Abandoned mines frequently fill with water. Before an abandoned mine can be reopened, the water must be pumped out. The size of pump required depends on the depth of the mine. If pumping out a mine that is D feet deep requires a pump that pumps a minimum of + 4D – 250 gallons per minute, pumping out a mine that is 150 feet deep would require a pump that pumps a minimum of how many gallons per minute?
(A)362
(B)500
(C)800
(D)1,250
(E)1,750
There are 45 musicians in an orchestra, and all play two instruments. Of these musicians, 36 play the piano, and 22 play the violin. What is the maximum possible orchestra members who play both the piano and the violin?
(F) 9 (G) 13 (H) 22 (J) 23 (K) 36
Correct Answer: H
A function is defined for x and y such that f(x, y) = -2xy + y + x - 4. So, for x = 2 and y = 3, f(2, 3) = -2 × 2 × 3 + 3 + 2 - 4 = -12 + 1 = -11. If x and y are to be chosen such that f(x,y) = f(y,x), then which of the following restrictions must be placed on x and y?
(F) x > 0 and y > 0 (G) x < 0 and y < 0 (H) x = y (J) xy < 0 (K) No restrictions are needed.
Correct Answer: K
= ?
（A）15
（B） 10
（C） 45
（D） 34 + 10
（E） 75
Correct Answer: E
More ACT Math Exam Questions
- 1
In the qualifying rounds for a race, Rusty and Dale drive their cars around a 6,000-foot oval track. Rusty and Dale each drive 8 laps in the qualifying rounds in lanes of identical length.
In the qualifying rounds, Rusty averages 180 seconds per lap until he begins the last lap. He then goes into a lower gear. He averages 190 seconds per lap for this qualifying round. How many seconds does Rusty take to drive the final lap?
- 2
Carla has 5 times as many notebooks as her brother does. If they have 42 notebooks between them, how many notebooks does Carla have?
- 3The expression (3x - 5)(x + 2) is equivalent to:
- 4Which of the following are the coordinates of the image of J under a 90° clockwise rotation about the origin?
- 5If 3x + 2y = 5, what is the value of the expression 6x + 4y - 7?