If the blocks were 9 different colors, then there would be
9 !(factorial) = 362,880 different ways to line them up.
But for each different line-up, there are 5! =120 ways to arrange
the green blocks and you can't tell these apart, 2!= 2 ways to arrange
the white blocks and you can't tell these apart, and 2!=2 ways to arrange
the orange blocks and you can't tell these apart.
So the number of distinct, recognizable ways to arrange all 9 blocks
is
(9!) / (5! · 2! · 2!) = (362,880) / (120 · 2 · 2) = 756 ways.
Ok, the perimeter of the rectangle is 40 inches.
Answer:
First term of the sequence is 
Step-by-step explanation:
Let
be the first term and
be the common difference
We have
The sum of the second term and the ninth term of an arithmetic sequence is 

The sum of the third and fourth terms of the same sequence is 

eqn 1 - eq2

Substituting in eqn 1

First term of the sequence is 
Answer:
10
servings
Step-by-step explanation:
there are 2 half cups in a cup
2x =1
the x in this case will be the 5 cups
so
2 (5) = ? cups
10 cups
now onto the
cup
*
= 
and you add that onto the 10 cups