Abox of ice cream bars costs 1.50 after a 25 percent discount what was the original price of the box of ice cream bars? if there is a 35 percent discount, what percent of the original price must a customer pay?

$2.00 is the original price

Step-by-step explanation:

Step 1:

Turn 25% into a decimal which makes it 0.25

ex. 50% would be 0.50, 5% would be 0.05 etc.

Step 2:

Put the numbers into this formula: Original Price (x) - Percent Off times Original Price = Sales Price

x - 0.25x = 1.50  this is basically 1x - 0.25x = 1.50 so,

Solving the left side of our equation gives us 1x - 0.25x = 0.75x

so now you have: 0.75x = 1.50

Step 3:

Divide both sides by 0.75 which gets x by itself and gives us the original price which is $2.00

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