Answer:
The number of tickets for sale at $26 should be 3300
The number of tickets for sale at $40 should be 1700
Step-by-step explanation:
Use 2 equations to represent the modifiers within the problem:
Now you want to find the point at which the variables are changed to make both equations correct, this can be done by graphing and finding the intersection of both lines.
Since one equation has a negative y and the other has a positive y, I'm going to use those since they cancel each other out. Before that, the two y's need to be equal to each other.
x+2y=6
x-y=3
Multiply the bottom equation by two so then you have:
x+2y=6
2x-2y=6
The y's now cancel out:
x=6
2x=6
Add them together
3x=12
Divide
x=4.
To find y, plug x into either equation (*don't have to do both, but I will)
(4)+2y=6
(4)-y=3
Subtract four
2y=2
-y=-1
Divide each
2y/2 = 2/2
y=1
-y/-1 = -1/-1
y=1
The answer is:
x=4
y=1
I hope that helps!
Answer:
16 rides
Step-by-step explanation:
Option 1 . Admission fee = $10
Each ride = $0.50
Option 2 . Admission fee = $6
Each ride = $0.75
Let no. of rides be x
So, cost of ride according to option 1 = 0.50x
So, total cost after having x rides according to option 1 :
= 10+0.50x ---1
Cost of ride according to option 2 = 0.75x
So, total cost after having x rides according to option 2 :
= 6+0.75x --2
Now to find the beak even point i.e. having the same cost
Equate 1 and 2
Thus for 16 rides , the two options have the same cost .
Hence the break even point is 16 rides
Answer:
A number line going from negative 7 to negative 1. A closed circle is at negative 5. Everything to the right of the circle is shaded.
Step-by-step explanation:
-4.4 ≥ 1.6 x - 3.6
Solving for the value of x,
1.6 x ≤ -4.4 + 3.6
1.6 x ≤ - 0.8
Dividing 1.6 from both sides to know value of x
x ≤ - 0.5
Answer:
120 units²
Step-by-step explanation:
Perimeter = PS + SQ + PQ
50 = SQ + SQ + (SQ -1)
51 = 3SQ
17 = SQ
17 -1 = 16 = PQ
The midpoint of the base is one leg of the right triangle whose other leg is the height of this isosceles triangle. That height is ...
h = √(17² -(16/2)²) = √225 = 15
Then the area is ...
A = (1/2)bh = (1/2)(16)(15) = 120 . . . . . square units