There are 12 third grade students and 15 4th grade students in the band they will travel to a concert in cars that can hold four students each which of these can be used to find out how many cards are needed to drive the students

#_cars = 7

Explanation:

For this exercise let's start by finding the total number of students

          #_students = 12 +15

          #_students = 27

Now we can use a direct proportion relationship or rule of three. If 4 students drive, how many cars for 27 students?

          #_cars = 27 (¼)

          #_cars = 6.75

the number of cars must be an integer therefore the correct answer is

         #_cars = 7

the simple machine has three main features. they are:

fulcrum is the center point or pivot point of the machine. effort is input force/ applied force. load is external force/ output.

the keisha 's machine labels are

x : load

y: fulcrum

z: lever

see the picture for the vector

the magnitude of the vector by pythagorean theorem

r = √( (-10)^2 + (3)^2 ) = √109

magnitude = √109 units

the direction angle between vector and x-axis is

tan^(-1)(3/10) = 16.699

so the direction is approximately 16.7 degrees north of west