Violet is baking a mixed berry pie that contains blueberries, cherries, blackberries, and raspberries. She uses three times as many blackberries as cherries, twice as many blueberries as raspberries, and the same number of blackberries and raspberries. If Violet has 10 cherries, how many of each of the other berries must she use? Raspberries Blueberries Blackberries
(A)3 2 3
(B) 30 2 3
(C) 30 2 30
(D) 30 60 10
(E) 30 60 30
Greg is making a triangular sail for a boat, shaped like a right triangle and shown below.
Sail material costs $8.99 for 150 square feet. If the material can be purchased in any quantity, which of the following is closest to the cost in dollars of the material needed to fill the area of the sail as shown?
(F) $360.00 (G) $280.00 (H) $200.00 (J) $180.00 (K) $25.00
Correct Answer: J
For all values of θ over which sin θ and cos θ are nonzero,
(A)1 (B) tan θ (C) cot θ (D) sec θ (E) cscθ
Correct Answer: C
A restaurant decides on the following production model, where N is the number of ounces of flour the restaurant purchases each month, based on the number of ounces, x, the restaurant uses during the preceding month. N = x2 - 600x - 160,000. According to this model, what is the greatest quantity of flour, in number of ounces, that the restaurant can use during a month, without having to purchase any new flour the next month?
(A) 800 (B) 550 (C) 400 (D) 350 (E) 200
Correct Answer: A
More ACT Math Exam Questions
- 1
What is the value of ain terms bif ?
- 2
The 12 numbers on a circular clock are equally spaced around the edges of the clock. Belinda chooses an integer, n, that is greater than 1. Beginning at a randomly chosen number, Belinda goes around the circle counterclockwise and paints in every nth number. She continues going around and around the clock, painting in every nth number, until all twelve numbers on the clock are painted. Which of the following could have been Belinda's integer n?
- 3What is the value of 4v(w2– 3vw) given that v= –1 and w= 4
- 4A 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?
- 5Ansgar is writing a novel. He writes seven days a week. On each of those days he writes for at least 4 hours but never more than 8 hours. Last week, he wrote for exactly 46 hours. What is the maximum number of days on which he could have written for 8 hours?