Zoe owns a food truck that sells tacos and burritos. She only has enough supplies to make 113 tacos or burritos. She sells each taco for $3 and each burrito for $6. Zoe must sell at least $510 worth of tacos and burritos each day. If 53 tacos were sold, determine all possible values for the number of burritos that Zoe must sell in order to meet the requirements. Your answer should be a comma separated list of values. If there are no possible solutions, submit an empty answer.

Triangle xyz has vertices x(1,3), y(0,0)

In new york city at the spring equinox there are 12 hours 8 minutes of daylight. the longest and shortest days of the year very by two hours and 53 minutes from the equinox in this year the equinox falls on march 21 in this task you use trigonometric function to model the hours of daylight hours on certain days of the year in new york city a.what is the independent and dependent variables? b.find the amplitude and the period of the function. c.create a trigonometric function that describes the hours of sunlight for each day of the year. d. graph the function you build in part c. e. use the function you build in part c to find out how many fewer daylight hours february 10 will have than march 21. you may look at the calendar.

How can constraints be used to model a real-world situation?