For an employee training, the employee to instructor ratio is 24 to 2. If there are 26 instructors for the training, how many employees participated in the training?

312 employees participated in the training

Step-by-step explanation:

Given;

employee to instructor ratio is 24 to 2

there are 26 instructors for the training

let the total number of instructors be I = 26

let the total number of employees be e = ?

employee to instructor ratio is 24 to 2, e : I = 24 : 2

e : I = 24 : 2  = e : 26

Therefore, the total number of employees who participated in the training is 312

$35.59 in pounds

step-by-step explanation:

the value of v.w= -12.

step-by-step explanation:

we are given three vector r,v and w as:

r = < 5, -5, -2> ; v = < 2, -8, -8> ; w = < -2, 6, -5>

we know that r,v and w could also be represented as:

r=5i-5j-2k

v=2i-8j-8k

and w= -2i+6j-5k

where i,j and k are the unit vectors of x,y and z-axis respectively.

also we know that it has the following property:

i.i=1 ; j.j=1; k.k=1

and i.=j.i=i.k=k.i=j.k=k.j=0

i.e. when we multiply two vectors or we find it's dot product we need to only multiply the components of x coordinates with each other; y with each other and z with each other.

hence, v.w= (2i-8j- -2i+6j-5k)

                  = 2×(-2)+(-8)×(6)+(-8)×(-5)

                  = -4-48+40

                  = -12

hence, v.w= -12