Some foreign tourists were interviewed at the airport before they leave Philippines after their vacation. They were asked about what do they like to the place they have visited. According the survey there are 37 who likes the foods served, 43 who likes the people's hospitality, and 45 who likes the beautiful scene of the place. Out of the surveyed tourists, there are 20 who likes both the food and the people, 27 who likes both the people and the scene, and 23 who likes both food and the scene. If there are 10 tourists who like the food, the people and the scene and there 5 who are not satisfied as they don't like the food, the people and the scene of the place, how many tourists were interviewed?

How can you decide witch operations to use to slice a two step equation

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.

Meg constructed triangle poq and then used a compass and straightedge to accurately construct line segment os, as shown in the figure below, which could be the measures of angles pos and angle poq?