Agrocery clerk has 16 oranges, 20 apples, and 24 pears. the clerk needs to put an equal number of apples, oranges, and pears into each basket. what is the greatest number of baskets that can be made so that no fruit is left?

4

Step-by-step explanation:

Here you find the greatest common factor of 16,20 and 24

The  greatest common factor of a set of whole numbers is the largest positive integer  that divides evenly into all numbers with no remainder.

Here, the G.C.F will be

   16    20    24

2    8    10     12

2    4     5      6

2×2=4

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