Answer:
x = 5, y = 8, z = -3
Step-by-step explanation:
Opposite sides of a parallelogram are congruent so to find x:
x + 7 = 3x - 3
-2x = -10
x = 5
To find y:
y + 2 = 2y - 6
-y = -8
y = 8
Therefore, z = x - y = 5 - 8 = -3.
Answer:
y = 14
Step-by-step explanation:
proportional relation: y = kx
only y = 14x has the situation where constant is 14 (k=14)
Answer: he will be able to play 32.6 games at the arcade
Step-by-step explanation:
1m = 100cm
1cm → 0.5m
1cm → 0.5 · 100cm = 50cm
The scale: 
length = 26.8cm · 50 = 1,340cm = 13.40m
width = 12.2cm · 50 = 610cm = 6.10m
The area of the court:
A = 13.40 · 6.10 = 81.74 m²
Answer:
$14
Step-by-step explanation:
The revenue from sales of fans is the product of the number of fans sold and the price at which they are sold:
R(p) = n·p = (1960-70p)p
R(p) = 70(28 -p)p
This equation describes a parabola that opens downward and has zeros at p=0 and p=28. The axis of symmetry is halfway between those zeros, at p=14. It goes through the vertex or point of maximum revenue.
The price for maximum revenue is p = 14 dollars.