Need help with trigonometry

Movie $5.50 soda $1.75 popcorn $2.25 candy bar $1.10 jeffrey left home with $20 in his wallet. he had a quick lunch that cost $8.47 and went to the movie theater. which of these activities can jeffrey do? a) go to movie and take two friends b) go to movie and have a soda, a popcorn and a candy bar c) go to movie, take a friend, and have a popcorn to share d) go to a movie, have 2 popcorns, 2 sodas, and 2 candy bars eliminate

Tom is making a punch that contains 80% cranberry juice and the rest ginger ale. the punch has 2 liters of ginger ale. part a: write an equation using one variable that can be used to find the total number of liters of cranberry juice and ginger ale in the punch. define the variable used in the equation and solve the equation. hint: 0.8x represents the number of liters of cranberry juice in the punch. (5 points) part b: how many liters of cranberry juice are present in the punch? show your work.

1. an economy consists of three workers: larry, moe, and curly. each works 10 hours a day and can produce two services: mowing lawns and washing cars. in an hour, larry can either mow one lawn or wash one car; moe can either mow one lawn or wash two cars; and curly can either mow two lawns or wash one car. a. calculate how much of each service is produced under the following circumstances: a. all three spend all their time mowing lawns. b. all three spend all their time washing cars. c. all three spend half their time on each activity d. larry spends half of his time on each activity, while moe only washes cars and curly only mows lawns b. using your answers to part a, draw a production possibilities frontier and label points a, b, c, and d on your graph. explain why the production possibilities frontier has the shape it does. c. are any of the allocations calculated in part a inefficient? explain.