The equation that represents the canned goods order is 24x + 64y = 384, where x = number of minutes spent producing fruit cans, and y = number of minutes producing vegetable cans.

if the vegetable assembly line runs for 3 minutes, how many minutes would the fruit assembly line need to run to complete the order of 384 cans? explain.

8 Minutes

Step-by-step explanation:

24x+64y=384 y=3 minutes

24x+64930=384

24x+192=384

24x=384-192

24x=192

192/24=8 minutes

d. is the correct answer

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