A sofa is on sale for $258.40 which is 34%of the regular price. What was the regular price?

$391.52

Step-by-step explanation:

The original price was 100% of the original price.

Since it was sold at 34% off, then since 100% - 34% = 66%, it was sold for 66% of the original price.

Let the original price = x.

66% of x = $258.40

0.66x = 258.4

x = 258.4/0.66

x = 391.52

$391.52

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

me

step-by-step explanation: