A middle school principal has 80 keys on her key chain to distribute to staff on the first day of school. Of these 80 keys, 60 open classroom doors, 40 open the door to the teachers' lounge, and 30 open classroom doors and the teachers' lounge. Using this information, answer each of the following questions.

Let CCC be the event that a randomly selected key opens a classroom and TTT be the event that a randomly selected key opens the teachers' lounge.

What is P(C)P(C)P, left parenthesis, C, right parenthesis, the probability that a key opens a classroom?

Rectangle bcde is similar to rectangle vwxy. what is the length of side vy? a) 1 7 b) 2 7 c) 3 7 d) 4 7

Plot a point at the y-intercept of the following function on the provided graph. 3y=-5x+7 20 points

Which description is represented by a discrete graph? kiley bought a platter for $19 and several matching bowls that were $8 each. what is the total cost before tax? the temperature at 9 a.m. was 83° f and is heating up at an average rate of 6°f per hour. what is the temperature x hours later? juan ate an egg with 78 calories and some cereal with 110 calories per serving for breakfast. what is the total amount of calories he consumed? a bottle contained 2,000 ml of liquid and is being poured out at an average rate of 300 ml per second. how much liquid is left in the bottle after x seconds?