Quadrilateral PUMA has coordinates at P(-5,-2),U(-1,2),M(4,-3),A(0,-7) and it is transformed by (x, y)→(x+5,y-7). Part A: What is the x-coordinate of U'?

Suppose i flip two identical coins. what is the probability that i get one head and one tail?

Akayaker travels 3 miles upstream and 3 miles downstream in a total of 4 hours. in still water, the kayaker travels at a speed of 2 mph. what is the average speed of the river's current?

Your vet has placed your pet on a diet. the diet is to contain at least 12 mg of fat and at least 14 mg of protein per serving. these requirements are to be obtained from two food sources. source a contains 2 mg of fat and 2 mg of protein per serving. source b contains 1 mg of fat and 3 mg of protein per serving. if source a sells for $1.28 per serving and source b sells for $1.12 per serving, how many servings of each type should be purchased to satisfy the requirements at minimal cost?