First rewrite each number in scientific form
If Cassie has 20 and wants to keep 11 then we would subtract 11 from 20.
So 20 - 11 is 9.
Her sister will get 9 bracelets.
Hope this helps!
8x-12=5x+15
add 12 to both sides
8x=5x+27
subtract 5x from both sides
3x=27
divide by 3
x=9
The letter x means to find the value or any letter in the alphabet
The dot product is a scalar that is the sum of the product of the corresponding components.
For example,
<x1,y1,z1>.<x2,y2,z2> = x1x2+y1y2+z1z2 (scalar).
For v<6,7,-3> and w<-7,5,2>
we have
v.w=<6,7,-3>.<-7,5,2>=6(-7)+7(5)+(-3)(2)=-42+35-6=-13