James was trying to sleep one night but there was too much noise around him. His clock ticked every 20
seconds; a tap was dripping every 15 seconds and his
pet dog snored every 27 seconds. He noticed on his
clock that all three events happened together on the
stroke of midnight.
(a) After how many minutes would all the three
events happen together again?
(b) How many times would all three events happen together again between midnight and one o’clock?

George is folding a piece of paper to make an origami figure. each time he folds the paper, the thickness of the paper is doubled. the paper starts out flat, with a thickness of 1 millimeter. a. write a list of six ordered pairs showing the output as the thickness of the paper when the input is the number of times it is folded. explain how you came up with your ordered pairs. b. is this relation a function? explain why or why not using the ordered pairs you came up with in part a.

Which statement is not always true for a parallelogram? (a) opposite sides are congruent. (b) diagonals bisect each other. (c) it has 4 congruent angles. (d) consecutive angles are supplementary.

Aplane flies around trip to philadelphia it flies to philadelphia at 220 miles per hour and back home with a tailwind at 280 miles per hour if the total trip takes 6.5 hours how many miles does the plane fly round trip