Your job is to sort and sack marbles for sale. a bag contains 44 marbles, some red and some green. if there are 11 red marbles, what is the ratio of green to red marbles?

1: 3
1: 4
3: 1
4: 1

Option C is correct

The ratio of green to red marbles is, 3 : 1

Step-by-step explanation:

As per the statement:

A bag contains 44 marbles, some red and some green.

⇒Total marbles = 44

If there are 11 red marbles.

then;

Green marbles = Total marbles - red marbles.

Substitute the given values we have;

Green marbles = 44 - 11 = 33

We have to find  the ratio of green to red marbles.

Therefore,  the ratio of green to red marbles is, 3 : 1

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