The answer for this question is 4
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.
Learn more about simultaneous equation:
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A piecewise function is a function that behaves differently in different intervals of its domain.
The piecewise function is:
- f(x) = $10 if 0 < x < 6
- f(x) = $15 if 6 ≤ x ≤ 18
- f(x) = $20 if 18 < x
<em />
<em>Here the given information for the function is:</em>
- The museum charges $10 for kids of 5 and under
- The museum charges $15 for ages of 6 to 18
- The museum charges $20 for ages larger than 18.
Then if we define x as the age of the person, the function f(x) that tells the <u>cost of the ticket will be:</u>
- f(x) = $10 if 0 < x < 6
- f(x) = $15 if 6 ≤ x ≤ 18
- f(x) = $20 if 18 < x
So as you can see, depending on the value of x and in which interval it belongs, the function behaves differently.
If you want to learn more, you can read:
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Answer:
v, measuring liquid is volume