Kyle has a bicycle whose central gear has a radius of 3 inches. The gear on the rear wheel, which is connected to the central gear by a bicycle chain, has a radius of 1.5 inches.
Part A: What distance would the chain travel if the central gear was rotated 225°? Explain your answer.
Part B: What degree of rotation would the gear on the rear wheel undergo during the rotation described in Part A? Explain your
answer.
Part C: How would the degrees of rotation change if the radius of the central gear was 6 inches and the radius of the gear on
the rear wheel was 2 inches? Explain your answer.
Part D: Using your previous work, describe the relationship between the degrees of rotation of two gears based on their radii.

Which compound inequality can be used to solve the inequality 3x+2 > 7? -7 < 3x+2> 7 -7> 3x+27 3x + 2 > -7 or 3x + 2 > 7 3x + 2 < -7 or 3x + 2 > 7

Which ordered pair is a solution of the equation? y + 5 = 2(2+1) choose 1 answer ® only (5,10 ® only (-1,-5) © both (5, 10) and (-1,-5) 0 neither

High school seniors with strong academic records apply to the nation’s most selective colleges in greater numbers each year. because the number of slots remains relatively stable, some colleges reject more early applicants. suppose that for a recent admissions class, an ivy league college received 2851 applications for early admission. of this group, it admitted 1033 students early, rejected 854 outright, and deferred 964 to the regular admission pool for further consideration. in the past, this school has admitted 18% of the deferred early admission applicants during the regular admission process. counting the students admitted early and the students admitted during the regular admission process, the total class size was 2375. let e, r, and d represent the events that a student who applies for early admission is admitted early, rejected outright, or deferred to the regular admissions pool. suppose a student applies for early admission. what is the probability that the student will be admitted for early admission or be deferred and later admitted during the regular admission process?