Glen says, when someone picks a positive integer, and then writes down a sum of all integers from one to the integer that was picked and then adds all the integers back down to one, the
sum will be the square of the integer that was picked.
For example:
Pick 5, 1+2+3+4+5+4+3+2+1=52
Pick 7, 1+2+3+4+5+6+7+6+5+4+3+2+1=72
Will this always work for any positive integer?
Why?

incomplete question. how do you expect anyone to you when you do not post the question in its entirety?

add the numbers under frequency to find the total number:

5 + 8 +7 + 4 + 0 +1 = 25

the answer is 25.

mariah is studying the life cycle of the monarch butterfly. she must choose one stage in the cycle to present in science class: egg, caterpillar, chrysalis, or adult. she plans to make her choice randomly using a custom spinner divided into four sections. first, however, she spins the spinner 50 times to see the frequencies it generates.

stage times landed on

egg 10

caterpillar 12

chrysalis 15

adult 13

step-by-step explanation:

well, because the $0.25 is an added cost depending on how many minutes, the answer would be y = 30 + 0.25x.