Franklin School is having a Popsicle party for its nine hundred fifty students. Each student will get two Popsicles. Popsicles come in boxes that have one dozen Popsicles. There are twenty-five boxes in a carton. The principal is sure that the number of Popsicles in the cartons bought will go equally into the number of Popsicles needed for the students. The secretary says that there will be some Popsicles left over to share with the teachers. How many complete cartons of Popsicles does Franklin School need? Explain if the principal or the secretary is correct and why.

1) The number of complete cartons Franklin School need is 7 complete cartons of Popsicles

2) The secretary is correct as there are extra 200 Popsicles left over to share with the teachers

Step-by-step explanation:

1) The number of students in Franklin School = 950 students

The number of Popsicles each student will get = 2 Popsicles

The number of Popsicles per box of Popsicles = 12 Popsicles

The number of boxes in a carton Popsicles of Popsicles = 25 boxes

Therefore, the number of Popsicles the students get = 950 × 2 = 1,900 Popsicles

The number of cartons required = 1,900/(12 × 25) = 6. cartons

Therefore, Franklin School needs 7 complete cartons of Popsicles

2) The number of Popsicles in 7 complete cartons are 7 × 12 × 25 = 2,100 Popsicles

The number of Popsicles left = 2,100 - 1,900 = 200 Popsicles, therefore, the secretary is correct because there are 200 Popsicles left over to share with the teachers

step-by-step explanation: h: (- 3, 6)

m: (1, - 2)

o: (7, 6)

r: (- 9, - 2)

midpoint of hm: (- 1, 2)

midpoint of or: (- 1, 2)

therefore, b is the midpoint of both diagonals bisect each other !

to prove the diagonals are perpendicular, show that the product of the slopes = - 1