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题目内容
$$c\times10^k + d\times10^{(k+1)}=$$


The figure shows the width, length, and height of a rectangular solid. Which of the following statements must be true?
Indicate all such statements.
Helen plays a game at an amusement park in which each player can win prizes valued at $$$1$$, $$$5$$ or $$$10$$. If she plays the game 3 times and wins a prize at least twice, which of the following could be the total value of the prizes won?
Indicate all such values.
A car traveled at an average speed of $$45$$ miles per hour for $$1$$ hour, at an average speed of $$60$$ miles per hour for the next $$\frac{1}{2}$$ hour, and then at an average speed of $$50$$ miles per hour for another $$\frac{1}{2}$$ hour. What was the car's average speed, in miles per hour, for the $$2$$ hours?
If $$a=\frac{b}{6}$$ and $$a =2-c$$, then in terms of $$a$$, what is the value of $$b+c$$ ?


In the rectangular coordinate system above, if $$(6, 5)$$ is the midpoint of $$OP$$, what is the area of triangular region $$OPQ$$?
The positive number $$y$$ has the property that $$y$$ percent of $$y$$ is $$169$$. What is the value of $$y$$?
$$m$$ and $$n$$ are integers.
$$(135)(75)=(3^m)(5^n)$$

Quantity A

$$m$$

Quantity B

$$n$$
$$A$$ and $$W$$ are two vertices of a regular polygon with $$n$$ sides, where $$n \gt 10$$.

Quantity A

The number of triangles with vertices $$A$$, $$W$$, and one other vertex of the polygon

Quantity B

$$n-1$$
Which of the following implies that $$x$$ must be less than $$2$$ ?
If $$x \gt 0, y \gt 0$$, and $$z \lt 0$$, which of the following numbers must be negative?
Indicate ALL such numbers.
$$x \leq 50$$
$$y \leq 4$$

Quantity A

$$xy$$

Quantity B

$$300$$
In a certain trivia game, each contestant answers $$20$$ questions and earns or loses points as follows. The contestant earns $$10$$ points for each correct answer and loses $$2$$ points for each incorrect answer. If the contestant begins the game with $$0$$ points, which of the following CANNOT be the total number of points that the contestant has after answering the $$20$$ questions?
How many ordered paris $$(x, y)$$, where both $$x$$ and $$y$$ are integers, are solutions of the equation $$x^2+y^2=5$$?
Bucket $$Q$$ currently contains $$5$$ times as much water as bucket $$R$$ contains. If $$10$$ liters of water will be transferred from $$Q$$ to $$R$$, then $$Q$$ will contain $$2$$ times as much water as $$R$$ will contain. How many liters of water does $$Q$$ currently contain?
List $$C$$: $$\frac{1}{2}, \frac{1}{4}, \frac{1}{8}$$
List $$D$$: $$(\frac{1}{2})^2, (\frac{1}{4})^2, (\frac{1}{8})^2$$
The range of the numbers in list $$C$$ is $$r$$, and the range of the numbers in list $$D$$ is $$t$$. If $$r = kt$$, what is the value of $$k$$?
if $$\frac{x+2}{x-3} = \frac{x+1}{x}$$, where $$x \neq 0$$ and $$x \neq 3$$, what is the value of $$x$$?
Give your answer as a fraction


The perimeter of equilateral pentagon $$ABCDE$$ is twice the perimeter of equilateral triangle $$RST$$.

Quantity A

The length of one side of pentagon $$ABCDE$$

Quantity B

The length of one side of triangle $$RST$$
$$xy \lt 0$$
$$yz \lt 0$$

Quantity A

$$xz$$

Quantity B

$$0$$
A speed of $$m$$ miles per hour $$(m \gt 0)$$ is equivalent to a speed of $$f$$ feet per second. ($$1$$ mile = $$5,280$$ feet)

Quantity A

$$m$$

Quantity B

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

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