5x - 4 = -3x + 12.
move -3x to the other side
sign changes to +3x
5x+3x-4= -3x+3x+12
5x+3x-4= 12
move -4 to the other side
sign changes to +4
5x+3x-4+4= 12+4
8x= 16
divide by 8 for both sides
8x/8= 16/8
x= 2
Answer: x= 2
We are given with the formula
p = 200k - 500
a) The constraint for this formula is obtained from the idea that the profit must be positive
200k - 500 > 0
k > 500/200
k > 2.5
b) To make 14000 profit
14000 = 200k - 500
k = 72.5 or 73 knives must be sold
Answer: 71 people per year
Step-by-step explanation:
8210 - 7500 = 710
710 ÷ 10 = 71.
Rate of growth in people per year for those 10 years = 71 people per year.
Answer: 360 / 24 = 15
Step-by-step explanation :
Since the sum of the exterior angles is always 360 degrees, if you divide 360 degrees by 24 degrees you get 15 which is the number of equal exterior angles and therefore 15 vertices and sides to the polygon.
