Answer: $20
Step-by-step explanation:
Let 'x' be the cost of a ticket at Haynes
Let 'y' be the cost of a ticket at Valley
Since the total cost from both schools are the same, we can write it as:

Since the cost of tickets at Valley was $5 less than Haynes, we can write it as:

Now we have two equations, we can use to substitute into the other expression:

we substitute y in this equation with the other equation



Therefore the cost of the ticket at Haynes is $20 and the cost of the ticket at Valley is $15.
Answer:
John is currently 6 years old.
Step-by-step explanation:
2 years ago: x years
Current time: x+2
In 6 years: x+8
EQUATION:
3(x)=x+8= 3x=x+8
(subract x from both sides)
2x=8
x=4
Therefore, John is 6 years old in current time
Answer:
0.7x/0.8y = x/y * 0.7/0.8 = x/y * 0.875
So the fraction is reduced by 12.5%
Answer:
240 m³
Explanation:
The volume of a pyramid is equal to:

Where B is the area of the base and H is the height of the pyramid.
Then, the base of the pyramid is a triangle, so the area of a triangle is equal to:

Where b is the base of the triangle and h is the height of the triangle. So, replacing b by 16 m and h by 9 m, we get:

Finally, replacing B by 72 m² and H by 10 m, we get that the volume of the pyramid is equal to:

Therefore, the volume is 240 m³