The result follows directly from properties of modular arithmetic:

That is,

means we can write
for some integer
. Then

and taken mod 12, the first term goes away, so

etc
Answer:
Step-by-step explanation:
1.5x^2+6x+.... so that it can be rewritten in the form a(x+b)^2
Let .... be C
1.5x^2+6x+C
=1.5(x^2+4x+(C/1.5))
Compare above with 1.5(x+2)^2 = 1.5(x^2+4x+4)
C/1.5=4
C=6
So the expression should be 1.5x^2+6x+6
It can be rewritten to 1.5(x+2)^2
Answer: 1100 boys
Step-by-step explanation:
45% students are girls
45% girls in number = 900
1% be = 900x45= 20
55% students are boys
55% boys in number= 55x20= 1100 boys
Answer:
x=2
Step-by-step explanation:
x/6=3/9
simplify 3/9 into 1/3
x/6=1/3
cross product
6*1=3x
6=3x
x=6/3=2
x=2
Answer:
x=4
Step-by-step explanation: