In a school of 464 students, 89 students are in the band, 215 students are on sports teams, and 31 students participate in both activities. How many students are involved in neither band nor sports? A.160 students
B.191 students
C.249 students
D.433 students

191 students  B option is correct

Step-by-step explanation:

Total students=464

In band=89

sports teams=215

Number of students who participates in activities is

215+89=304

31 participate in  both activities so,

304-31=273

273 who participate in activities

Total students-273=Not involved in any activity

464-273=191

true statements:

a) x + y = y + x   ⇒ commutative property of addition

b) (x * y) * z = x * (y * z) ⇒ associative property of multiplication

d) (x + y) + z = x + (y + z) ⇒ associative property of addition

false statements:

c) x - y = y - x   should be: x - y = - y + x

e) (x - y) - z = x - (y - z) should be: (x - y) - z = x - (y + z)

step-by-step explanation:

solve systems of equations by graphing. a system of linear equations contains two or more equations e.g. y=0.5x+2 and y=x-2. the solution of such a system is the ordered pair that is a solution to both equations. to solve a system of linear equations graphically we graph both equations in the same coordinate system