Answer:
student ticket = $11
(adult ticket = $15)
Step-by-step explanation:
Let a = price of adult ticket
Let s = price of student ticket
Given:
- On the first night she sold 12 adult tickets and 11 student tickets for $301 dollars
⇒ 12a + 11s = 301
Given:
- On the second night she made $134 selling 6 adult tickets and 4 student tickets
⇒ 6a + 4s = 134
Multiply 6a + 4s + 134 by 2 then subtract from 12a + 11s = 301 to eliminate a:
⇒ (6a + 4s = 134) × 2: 12a + 8s = 268
12a + 11s = 301
- (12a + 8s = 268)
--------------------------
3s = 33
⇒ s = 33 ÷ 3 = 11
Substitute found value of s into one of the equations and solve for a:
⇒ 12a + 11(11) = 301
⇒ 12a + 121 = 301
⇒ 12a = 180
⇒ a = 15
Therefore, the price of an adult ticket is $15 and the price of a student ticket is $11
The slope of y = 5x - 4 is 5.
Answer:
The length of rectangular panel is 6.4 cm.
Step-by-step explanation:
We are given the following information in the question:
Area of rectangular solar panel = 128 square cm
Width of panel = 20 cm
We have to find the length of the panel
Formula:
Hence, the length of rectangular panel is 6.4 cm.
This is an example of direct variation as greater would be length and breadth, the greater would be the area.
