Read the word problem below. Soni has 196 pencils. If she puts equal amounts of pencils into eight boxes, she has four pencils left. How many pencils does she put in each box?

Which strategy could help solve this word problem?
If x represents the number of pencils per box, solve the equation 4x + 8 = 196.
Divide 196 by the sum of 4 and 8 and find the quotient.
Divide 196 by 4 and check that the remainder is 8.
If x represents the number of pencils per box, solve the equation 8x + 4 = 196.

The last option 8x + 4 = 196

Step-by-step explanation:

8x + 4 = 196

8x = 192

x=192/8

x=24

i'm pretty sure it's 477,585,296, but perhaps my math is incorrect.

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