Answer:
Step-by-step explanation:
150 - 120 = $ 30
For $30 , as per Plan A, he can watch 30÷5= 6movies
As per plan B, If Neil rents more than 6 movies, ie 7, 8 , .... then it would be a better buy
Ans: c and d
Answer:
Step-by-step explanation:
The discriminant is used to determine the number and nature of the zeros of a quadratic. If the discriminant is positive and a perfect square, there are 2 rational zeros; if the discriminant is positive and not a perfect square, there are 2 rational complex zeros; if the discriminant is 0, there is 1 rational root; if the discriminant is negative, there are no real roots.
The roots/solutions/zeros of a quadratic are where the graph goes through the x axis. Those are the real zeros, even if they don't fall exactly on a number like 1 or 2 or 3; they can fall on 1.32, 4.35, etc. They are still real. If the graph doesn't go through the x-axis at all, the zeros are imaginary because the discriminant was negative and you can't take the square root of a negative number. As you can see on our graph, the parabola never goes through the x-axis. Therefore, the zeros are imaginary because the discriminant was negative. Choice C. Get familiar with your discriminants and the nature of quadratic solutions. Your life will be much easier!
Answer:
113
Step-by-step explanation:
Let the number of adult tickets sold =a
Let the number of student tickets sold =s
A total of 259 tickets were sold, therefore:
a+s=259
Adult tickets were sold for $24 each and student tickets were sold for $16 each.
Total Revenue = $5,312
Therefore:
24a+16s=5,312
We solve the two derived equations simultaneously.
From the first equation
a=259-s
Substitute a=259-s into 24a+16s=5,312
24(259-s)+16s=5,312
6216-24s+16s=5,312
-8s=5,312-6216
-8s=-904
Divide both sides by -8
s=113
Therefore, 113 student tickets were sold.
The simple formula for velocity is v=d/t. Velocity equals distance divided by time. 360 miles divided by 180 minutes. 360/180=2. The car travels at 2 miles per MINUTE.
Now, to change to miles per HOUR. There are 60 minutes in an hour, so 2*60=120 miles per hour.
Answer: 120 mph
width = 83 cm
Perimeter = 2(width) + 2(length)
So if l = 99 cm, and p = 364, then
364 = 2w + 2(99)
364 = 2w + 198
166 = 2w
w = 83 cm
