SOLVE PROBLEM #1 and #2, please... PROBLEM #1:
There are a total of 124 students in the band. There are 12 more boys than girls in the band. Write a system of linear equations that represents this situation. How many boys and how many girls are in the band?

PROBLEM# 2:
A farmer plants corn and wheat on a 180-acre farm. The farmer wants to plant three times as many acres of corn as wheat. Write a system of linear equations that represents this situation. How many acres of each crop should the farmer plant?

Answer these questions please, i will mark as brainlest, i will give you a thanks, and points

IMPORTANT NOTE:: Must write the problem # 1 & 2 next to the answer so i could know where this answer belongs in Q# 1 or 2.
THANK YOU!

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