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Marion has a bicycle that she is planning to take for a ride. the rim of the rear wheel lies 41 cm from the center of the wheel. the tire itself has a thickness of 3 cm. in order for marion to ride her bicycle 96,712 cm approximately how many rotations will the rear wheel make?

Simplify the expression 3x(x – 12x) + 3x2 – 2(x – 2)2. which statements are true about the process and simplified product? check all that apply. the term –2(x – 2)2 is simplified by first squaring the expression x – 2. the simplified product is a binomial. after multiplying, the like terms are combined by adding and subtracting. the parentheses are eliminated through multiplication. the final simplified product is –28x2 +8x – 8.

At a salon, there are nail technicians and hair stylists. the salon owner wants to expand, but can only afford to add no more than 9 new positions. a typical nail technician can see 10 clients per day. a typical hair stylist can see 15 clients per day. the salon owner hopes to be able to see more than 100 clients per day. the new positions constraint is represented by x + y ≤ 9, where x represents the number of nail technicians and y represents the number of hair stylists. find the inequality representing the clients constraint for this situation.