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If each interior angle of a regular polygon lies between 100° and 130°, inclusive,then the polygon could be?
Indicate all such integers.
There are 10 red balls and 6 blue balls in a box. If a person takes out two balls one by one without replacement, what is the probability that the two balls have different colors?
Give your answer as a fraction.
k and n are both positive even integers

Quantity A

The remainder when $$k^{2}$$ +n is divided by 2

Quantity B

The remainder when $$k^{n}$$ is divided by 2


What is the units digit of $$2^{2222}$$?
How many integer values of n satisfy the inequality | 3-n | ≤ 4 ?

Quantity A

The number of tenth equals to 1.4

Quantity B

The number of hundredth equals to 1.3


Quantity A

$$\frac{111}{1,111}$$

Quantity B

$$\frac{1,111}{11,111}$$



Quantity A

x+y

Quantity B

$$\sqrt{(x^2+y^2)}$$


0 < a < b < 1

c and d are positive integers such that c < d

Quantity A

$$a^{c-d}$$

Quantity B

$$b^{d-c}$$


n=1234567891011.........499500

The digits of the integer m above are the digits of the integers from 1 to 500 written in consecutive order. How many digits does n have?
x and y are prime numbers

x+y is odd

x < y

Quantity A

x

Quantity B

3


Quantity A

The number of different prime factors of 12

Quantity B

The number of different prime factors of 9


x ≠ -1 and x ≠ 0

Quantity A

$$\frac{1}{1+\frac{1}{x}}$$

Quantity B

$$\frac{x}{x+1}$$


If x and y are positive numbers and the ratio of x to y is 5 to 4, which of the following ratios must be equal to 6 to 5?
Machine A and machine B, working simultaneously and independently at their respective constant rates, processed $$\frac{3}{4}$$ of the shipment of a certain product in 4.5 hours. Then machine A, working alone at its constant rate, processed the rest of the shipment in 6 hours. How many hours would it have taken machine B, working alone at its constant rate, to process the entire shipment of the product?

_____hours
On a trip, Marie drove the first half of the distance at an average speed of 30 miles per hour for a total of 13 hours of driving, and Juanita will drive the second half of the trip. They scheduled t hours driving for the entire distance. If they are to arrive exactly on schedule, at what average speed must Juanita drive the second half of the distance?


In the figure above. O is the center of the circle. If minor arc AB has length 2π, what is the area of triangular region AOB?
What is the range of all the weekly rental rates in the table?
A group of 10 couples plans to rent bayside summer houses on Island X from Realtor M for a certain week. The total rental cost for the houses will be evenly distributed among the 10 couples, and each couple will have their own bedroom. If Realtor M has at least three bayside summer houses of each type available that week, what is the least possible rental cost per couple?
If Realtor M`s inland summer houses on Island X generate a total weekly rental income of $8,800 when they are all rented, what is the greatest possible number of inland 4-bedroom summer houses that Realtor M can have?

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