Answer: 0.6 in 10 % ; 0.4 in 15 %
Step-by-step explanation:
1. (x*10%) + (y*15%)/ x+y=12%
2. x+y = 1 x= 1-y
(0.1x + 0.15y/ x+y= 12/100) * 100
(10x + 15y/x+y = 12)*(x+y)
10x+15y= 12x + 12y
-2x=-3y
2x = 3y 2(1 - y)= 3y
2-2y=3y 2= 5y
y= 0.4
x= 0.6
Answer:
y = 4x - 8
Step-by-step explanation:
x = 1/4y + 2
-1/4y -1/4y
-1/4y + x = 2
-x -x
-1/4y= -x + 2
*-4 *-4
y = 4x - 8
You have $8.95 per person with 12 people
so you would need to multiply 8.95 and 12
8.95 · 12 = 107.40
the party costs $107.40
For this case we have the following relationship between the volumes:

Where,
V2: Volume of the triangular prism after applying the scale factor on each side
V1: Original volume of the triangular prism
k: scale factor
Substituting values we have:

Rewriting:
Answer:
the volume of the prism if each side is dilated by a factor of 1/3 will be
V = 1 cubic unit