# Mathematics

Question 1.

A survey of 115 tourists. The survey showed the following:

66 of the tourists plan to visit Gateway Arch;

50 plan to visit the zoo;

30 plan to visit the Art Museum;

20 plan to visit the Gateway Arch and the zoo;

14 plan to visit the Art Museum and the Gateway Arch;

19 plan to visit the Art Museum and the zoo;

8 plan to visit the three places;

1. a) How many plan to visit none of the three places?
2. b) How many plan to visit the Art Museum only?
3. c) How many plan to visit the Art Museum only and the zoo, but not Gateway Arch?

Question 2. Translate the statement into a mathematical equation.

1. I) Twice a number less 2 equals
2. II) 8 less than a number

III) A number added to six times the number

Question 3.

1. Determine whether the variation is direct or inverse: The radius of a circle and its
2. Determine whether the variation is direct or inverse:

The time it takes to drive 100 miles and the speed at which you drive.

1. If f varies jointly as q2 and h, and f = 36 when q = 3 and h = 2, find f when q = 2 and h =

1. The volume V of a given mass of gas varies directly as the temperature T and inversely as the pressure If V = 490.0 in.3 when T = 490° and P = 15 lb/in.2, what is the volume when T = 290° and P = 20 lb/in.2?

Question 4.

1. A)Solve the inequality -17 < 4x + 3 ≤ -1

1. B)Graph the solution of the inequality, where x is an integer:

2(x + 4) + 2 >4

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