Answer:
d = 90°
e = 147°
f = 33°
Step-by-step explanation:
Five hundred twenty-five and forty-eight thousandths
Answer:
-2x+3y =1.......(1)
y=3x-9........(2)
Now,
putting the value of y in equation (1),
-2x+3(3x-9)=1
or,-2x+9x-27=1
or,7x-27=1
or,7x=28
x= 4
Now putting the value of X in equation (2),
y=3×4-9
= 12-9
=3
(x,y)=(4,3)
Answer: the length is 87 feet
The width is 40 feet
Step-by-step explanation:
Let L represent the length of the playing field.
Let W represent the width of the playing field.
The playing field is rectangular. The formula for determining the perimeter of a rectangle is expressed as
Perimeter = 2(L + W)
The perimeter of a playing field for a certain sport is 254 ft. This means that
254 = 2(L + W)
L + W = 254/2
L + W = 127 - - - - - - - - - - - -1
The length is 47 ft longer than the width. This means that
L = W + 47
Substituting L = W + 47 into equation 1, it becomes
W + 47 + W = 127
2W + 47 = 127
2W = 127 - 47 = 80
W = 80/2 = 40
L = W + 47 = 40 + 47
L = 87
Answer: A) When all three ticket prices generate the same revenue.
Step-by-step explanation:
Reserved tickets cost $20 each.
Field-level tickets cost $50 each.
Seat tickets cost $100 each.
Then if x represents the number of reserved tickets sold, the total revenue for the reserved tickets will be:
R(x) = x*$20
If w represents the number of field-level tickets sold, the total revenue for field-level tickets will be:
F(w) = w*$50
If y represents the number of seat tickets sold, then the total revenue for the seat tickets will be:
S(y) = y*$100
Those equations will intersect when:
R(x) = F(w) = S(y)
This will mean that they will intersect when all three tickets have the same revenue, then the correct option is:
A) When all three ticket prices generate the same revenue.
