Wendy is planning a wedding reception for 440 people and has a budget of $2,500. a tray of appetizers costs $22 and feeds 10 people, and a pan of pasta costs $55 and feeds 18 people. if she purchases a total combination of 70 trays and pans of food, which system of equations would best represent the situation where "p" is the number of pans of pasta and "s" is the number of trays of appetizers?
a. 17p + 10s = 70 and 55p + 22s < 2,500
b. 17p + 10s = 70 and 22p + 55s < 2,500
c. 10p + 17s = 70 and 22p + 55s > 2,500
d. p + s = 70 and 55p + 22s < 2,500

Which fraction below is equivalent to 10/12?

If the ratio of sum of the first m and n terms of an ap is m2 : n2 , show that the ratio of its mth and nth terms is (2m − 1) : (2n − 1).

The position of a moving particle is given by the position function: f(t)=-9t-t^2-0.2t^3+0.1t^4 0 a. at what time does the particle reverse direction? b. when is the displacement positive? (round one decimal place and answer in interval notation) c. when is the displacement negative? (round one decimal place and answer in interval notation) d. when is the particle’s acceleration positive? (round one decimal place and answer in interval notation) e. when is the particle’s acceleration negative? (round one decimal place and answer in interval notation)