The bottom of ignacio's desktop is 74.5\,\text{cm}74.5cm74, point, 5, space, c, m from the floor. ignacio sits in his adjustable chair, and the tops of his legs are 49.3\,\text{cm}49.3cm49, point, 3, space, c, m from the floor. each clockwise rotation of the knob on the chair raises ignacio's legs by 4.8\,\text{cm}4.8cm4, point, 8, space, c, m.
write an inequality to determine the number of clockwise rotations, rrr, ignacio could make with the knob without his legs touching the desk.

The number of chocolate chips in an 18-ounce bag of chocolate chip cookies is approximately normally distributed with a mean of 1252 chips and standard deviation 129 chips. (a) what is the probability that a randomly selected bag contains between 1100 and 1500 chocolate chips, inclusive? (b) what is the probability that a randomly selected bag contains fewer than 1125 chocolate chips? (c) what proportion of bags contains more than 1225 chocolate chips? (d) what is the percentile rank of a bag that contains 1425 chocolate chips?

It took alice 5 5/6 hours to drive to her grandparents' house for . on the way home, she ran into traffic and it took her 7 3/8 hours. how much longer did the return trip take? write your answer as a proper fraction or mixed number in simplest form. the trip home took __hours longer. ?

What is the x-intercept and y-intercept of the equation 2x+1. 2o