For this case, the first thing we are going to do is write the generic equation of motion for the vertical axis.
We have then:

Where,
- <em>g: acceleration of gravity
</em>
- <em>vo: initial speed
</em>
- <em>h0: initial height
</em>
For the first body:

For the second body:

By the time both bodies have the same height we have:


Rewriting we have:



Clearing time:

Answer:
it takes 18.31s for the two window washers to reach the same height
Answer:
-12x - 9xy
Step-by-step explanation:
-3x(4x - 5xy + 8y)
distribute
-12x + <u>15xy - 24xy</u>
combine like terms
-12x - 9xy
Answer:
320 Student Tickets
180 Adult Tickets
Step-by-step explanation:
You can solve this problem by using system of equations. First, we need to figure out our equations.
Equation 1: x as students and y as adults

We get this equation because the total tickets sold was 500. The x represents the students sold to students, and the y represents the tickets sold to adults.
Equation 2:

We get this equation based on the prices. Each student ticket costs $3, and each adult ticket costs $5. The total amount earned was $1850.
Now that we have out equations, we can use system of equations to find our students and adults.


Typically elimination is the easiest strategy because you are able to cross out variables.


Becomes:


We see that both equations now have 3x. We can cancel out 3x.


Now that we know y=180, we can plug it back into one of our equations to find x.


320 student tickets and 180 adult tickets were sold.