Answer:
Step-by-step explanation:
Let
y -----> the profit earned by the hot dog stand daily
x ----> the number of hot dogs sold
we know that
The linear equation that represent this problem is equal to
This is the equation of the line into slope intercept form
where
----> is the slope
---> is the y-intercept (cost of the day's supply)
The height at time t is
h(t) = 144 - 16t²
When t = 0, then h = 144.
Therefore the height from the ground is 144 when the object is dropped.
When the object reaches the ground, h = 0.
Therefore
144 - 16t² = 0
t² = 144/16 = 9
t = 3 s
Answer:
The object reaches the ground in 3 seconds.
Answer: -8.5
Step-by-step explanation:
I got it right on edg
Answer: the number of adult tickets sold is 400
the number of student tickets sold is 200
Step-by-step explanation:
Let x represent the number of adult tickets sold at the play.
Let y represent the number of student tickets sold at the play.
Adult tickets to a play cost $1.75 each and student tickets cost $1.25 each. If the income from the play was $1,700, it means that
1.75x + 1.25y = 1700 - - - - - - - - - -1
Suppose there are twice as many student tickets sold as adult tickets. This means that
y = 2x
Substituting y = 2x into equation 1, it becomes
1.75x + 1.25 × 2x = 1700= 1700
1.75y + 2.5y = 1700
4.25y = 1700
y = 1700/4.25 = 400
x = y/2 = 400/2 = 200
