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:


Step-by-step explanation:
The sum of the interior angles of a triangle is 180 degrees.




Use the exterior angles theorem to find y.
The exterior angle y is the sum of the two remote interior angles:
The sum of angles on a straight line is 180 degrees.



Answer:
the value of these two numbers are 1/2 and 3/2
Step-by-step explanation:
Given that:
x+y < 2 ---- (1)
y - x > 1 ---- (2)
From equation (2), let y > 1 + x then substitute it into equation (1)
x + 1 + x < 2
2x + 1 < 2
2x < 2 - 1
2x < 1
x < 1/2
From equation (2), replace the value of x to be 1/2
y - 1/2 > 1
y > 1 + 1/2
y > 3/2
The terms of an arithmetic progression, can form consecutive terms of a geometric progression.
- The common ratio is:

- The general term of the GP is:

The nth term of an AP is:

So, the <em>2nd, 6th and 8th terms </em>of the AP are:



The <em>first, second and third terms </em>of the GP would be:



The common ratio (r) is calculated as:

This gives

The nth term of a GP is calculated using:

So, we have:

Read more about arithmetic and geometric progressions at:
brainly.com/question/3927222