If 10% of x is 20 what is 23% of x

46 (23%)

Step-by-step explanation:

If 10% of x is 20, we can assume that 100% of x is 200. This is because since 10% is such a nice number to work with, we can simply add a zero to the end of it and the number. Now, we can see that 50% is 100 and 25% is 50. 20% is 40 and 10% is 20. 5% is 10 and 1% is 2. That being said, we need to do 50% + 3%. Which leaves us with 50 (25%) - 4 (2%). That being said, the answer is 46 (23%).

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