The table below shows the ticket rates for whale watching trips offered by orca magic tours: age ticket price under 3 years free 3 to 12 years $32 over 12 years $44 on a certain day, the company took 82 people on whale watching trips. there were 54 children aged 12 and under, of which some children were under 3 years. if x represents the number of children under three years, which equation can be used to find the value of x, where c represents the total amount of money collected from tickets that day? (54 + x)32 + (82 −

a: (54 + x)) ⋅ 44 = c

b: (54 − x)32 + (82 − 54) ⋅ 44 = c

c: (82 + x)32 + (82 − (54 + x)) ⋅ 44 = c

d: (82 − x)32 + (82 − 54) ⋅ 44 = c

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The diameter of a circular chip is doubled to use in a new board game. the area of the new chip will be

The school track has eight lanes. each lane is 1.25 meters wide. the arc at each end of the track is 180. the distance of the home straight and the radii for the arcs in the 1st 4 lanes are given. s=85m r1=36.5m r2=37.75m r3=39m r4=40.25m part one: find the radii of lanes 5 through 8 of the track. show your work. part two: if max ran around lane one, how far did he run? show your work and explain your solution. part three: max wants to run a total of three laps around the track, choose two additional lanes (2-8) for him to run and find the distance around those two lanes. show your work and round to the hundredths. part 4: based on your lane choices in part three, what was the total distance max ran in the three laps around the track?