At a building site there are 16 pallets with sacks of cement. the total weight of all the pallets and cement is 4,856 pounds. each pallet with cement weighs the same amount. how much does each pallet with cement weigh?

303.5 pounds

Step-by-step explanation:

If all the pallets weigh 4,856 together and each pallet weighs the same since they have equal cement and cement weight is equal, then 16 pallets will weigh 303.5 pounds each.

This is true because 4,856 / 16 = 303.5.

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

1 x=22.52

2: 65/39=604+39x

65x-39x=604

26x=604

x=604/26

×=23.23