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.

  11.78 inches

Step-by-step explanation:

The chain travel will equal the length of the 225° arc on the central gear. Arc length (s) is given by the formula ...

  s = rθ

where θ is the central angle in radians. We know that 180° is π radians, so the chain travel is ...

  s = (3 in)(225°)(π/180°) = 15π/4 in ≈ 11.78 in

7 weeks

step-by-step explanation:

convert each fraction to the least common multiple of 20, so 3/4 = 15/20 & 1/10 = 2/20, then divide 15 by 2 and you get a little over 7, so the food will last 7 weeks.