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It costs d dollars to buy t thumbtacks. At this rate, what is the cost of t+2,500 thumbtacks, in dollars?
The length of a model car is 8.2 centimeters, and the ratio of the length of the model car to the length of the actual car that it represents is 1 to 64. The length of the actual car is how many meters? (1 centimeter=0.01 meter)

Give your answer to the nearest 0.1 meter.

_____meters
r > s

List L consists of r values, and the average (arithmetic mean) of the values in L is 52.8. List M consists of s values, and the average of the values in M is 54.2. List K consists of the values in L and the values in M.

Quantity A

The average of the values in K

Quantity B

53.5


If $$3^{x}$$+$$3^{x}$$+$$3^{x}$$=$$9^{x-2}$$, what is the value of x?
($$2.82*10^{-51}$$) - ($$3.96*10^{-49}$$)=
3x-2k=7

9x-6k=21

Quantity A

x

Quantity B

k






Which of the following shaded regions represents the set of all points $$(a, b)$$ in the xy-plane above such that $$(a+1, b+1)$$ is in quadrant Ⅰ? (Note that a point lies on axis is not in any quadrant)
Which of the following best represents the graph of the equation y-5x+4=0 in the xy-plane?

In plane P, point Q is on line l.

Quantity A

The number of points in plane P whose distance from line l is 2 and whose distance from point Q is 3

Quantity B

4






Quantity A

y

Quantity B

115




A thin metal plate in the shape of a parallelogram has an area of 80 square inches and is cut into two pieces using two cuts. Each cut is parallel to a side of the plate, as shown, and the ratio of the length of each cut to the length of the side of the plate to which the cut is parallel is 3 to 4. What is the area, in square inches, of the piece of the plate represented by the shaded region?
Two line segments of equal length bisect each other.

Quantity A

The number of circles that pass through at least three of the four endpoints

Quantity B

2




Square ABCD and parallelogram AEFD lie in the same plane, and AB=AE.

Quantity A

The area of region ABCD

Quantity B

The area of region AEFD


In the xy-plane, if three of the vertices of a parallelogram have coordinates (2, -1), (1, 2), and (5, 1), which of the following could be the coordinates of the fourth vertex?

Indicate all such coordinates


ABCD is a square, AEFG is a rectangle, and BE=DG.

Quantity A

The area of square ABCD

Quantity B

The area of rectangle AEFG


A bicycle is traveling at a constant rate such that the wheels rotate 72 degrees per 0.1 second. If each wheel of the bicycle has a diameter of 26 inches, how many inches does the bicycle travel in 2 seconds?


The figure shows square ABCD inscribed in a circle. What is the ratio of arc ABC to the sum of lengths of line segments AB, BD and CD?


A pendulum 36 inches long swings through an angle of x degrees, and its pointed end travels through a distance of 41 inches before swinging back again, as shown in the figure. Which of the following is closest to the value of x?


The figure shows a right circular cone, where A is the center of the circular base. If the measure of angle ACB is 30°and the length of line segment BC is 2, what is the volume of the cone? (The volume of a right circular cone is one-third of the product of the height of the cone and the area of the circular base.)

Give your answer to the nearest whole number.


The table above shows a certain store`s weekly revenue and expenses for five weeks. What is the store`s median weekly profit for the five weeks?

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