Answer:
-150
Step-by-step explanation:
x^2 - 7x^2 - 18x +42
3^2 - 7(3)^2 - 18(3) + 42
9 - 63 - 54 + 42
-54 -54 + 42
-108 + 42
-150
5x + 2x + 3x = 180
10x = 180
x = 18
Angles are 36, 54, 90
Given : 2D + 1L = 100,
And D + L = 70
This is a simultaneous equation can be solved as follows
2D + L = 100
- D - L = -70
————————————-
D - 0 = 30
i.e D (number of dudes) = 30
Therefore, since we already know the fraternity sold 70 tickets in total,
70 -30 = 40 (the number of ladies attended)
Answer:
The sides of the original rectangular prism have been increased by a scale factor of 4
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube
Let
z----> the scale factor
x---> volume of the increased rectangular prism
y---> volume of the original rectangular prism

substitute

-----> the scale factor
therefore
The sides of the original rectangular prism have been increased by a scale factor of 4
10h+120p=950.50
h+p=12
p=?
h+p=12
-p both sides
h=12-p
plug in to 10h+120p=950.50
10 (12-p)+120p=950.50
distribute
120-10p+120p=950.50
simplify
120+110p=950.50
-120 both sides
110p=830.50
÷110 both sides
p=7.55