Answer:
Step-by-step explanation:
Let 
represent a small box of pencil and 
represent a large box of pencil.
We were told that "A large box has ten times as many pencils as a small box". This statement gave the equation;
If Mr. Adachi buys 5 small boxes and 2 large boxes, for a total of 250 pencils, then the equation Mr. Adachi set up was;
where 
and 
has no common factor other than 1.
3 12
- = -
8 32
12/32 divide by 4 on top and bottom = 3/8 (correct)
12/4 = 3
32/4 = 8
answer is 3/8
3 12
- = --
8 32
hope this helps
Perfect squares are n² where n is a whole number
whole numbers are like 0,1,2,3,4,5,6, etc
no decimal or fractions
we can do that be looking at the perfect squares we know
2²=4
3²=9
4²=16
5²=25
6²=36
7²=49
8²=64
etc
so we see 47 is between 6² and 7²
therefor, for n²=47, n is between 6 and 7 and is therfore not a whole number
that makes 47 not a perfect square
