Mrs. pine took tennis lessons. she traveled 15 miles one way at an average cost of $0.45 per mile. her racket cost $84, balls cost 15.50, shoes cost $47.00, her warm-up was $32, and her shorts were on sale for $22. she paid 5% sales tax on her equipment and $25.00 per lesson for 10 lessons. including the cost of round-trip travel for all 10 lessons, what did this cost?

Lian is deciding which of two gyms to join. each gym charges a monthly rate plus a one-time membership fee. lian correctly wrote and solved a system of linear equations by substitution to compare the costs of the memberships. in her work, she substituted an expression for one variable and solved for the other. this resulted in the equation 75 = 75. what can lian conclude? one gym charges $75 per month. each gym charges $75 per month both gyms charge the same monthly rate and the same membership fee. both gyms charge the same monthly rate, but not the same membership fee.