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The cost to rent a motorbike from a rental shop is x dollars per hour for the first 3 hours and y dollars for each hour thereafter. Which of the following represents the total cost, in dollars, of renting a motorbike from this shop for an 8-hour period?
8x+24=56

Quantity A

2x+6

Quantity B

15


0 < a < b < c < 1

x=$$\frac{\frac{a}{c}}{\frac{1}{b}}$$ and y=$$\frac{\frac{c}{b}}{a}$$

Quantity A

x

Quantity B

y


r > 0

Quantity A

The area of a circular region with radius $$r$$

Quantity B

The area of a circular region with radius $$r^{2}$$


x is a positive integer.

Quantity A

$$5^{-x}$$

Quantity B

1


The retail price of each item in a certain store consists of the cost of the item, a profit that is 10 percent of the cost, and an overhead that is 30 percent of the cost. If an item in the store has a retail price of $21, what is the cost of the item?
A storage facility rents units of two sizes, small and large. Each small unit has a capacity of 800 cubic feet and a monthly rental fee of $95. Each large unit has a capacity of 2,000 cubic feet and a monthly rental fee of $200. The total of the capacities of all the units is 98,400 cubic feet. For a month in which all the units are rented, the total of the monthly rental fees for all the units is $10,560. What is the total number of units that the storage facility has?
The electric power P in a resistor is directly proportional to the square of the electric current I flowing through the resistor. For a given resistor, if the power is 18 watts when the current is 3 amperes, what is the power, in watts, when the current is 4 amperes?
The operation ⭕️ is defined by x ⭕️ y=$$\frac{1}{x}$$+$$\frac{1}{y}$$ for all positive numbers x and y. Which of the following statements must be true for all positive numbers m and r?

Indicate all such statements.
In the xy-plane, the point (3p, 5p-1) lies on the line with equation y=-$$\frac{1}{2}$$x-$$\frac{5}{3}$$. What is the value of p?

Give your answer as a fraction.
In the xy-plane, line m passes through the point (7, 7) and is perpendicular to the line x+y=4. The point (a, b) is on line m and is halfway between the point (7, 7) and the line x+y=4. What is the value of a+b?
In the xy-plane, S is the set of all points (c, d) for which c and d are both integers.

Quantity A

The number of points in S that are a distance of 2 units from the point (7, 5)

Quantity B

4




$$l_{1}$$ is parallel to $$l_{2}$$

Quantity A

x

Quantity B

y


A hexagon with sides of equal length and interior angles of equal measure is inscribed in a circle. If the perimeter of the hexagon is 12, what is the perimeter of an equilateral triangle inscribed in the same circle?


The figure above shows the interior of a propane tank in the shape of a right circular cylinder with a hemisphere at each end. The diameter of the cylinder is 60 centimeters, and the total length of the interior of the tank is 210 centimeters. The tank is filled with propane to 80 percent of its capacity. If the cost of the propane is $0.60 per liter, approximately what is the cost of the propane in the tank?

(Note: 1 liter=1,000 cubic centimeters. The volume of a sphere of radius r is $$\frac{4}{3}πr^{3}$$.)


AD=4(DC)

Quantity A

The ratio of the area of triangle ABD to the area of the triangle ABC

Quantity B

$$\frac{3}{4}$$


x is an odd integer, and y is a multiple of x. Which of the following must be an even integer?
The circumference of circle C is equal to the perimeter of square S.

Quantity A

The ratio of the area enclosed by C to the area enclosed by S

Quantity B

1


Points A, B, and C are on a circle, and line segment AC is a diameter of the circle. If the radius of the circle is 6, by how much does the length of arc ABC exceed the length of diameter AC?

Give your answer to the nearest integer.
An engineer draws two concentric circles on a blueprint. If the diameter of the outer circle is 6 centimeter greater than the diameter of the inner circle, how much greater, in centimeters, is the circumference of the outer circle than the circumference of the inner circle?

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