Rent of each DVD = $3
Total amount paid = $114
Now,
The total number of DVDs she took on rent = 
or
The total number of DVDs she took on rent = 
or
The total number of DVDs she took on rent = 38
also,
For every 3 DVDs she gets 1 Free DVD
thus,
For every 1 DVD she gets 
free DVD
therefore,
For 38 DVD she gets 
free DVD
or
she gets 12.67 DVDs free
Since,
the DVDs cannot be given in fraction
Hence she will get 12 free DVDs
S= 13/5 is the answer
I hope it’s help u !
Answer:
Ummm Lilly Are you the one that I was jus talkin too
Step-by-step explanation:
A good place to start is to set 
to y. That would mean we are looking for 
to be an integer. Clearly, 
, because if y were greater the part under the radical would be a negative, making the radical an imaginary number, not an integer. Also note that since 
is a radical, it only outputs values from ![[0,\infty]](https://tex.z-dn.net/?f=%20%5B0%2C%5Cinfty%5D%20)
, which means y is on the closed interval: ![[0,120]](https://tex.z-dn.net/?f=%20%5B0%2C120%5D%20)
.
With that, we don't really have to consider y anymore, since we know the interval that is on.
Now, we don't even have to find the x values. Note that only 11 perfect squares lie on the interval , which means there are at most 11 numbers that x can be which make the radical an integer. All of the perfect squares are easily constructed. We can say that if k is an arbitrary integer between 0 and 11 then:
Which is strictly positive so we know for sure that all 11 numbers on the closed interval will yield a valid x that makes the radical an integer.
