8. David is having a Super Bowl party and he needs bottled water. Which of the following purchases will give
him the lowest unit cost?
a) $1.80 for a 6 pack
b) $6.00 for a 24 pack
c) $4.80 for a 12 pack
d) $10.00 for a 36 pack

D) 10.00 for a 36 pack

Step-by-step explanation:

(I'm going up by the smallest pack to the highest because I noticed they are all multiples of 6)

1.80 for a 6 pack (double it to become a 12 pack)

3.60 for a 12 pack but the other 12 pack is more expensive making a 6 pack cheaper. (add another 6 pack)

5.40 for a 18 pack (add another 6pack)

7.20 for a 24 pack so this means the 6pack is more expensive and a 24pack is cheaper (in gonna keep adding till we get to 36 pack)

9 for a 30 pack

10.80 for a 36 pack

step-by-step explanation:

∆abc has the points a(1, 7), b(-2, 2), and c(4, 2) as its vertices. formed with the point d(1, 2) as its third vertex, then ∆abd is triangle.

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.