-2 = 5x +3
5x = 3 + 2
5x = 5
x = 1
Let's say the cost of student tickets is x and the cost of adult tickets is y. Then:
(1) 12y + 6x = 138
(2) 5y + 11x = 100
If we rearrange equation (1) we get:
12y = 138 - 6x
Now divide each side by 12:
y = 11.5 - 0.5x
We can now substitute this into equation (2):
5(11.5 - 0.5x) + 11x = 100
57.5 - 2.5x + 11x = 100
8.5x = 42.5
x = 5, therefor the cost of a student ticket is $5.00
Answer:
The score is 
Step-by-step explanation:
From the question we are told that
The population mean is 
The standard deviation is 
From the question we are told that the score follow a normal distribution
i.e 
The proportion of score in the top 10% is mathematically

Where x is the minimum score required to be in the top 10%
Now the 
So

So

So the critical value of 0.10 from the normal distribution table is 
So


Answer:
sin(-a)= -15 /17
Step-by-step explanation:
Alright, lets remember that sin(x) is odd function, which means that
wherever you watch an expression like this: sin(-a), you can use the odd functions property, and turn it like the following
sin(-a)= - sin(a)
Now, other thing to remember: 
So, we can obtain any value for sin(x) function starting from the opposite function, cos(x), using the following:

So, if cos(a)= - 8 / 17, using the above equation we obtain the value for sin(a)

Using the odd function property, we get the following result
sin(-a)= - sin(a) = -15/17