In a school of 464 students, 89 students are in band, 215 are on sports teams, and 31 participate in both activites. How many students are involded in neither band nor sports?

The answer to your question is 191

Step-by-step explanation:

Data

Total number of students = 464

Students in a band = 89

Students in sports = 215

Students in both activities = 31

Students do not practice any activity = ?

Process

1.- Subtract 31 from the students in a band and students in a sport

        89 - 31 = 58

       215 - 31 = 184

2.- Add the previous results anfd the number of students that practice both activities

         58 + 184 + 31 = 273

3.- Subtract 273 from the total number of students

         464 - 273 = 191

4.- Conclusion

191 students are not involved in any activity.

the answer is d

step-by-step explanation:

y+3=-4(x-2)

y+3=-4x+8

  -3         -3  

y=-4x+5

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3