As shown below, the diagonals of rectangle EFGH intersect at the point (-2,-4) in the standard (x,y) coordinate plane. Point F is at (-7,-2). Which of the following are the coordinates of H?
(F)
(G) (-7,-6)
(H) (3,-2)
(J) (3,-6)
(K) (-5,3)
Jackson worked 25 hours and received $225. At the same rate of pay, how much would he make if he worked 40 hours?
(A) $300(B) $325(C) $350(D) $360(E) $400
Correct Answer: D
Two hoses attached to separate water sources are available to fill a cylindrical swimming pool. If both hoses are used, the time it will take to fill the pool can be represented by the following equation: , where T1 and T2 represent the time needed for hoses 1 and 2, respectively, to fill the pool on their own, and Tc represents the time needed for hoses 1 and 2 to fill the pool working together. If hose 1 alone can fill the pool in exactly 20 minutes and hose 2 alone can fill the pool in exactly 60 minutes, how many minutes will it take to fill the pool if both hoses work simultaneously?
(A) 3 (B) 10 (C) 15 (D) 18 (E) 40
Correct Answer: C
Payton ran 1 miles on Monday, 2 miles on Tuesday, and 1 miles on Wednesday. What is the median distance that he ran?
(A)7.200 miles (B) 5.742 miles (C) 1.914 miles (D) 1.875 miles (E) None of these.
Correct Answer: D
More ACT Math Exam Questions
- 1In the figure below, where ABC ~ XYZ, lengths are given in inches and the perimeter of ABC is 576 inches. What is the length, in inches, of ?
(Note: The symbol ~ means "is similar to.")
- 2
Consider the exponential equation y = , where K and p are positive real constants and x is a positive real number. The value of y decreases as the value of x increases if and only if which of the following statements about p is true?
- 3A basketball player has attempted 30 free throws and made 12 of them.
Starting now, if he makes every free throw attempted, what is the least number of additional free throws he must attempt to raise his free-throw percentage to at least 55%?
(Note: Free-throw percentage =
× 100.)
- 4
In the complex numbers, where , the conjugate of any value a + bi is a– bi.What is the result when you multiply 2 + 7i by its conjugate?
- 5A flight instructor charges $75 per lesson, plus an additional fee for the use of his plane. The charge for the use of his plane varies directly with the cube root of the time the plane is used. If a lesson plus 27 minutes of plane usage costs $120, what is the total amount charged for a lesson involving 64 minutes of plane usage?