What kind of soup needs milk? I don't know any...
anyway, the amount of the liquid at the end was 2 5/8 and milk was 1 1/3 - we need to substract the amount of milk from the amount of total liquid afterwards:

bring the fraction to the same form:

substracting:

which is also the answer
So, if Dylan has x dollars and he bought 3 tickets with them, the tickets were priced at k dollars per ticket. If he bought 5 tickets with the x dollars and saved 12 total dollars, it would be the same as buying the tickets with x-12 dollars, so we have:

So, with this we have:

If we're looking for a number that satisfies these constraints, we can work with modular arithmetic. We have:

So, we can use the chinese remainder theorem here. So, we clearly have x=3k, which means:

So, since we have x=3k, we also have x=3(5j+4)=15j+12.
So, clearly j=0 won't work so we should have j=1. That means our money per ticket for the five tickets is:

And our money per three tickets is:

This is easily verifiable. Three tickets needs 27 dollars and 5 tickets needs 15 dollars, which is 12 less than 27 dollars. So we have our money per three dollar ticket at 6 more than money per five dollar.
x=3.95
Explanation
From the given information we find that the triangle is right angled at C. CB is the base,AC is the height and AB is the hypotenuse.
Given that D is the hypotenuse of the hypotenuse AB.
BC=6
BD=4.2
AD=x
the height and the base of the triangle is given.
Using pythagoras theorem, we can find the hypotenuse AB.

D is the midpoint of AB
therefore AD=AB/2=
=3.905
x=3.905 cm
Option B:
is the correct answer.
Explanation:
The given expression is 
Simplifying the expression, we have,

Factor the equations,
and
,we get,


Substituting these factored expressions in the above expression, we have,

Cancelling the common terms
and
, we get,

Thus, the expression equivalent to
is 
Hence, Option B is the correct answer.
Answer:
1/12 of the watermelon in each piece
Step-by-step explanation:
- We must divide 1/3 by 4.
- 1/3 divided by 4 is also 1/3 x 1/4.
The final answer is 1/12.
<em>I hope this helped!</em>