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Pat's Pastries baked 80 apple pies and 50 loaves of apple bread to be sold at a 2-day Fall Festival. The pies were sold for $25 each and the loaves of bread were sold for $10 each. Which of the following expressions gives the total amount of money, in dollars, collected from selling all of the apple pies and B of the loaves of bread?

(A) 35B

(B) 1,570B

(C) B + 80

(D) 10B + 1,250

(E) 10B + 2,000

The Correct Answer
Explanation

The figure below shows the screen of an automobile navigation map. Point A represents the car's starting point, point B represents the driver's intended destination, and point C, the center of the circle, is the car's current position. Currently, point A is 15 miles from point C and 250° clockwise from due north, and point B is 20 miles from point C and 30° clockwise from due north. Which of the following represents the shortest distance (a straight line) between the car's starting point and the driver's desired destination?

(Note: For any ABC in which side a is opposite A, side b is opposite B, and side c is opposite C, the law of cosines applies: c2 = a2

(A) (B) (C) (D) (E)

Correct Answer: B

In quadrilateral PQRS below, sides PS and QR are parallel for what value of x ?

(A)158

(B)132

(C)120

(D)110

(E)70

Correct Answer: D

If (a,-3) is on the graph of the equation x - 4y = 14 in the standard (x,y) coordinate plane, then a =?

(F) (G) -2 (H) 2 (J) 17 (K) 26

Correct Answer: H

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