“when i left the house this morning, i noticed that i was short on cash,” gary said. “i spent one-half of what i had on my train ticket, then bought a quarter’s worth of candy. when i got to the station i spent half of what i had left, plus fifty cents, on newspapers. then i spent half the remaining money on bus fare, and gave seventy-five cents to a homeless man outside. when i got to work i had only a quarter left. how much did i start out with?

You drop a rubber ball off the roof of a 50 meter high building onto a paved parking lot. it bounces back up with every bounce, but not quite all the way back up to you. after the first bounce it bounces back only 80 percent of the distance it was dropped from. the pattern continues, meaning after every bounce it comes up to just 80 percent of the previous maximum height. so if before the first bounce the height is 50 meters, what height does the ball reach after the fifth bounce? round your answer to one decimal place and chose the correct response from the choices below:

Christina can paint 420 square feet in 105 minutes. which unit rate describes the scenario?

List x1, x2, x3, x4 where xi is the left endpoint of the four equal intervals used to estimate the area under the curve of f(x) between x = 4 and x = 6. a 4, 4.5, 5, 5.5 b 4.5, 5, 5.5, 6 c 4.25, 4.75, 5.25, 5.75 d 4, 4.2, 5.4, 6