Flix Theatres allows movie goers to buy large commemorative popcorn buckets for $25 and then pay $1.50 per refill for the entire year. If you don’t have the bucket, a large popcorn costs $6.50. Find the number of popcorn orders that result in the same price for a bucket and refills AND popcorn orders without a bucket.

Malia is observing the velocity of a cyclist at different times. after two hours, the velocity of the cyclist is 15 km/h. after five hours, the velocity of the cyclist is 12 km/h. part a: write an equation in two variables in the standard form that can be used to describe the velocity of the cyclist at different times. show your work and define the variables used. (5 points) part b: how can you graph the equations obtained in part a for the first 12 hours? (5 points) if you can try and make this as little confusing as you can

What is the slope of the line that passes through the points (–9, 2) and (0, 4)? the slope of the line is

What is the cube root of -1,000p^12q3? -10p^4 -10p^4q 10p^4 10p^4q