Large reusable bottles cost $4 more than small ones. eight large bottles cost $24 less than 12 small ones. how much does one small bottle cost?

First solution can be:

L = S+4
8L = 12S-24 substitute for L:
8(S+4) = 12S-24

8S+32 = 12S-24 add 24 on both sides and subtract 8S on both sides, and you get:
56 = 4S rewrite to get the unknown on the left:
4S = 56
S = 14 this is the cost of a small bottle.

Other solution can be like this:

Let cost of each small bottle be S

The cost of each large bottle = S + 4

We then get: 8(S + 4) = 12S - 24

8S - 12S = - 24 - 32

 - 4S = - 56

S, or cost of each small bottle = -56/-4 = $14

10a^3+277a^2-132a-792

step-by-step explanation:

(2a+11)(5a-12)(foil)

=10a^2-24a+55a-132 =10a^2+31a-132

(10a^2+31a-132)(a+6)

=10a^3+60a^2+31a^2+186a^2-132a-792 =10a^3+277a^2-132a-792

i hope this is what you are looking for : )

the fist one is not equalvalent but i think th second one isand the third isnt definetly or the last one is i think. hope this !

step-by-step explanation: