The price of a dress is reduced by 50%.when the dress still does not sell, it is reduced by 50% of the reduced price. if the price of the dress after both reductions is $36, what was the original price?

$144

Step-by-step explanation:

If the price of an item whose original cost is F dollars is reduced by 50%, the new price of the item must be equivalent to the difference between the original and the amount by which it was reduced. This new price must be equal to

= F - (50% *F)

= 0.5F    (measured in $)

If the new price is further reduced by 50%, the new price will be

= 0.5F - (50% * 0.5F)

= 0.5F - 0.25F

= 0.25F

if the price of the dress after both reductions is ​$36​, then  it means that

0.25F = $36

F = $36/0.25

= $144

The original price was $144

x=4

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