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.
Answer:
$0.99 or $1
Step-by-step explanation:
8 pack of dish towels costs $7.92
A cost of dish towel will cost $7.92 divided by 8 packs
7.92/8=0.99
OR
$1
why?
Approximately.
Answer:
The rocket will take 4.5 seconds to reach its maximum height.
Step-by-step explanation:
The height of a missile t seconds after it has been fired is given by h=-4.9*t²+44.1*t
This function is a quadratic function of the form f (x) = a*x² + b*x + c. In this case a=-4.9, b=44.1 and c=0
To calculate how many seconds it will take for the rocket to reach its maximum height, I must calculate the maximum of the function. The maximum of a quadratic function is the vertex of the parabola. The x coordinate of the vertex will be simply: . The y coordinate of the vertex corresponds to the function evaluated at that point.
In this case the x coordinate of the vertex corresponds to the t coordinate. In other words, by calculating the x coordinate of the vertex, you are calculating the maximum time t it will take for the rocket to reach its maximum height. So:
t=4.5
<u><em>The rocket will take 4.5 seconds to reach its maximum height.</em></u>
For this case we have an equation of the form:
Where,
h0: initial height
v0: initial speed
a: acceleration
Substituting values we have:
Rewriting we have:
Note: see attached image
Answer: