At a local movie theatre, sodas cost $4.50 and bags of popcorn cost $1.50. Kirk buys three times as many bags of popcorn as sodas and pays a total of $36. (a) If s is the number of sodas bought and p is the number of bags of popcorn, write a system of equations that models this scenario and explain how your system models the problem.
(b) Determine how many of each item Kirk bought. Do this by using an algebraic solution to the system you wrote in (a).

Give me the equations of two lines that have the same slope but are not parallel.

Each of the following data sets has a mean of x = 10. (i) 8 9 10 11 12 (ii) 7 9 10 11 13 (iii) 7 8 10 12 13 (a) without doing any computations, order the data sets according to increasing value of standard deviations. (i), (iii), (ii) (ii), (i), (iii) (iii), (i), (ii) (iii), (ii), (i) (i), (ii), (iii) (ii), (iii), (i) (b) why do you expect the difference in standard deviations between data sets (i) and (ii) to be greater than the difference in standard deviations between data sets (ii) and (iii)? hint: consider how much the data in the respective sets differ from the mean. the data change between data sets (i) and (ii) increased the squared difference îł(x - x)2 by more than data sets (ii) and (iii). the data change between data sets (ii) and (iii) increased the squared difference îł(x - x)2 by more than data sets (i) and (ii). the data change between data sets (i) and (ii) decreased the squared difference îł(x - x)2 by more than data sets (ii) and (iii). none of the above

What is the location of point g, which partitions the directed line segment from d to f into a 5: 4 ratio? –1 0 2 3