In a class of 54 students, 18 take bio, 11 take math, 19 take English, 4 take bio and math, 7 take Bio and English, 2 take Math and English and 3 take all 3 classes. How many students do not take any of these classes?

Cot(90° − x) = 1 the value of x that satisfies this equation is °. a. 60 b. 135 c. 225 d. 315

Solve the following system of equations express your answer as an ordered pair in the format (a, b) with no spaces between the numbers of symbols 5x+2y=22

Solve the problem by using a venn diagram a group of students were surveyed about their taste in music. they were asked how they like three types of music: rock, country western and jazz. the results are summarized below: no one dislikes all three types of music. six like all three types of music. eleven don’t like country western. sixteen like jazz. three like country western and jazz, but not rock. six don’t like rock. eight like rock and country western. seven don’t like jazz. how many students were surveyed?