Melody

a is meant to be an integer.

How many cookies in a pan?  There is a number missing.

2. Consider a 3x3 square with triangles and squares. In how many ways can the square have three triangles in a line and three squares in another line?

(a) Disregard diagonal lines.

(b) Regard diagonal lines.

Do you have a pic to show us what you are talking about?

This isn't intended as a trig question.  

Draw the pic and you will see the answer fairly easily.  

I assume you want the equation

The vertex is (-4,2)  and it passes though (-2,0)

\((y-2)^2=4a(x+4)\\ sub\;\; in \;\;(-2,0)\\ 4=4a*2\\ 2a=1\\ a=0.5\\~\\ (y-2)^2=2(x+4)\\\)

now rearrange to get it into the forem you want.

One of us obviously made a boo boo Ginger :)

1. In a paintball game, Jack attempted 20 shots and made 15 in the first half. In the second half, he was a marksman and made every single one of his 10 shots.

Jill scored a lower percentage of shots than Jack in each of the halves, but had exact same overall percentage as Jack.

If Jill attempted 12 shots and 18 shots in the first and second half respectively, how many baskets did Jill score in each?

Jack attempted 30 shots and made 25.      25/30 

Jill attempted 30 shots She scored the sam percentage in total  but less spercentage in each half

First half

Jack got 3/4

Jill got less than 3/4 of 12  so less than 9.    That would be a max of 8 out of 12

Second half

Jack got 100% so Jill go less than that, a maximum of  17 out of 18

\(\frac{8-c+17-k}{30}=\frac{25}{30}\\ 25-(c+k)=25\\ c+k=0\\\)

So Jill got 8 in the first half and 17 in the second half

Answered here

How many ways are there to put 4 distinguishable balls into 3 indistinguishable boxes?

can the boxes be empty.  I will asume they can

Everything is indsitinguishable so...

4,0,0

3,1,0

2,2,0

2,1,1

that is it.    4 ways.