There are there are are 31 lockers open. These are the numbers of lockers open. 1,4,9,16,25,36,49,64,81,100,121,144,169,196,225,256,289,324,361,400,441,484,529,576,625,676,729,741,900,and 961. This is the answer because, first I drew 1-30, as numbers. Then I went through 30 to see which ones would be closed and which ones would be opened. They changed a lot, especially 30. After I did the closing and opening, I found which one was opened. This is because the question is which locker doors are opened. I saw that all the numbers that were opened were square numbers. Square number a the product of a number multiplied by itself. Like, 6 times 6 = 36. So, I found all the square numbers to 1000 because all the ones that were opened for 30 was square. So, the answers is the square numbers. I observed that on the the first opened their is 2 in between until the next opened number, second is 4in between, the 6, then 8, so in those up to thirty it’s 2 in between. Another way to do t...