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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

The Correct Answer

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, image

(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

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