The system of equations to determine the number of adult tickets, a, and the number of student tickets, s, the drama club sold is a + s = 1500; 12a + 6s = 16,200. 300 students attended the play.
<h3>Simultaneous equation</h3>
- number of adult tickets = a
- number of student tickets = s
The system of equation:
a + s = 1500
a + s = 150012a + 6s = 16,200
From equation (1)
a = 1500 - s
Substitute into (2)
12a + 6s = 16,200
12(1500 - s) + 6s = 16,200
18,000 - 12s + 6s = 16200
- 12s + 6s = 16200 - 18,000
-6s = -1800
s = -1800 / -6
s = 300
Substitute s = 300 into (1)
a + s = 1500
a + 300 = 1500
a = 1500 - 300
a = 1200
Therefore, there are 300 students and 1200 adults at the play respectively.
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About 27 AB is the answer
It is irrational because it does not repeat a pattern nor does it stop.
<h2>
Answer: </h2>
The dependent variable is distance, the equation is y = 35x, and the dragonfly will travel 840 miles.
<h2>
Step-by-step explanation:</h2>
By the graph it can be seen that the distance a dragonfly can travel is dependent on the certain number of hours.
∴ Dependent variable : Distance (on y axis)
The equation of straight line is given by :-
, here m is the slope of the line and c is the initial value of y at x=0.
From the given graph, the slope of the given line passing from (0,0) and (2,70) will be :-
Also, the value of y = 0 at x=0.
∴ The equation of the given line :
At x=24,
∴ The dragonfly will travel 840 miles in 24 hours.