1.
Weight of potatoes........Cost
12 lb ................................. $17
18 lb ................................. X
by cross multiplication we get
12 X = 17 × 18
12 X = 306
X = 306/12
X = $ 25.5
David > Chris
Chris < Annie
Annie = Sarah
Sarah < David
David is out since he is taller that Chris.
Anne is out since she is taller than Chris.
Sarah is out since Anne and Sarah are the same height.
Chris is the shortest, because he is shorter than Annie and Sarah, while Sarah and Annie are shorter than David, but Chris is shorter than Annie so Sarah applies too, Chris is shorter than Anne and Sarah.
Shortest ---> Tallest:
Chris, Anne, Sarah, David
Given:
There are given the statement, shape of the cross-section that is parallel to the base of the cone.
Explanation:
If the base of the cone that parallels to tye cross-section.
So,
The shape of the cross-section is
EQ. 1: x + y = 8
EQ. 2: 4x-y = 7
Rewrite EQ. 1 as EQ. 3: x = 8-y
Replace x in EQ.2 with EQ. 3:
4(8-y) - y = 7
Use the distributive property:
32 - 4y - y = 7
Combine like terms:
32 - 5y = 7
Subtract 32 from each side:
-5y = -25
Divide both sides by -5
y = -25 / -5
y = 5
Now replace y with 5 in EQ. 3 to solve for X:
x = 8-5
x = 3
The point of intersection is X = 3, Y = 5, which is written as (3,5)