Marita orders 12 yards of material to make banners if she needs one foot of fabrics for each banner how many banners can she make

The conversion factor for yards to feet is:

1 yard =3 feet

To find the number of feet in 12 yards multiply each side of the equation by 12

12×1 yard =12×3 feet

12 yards =36 feet

Because each banner is 1 foot Marita would be able to make 36 banners

hope this helps

the correct answer is 45x

9×5=45 then add the x

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