If $x\left(\frac{5n+1}{3}\right)=x$ and $x\ne 0$, then $n=$

The circle with center C shown above is tangent to both axes and has an area of A. What is the distance from O to C, in terms of A?

If $\frac{0.016*{10}^n}{0.4*{10}^m}=4*{10}^4$ , then $m-n=$

When positive integer m is divided by positive integer n, the remainder is 27. If $\frac{m}{n}=75.018$, what is the value of n?

A certain rectangular window is half as long as it is wide. If its area is 20 feet, then its dimensions in feet are

In a certain sequence, the term  is given by the formula for all . If and , what is the value of ?

If the quotient $\frac{}{}$is less than zero, which of the following CANNOT be true?

It can be inferred from the passage that the air temperature of condensation at a time in the past when snow fell

It can be inferred from the passage that the technique of using ice cores to determine historical temperatures would be less advantageous if which of the following were true?

The passage suggests that which of the following is true of a centralized warehouse model?

The primary purpose of the passage is to

In the passage, the author is primarily interested in

If Wise's theory were widely accepted, people would tend to view a new invention as a symbol of

In the passage, the author anticipates which of the following as a possible objection to his argument?

It can be inferred from information presented in the passage that if the mass of a stellar object is less than 3.6 solar masses, which of the following must be true as a consequence?

The table above shows the cancellation fee schedule that a cruise company uses to determine the fee charged to a tourist who cancels a trip prior to departure. If a tourist canceled a trip with a package price of $3,800 and a departure date of August 5, on what day was the trip canceled?

(1) The cancellation fee was $950.

(2) If the trip had been canceled one day later, the cancellation fee would have been $570 more.

The subsets of the set are:

, , , ,

, , ,

and (the empty subset)

How many subsets of the set contain both and ?

There are 8 popsicles in a box, of which 6 are red and 2 are purple. How many possible selections of 3 popsicles from the box contain at least one red popsicle and at least one purple popsicle?

There are 9 keys on a keychain, of which 5 are for exterior locks and 4 are for interior locks. How many possible selections of 5 keys from the keychain contain at least one key for an exterior lock and at least one key for an interior lock?

For how many ordered pairs  that are solutions of the system above are and  both integers?