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

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .

i think it will be zero as slope has a formula of difference between initial and final distance divided by itz time interval