Answer:
Problem 1:
x=12, x=3, x=6
Problem 2:
18*3=54
54/18=3
Problem 3:
Part A: 36/4.5=? 4.5*x=36
Part B: 8
Step-by-step explanation:
Question:
Which coordinate grid shows Point A at (−0.25, 1.75)?
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a = 4, b = -21, c = -18
to keep from getting "mixed up", evaluate the discriminant first ...
b<sup>2</sup> - 4ac = (-21)<sup>2</sup> - 4(4)(-18) = 729
sqrt(729) = 27
x = (21 +/- 27)/8
x = -3/4, x = 6
since the discriminant is a perfect square, the original quadratic will factor ...
4x<sup>2</sup> - 21x - 18 = 0
(4x + 3)(x - 6) = 0
x = -3/4, x = 6
Answer:
The sharing cone holds about 9 times more popcorn than the skinny cone.
Step-by-step explanation:
Cone volume:

r is the radius and h is the inches.
Skinny-size cone:
Radius is r, height h. So

Sharing size:
Radius is now 3r. So

How many times more popcorn?

The sharing cone holds about 9 times more popcorn than the skinny cone.