math

7. The tennis team is selling key chains as a fundraiser. If its goal is to raise is at least 180, how many key chains must it sell at $2.25 each to meet that goal? Write and solve an inequality.
a. 2.25k (greater than or equal to) 180; k (greater than or equal to) 100
b. 180k (greater than or equal to) 2.25; k (greater than or equal to) 80
c. 180k (greater than or equal to) 2.25; k (greater than or equal to) 150 *
d. 2.25k (greater than or equal to) 180; k (greater than or equal to) 80

8. A student scored 83 and a 91 on her first two quizzes. Write and solve a compound inequality to find the possible values for the third quiz score that would give her an average between 85 and 90, inclusive.
a. 85 (less than or equal to) 83 + 91 +n / 3 (less than or equal to) 90; 81 (less than or equal to) n (less than or equal to) 96
b. 85 (less than or equal to) 83 + 91 / 2 (less than or equal to) n; -2 (less than or equal to) n (less than or equal to) 3 *
c. 90 (less than or equal to) 83 + 91 + n / 3 (less than or equal to) 85; 96 (less than or equal to) n (less than or equal to) 81
d. 83 (less than or equal to) 83 + 91 + n / 3 (less than or equal to) 90; 73 (less than or equal to) n (less than or equal to) 94

9. Starting from 105 feet away, a person on a bicycle rides towards a checkpoint and then passes it. The rider is travelling at a constant rate of 35 feet per second. The distance between the bicycle and the checkpoint is given by the equation d = |105 - 35t|. At what times is the bike 60 feet away from the checkpoint?
a. 1.3 seconds and 2.6 seconds
b. 1.3 seconds and 4.7 seconds
c. 1.1 seconds and 2.6 seconds *
d. 4.7 seconds and 9.4 seconds

10. Suppose P = {0,1,2,3,4,5,6,7,8,9} and V = {2,4,6,8,10,12,14,16,18,20}. What is P (subset) V?
a. {0,1,2,3,4,5,6,7,8,9,10,12,14,16,18,20}
b. {0,1,3,5,7,9} *
c. {10,12,14,16,18,20}
d. {2,4,6,8}

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  1. #7 Nope. The total key sales must be >= 180K

    #8 Nope. 85 <= (83+91+x)/3 <= 90

    #9 Nope. |105 - 35t| = 60
    105 - 35t = ±60

    #10 First of all, P is not a subset of V. So you are naming the wrong symbol.

    Your answer appears to be P-V (elements of P not in V)
    (a) = P∪V
    (d) = V-P
    (c) is V-(P∩V)

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