Let the number of children be c, and the number of adults be a.
c + a = 170 (total number of tickets)
Then the cost of each is: $5.90/child, $9.60/adult:
5.9c + 9.6a = 1269.40 (total sales)
Solving as 2 simultaneous equations, we first transform the first equation:
a = 170 - c
Substitute into the 2nd equation:
5.9c + 9.6(170 - c) = 1269.40
Solving gives c = 98, and a = 170 - 98 = 72. This means that 72 adult tickets were sold that day.
Answer: T= 3.54
Step-by-step explanation:
Step 1
Given that
The time period, T, s doirectly proportional to the square root of the length, d, of the pendulum, we have that
T ∝
Introducing the constant of proportionality, we have that
T= K.
Step 2
When d=6, T=5, K =?
T= K.
5 = k
5= k x 2.44949
k =5/2.44949
k =2.041
Therefore, when d = 3 , T= ?
T= K
T= 2.041 x
T= 3.53511≈ 3.54
Answer:
(x - 3) is a factor of the given function
Step-by-step explanation:
Given function:
If (x - 3) is a factor of the given function then
Substitute x = 3 into the function and solve:
Therefore, as then (x - 3) is a factor of the given function.