Amanda is placing an order for running shoes and leather boots for her footwear boutique. She needs a total of 42 pairs of shoes and twice as many pairs of running shoes as leather boots.
Set up the two equations that can be used to find the number of each type of shoe that Amanda needs to order.
• Let the equation that represents the total number of pairs of shoes be referred to as constraint 1,
• Let constraint 2 refer to the equation that describes the ratio of the number of running shoes to leather boots

Samantha swam upstream for some distance in one hour. she then swam downstream the same river for the same distance in only 12 minutes. if the river flows at 4 mph, how fast can samantha swim in still water?

What is the value of x in the diagram below?

The position of a moving particle is given by the position function: f(t)=-9t-t^2-0.2t^3+0.1t^4 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)