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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The simplified ratio that correctly compares 27 feet to 36 feet is 3:4
Step-by-step explanation:
Step 1: Simplify the ratio by finding common factor
Step 2: Here, in this case the lowest common factor is 3. Divide both numerator and denominator by 3.
⇒ 27/36 = 9/12 (on dividing by 3)
⇒ 9/12 = 3/4 (again on dividing by 3)
Answer:
13.8%
Step-by-step explanation:
I have created a table that shows all of the possibilities that two die's can roll when summed up. If we count all of these possibilities we can see that there are a total of 36 outcomes. From all of these outcomes we can also see that only 4 outcomes sum up to be a total of 5. Therefore, we have to divide the number of times 5 is a possibility by the total number of outcomes to get the probability of actually getting a sum of 5.
5 / 36 = 0.138 ... multiply by 100 to get percentage
0.138 * 100 = 13.8%
Answer:
Slope: 1/3
Step-by-step explanation:
y = 1/3 x - 2
Answer:
It's F. none of the points
Step-by-step explanation:
