An amusement park line is moving about 4 feet every 15 minutes. at this rate, approximately how long will it take for a person at the back of the 50-foot line to reach the front of the line. explain your answer.

Acaterer knows he will need 60, 50, 80, 40 and 50 dinner napkins on five successive evenings. he can purchase new napkins initially at 25 cents each, after which he can have dirty napkins laundered by a fast one-day laundry service (i. e., dirty napkins given at the end of the day will be ready for use the following day) at 15 cents each, or by a slow two-day service at 8 cents each or both. the caterer wants to know how many napkins he should purchase initially and how many dirty napkins should be laundered by fast and slow service on each of the days in order to minimize his total costs. formulate the caterer’s problem as a linear program as follows (you must state any assumptions you make): a. define all variables clearly. how many are there? b. write out the constraints that must be satisfied, briefly explaining each. (do not simplify.) write out the objective function to be minimized. (do not simplify.)

Once george got to know adam, they found that they really liked each other. this is an example of what factor in friendship

The circle below is centered at the point (3, 1) and has a radius of length 2. what is the equation?