If $\frac{1}{1+\frac{1}{x}}=2$ , then $x=$

Which of the following equations is NOT equivalent to $8y^2=\left(x+3\right)\left(x-3\right)$?

The sum of the prime numbers that are greater than 50 but less than 60 is

What is the 30th digit to the right of the decimal point in the decimal form of $\frac{3}{11}$?

What is the difference between the twelfth and eleventh terms of the sequence 0, 0, 1, 4, 11 ... whose th term is ?

In the table above, if no one is assigned to more than one project, what is the number of women assigned to Project 2?

At an archeological ruins site, flat tile fragments are discovered that have a collective surface area of 298 square feet. If the area of each fragment is at least 15 square feet, what is the greatest number of fragments that could be present in the discovery?

The point that bisects the line depicted in the figure above is

Each year for 4 years, an insect species increased its population within a region by a number of individuals equal to half of the population of the preceding year. If there were 16,200 insects of the species in the region at the end of the four-year period, how many insects of the species were in the region at the beginning of the four-year period?

Of 41 reviews of a particular restaurant, 20 cited good service, 7 cited the quality of the desserts, and 20 cited neither good service nor the quality of the desserts. How many of the reviews cited good service and the quality of the desserts?

If , then $$

In the figure above, the coordinates of point A could be which of the following?

The present ratio of apples to oranges within a basket is 10 to 1. If 18 apples and 3 oranges were added, the ratio of apples to oranges would be 7 to 1. How many apples are in the basket?

In the rectangular coordinate system above, A is at the origin, B has coordinates (1, 0), and line L is a line parallel to AB that passes through (0, 5). If a point C along line L is chosen to form a triangle with the segment AB, what is the area of triangle ABC?

Working simultaneously at their respective constant rates, Machines  and  produce 20 widgets in  hours. Working alone at its constant rate, Machine  produces 20 widgets in  hours. In terms of  and , how many hours does it take Machine , working alone at its constant rate, to produce 10 widgets?

If , then

For the positive integers and , represents the number of zeros between the decimal point and the first nonzero digit to the right of the decimal point in the reciprocal of the product of and , when that reciprocal is expressed as a terminating decimal. What is the value of ?

What is the smallest positive integer that is divisible by every odd integer between 1 and 10, inclusive?

If is an integer greater than 6, then all of the following must be divisible by 3 EXCEPT

The passage provides information in support of which of the following assertions?