Answer:
1. no solution
2. one solution
3. no solution
4. no solution
Step-by-step explanation:
Answer:the price of one senior citizen's ticket is $4
the price of one student ticket is $10
Step-by-step explanation:
Let x represent the price of one senior citizen's ticket
Let y represent the price of one student ticket.
On the first day of ticket sales the school sold 6 senior citizen tickets and 10 student tickets for a total of $124. This means that
6x + 10y = 124 - - - - - - - - - - 1
The school took in 98 on the second day by selling 12 senior citizen tickets and 5 student tickets. This means that
12x + 5y = 98 - - - - - - - - - - - 2
Multiplying equation 1 by 2 and equation 2 by 1, it becomes
12x + 20y = 248
12x + 5y = 98
Subtracting, it becomes
15y = 150
y = 150/15 = 10
Substituting y = 10 into equation 1, it becomes
6x + 10 × 10= 124
6x + 100 = 124
6x = 124 - 100 = 24
x = 24/6 = 4
Answer:
<h3>Volume of cylinder = 6,330.24 cm</h3>
Solution:
Volume of cylinder = area of base × altitude
Volume = πr² × altitude
V= 3.14 × 12² × 14
V = 3.14 × 144 × 14
V = 6,330.24 cm
Answer:B
Step-by-step explanation:
It's an equilateral triangle. The angles have measure 60°.
Therefore we have the equations:
6x + 6 = 60 <em>subtract 6 from both sides</em>
6x = 54 <em>divide both sides by 6</em>
x = 9
5y + 10 = 60 <em>subtract 10 from both sides</em>
5y = 50 <em>divide both sides by 5</em>
y = 10
