Answer:
4ab(3a² + 2ab − 5b²)
Step-by-step explanation:
simply factorize
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.
Answer:
C - (C/100x20)
Step-by-step explanation:
Cost minus the tax
the tax is 20 percent therefore cost divided by 100 times 20
Since it takes her 2 1/2 miles to get to the aquarium from her hotel, you need to subtract the various distances from this value in order to find how long it took Clara to walk the rest of the way to the aquarium.
2 1/2 - (1/4+1 3/4)= 2 1/2 - 2= 1/2
Clara must walk 1/2 a mile to get the rest of the way to the aquarium.