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T is no more than 20 percent greater than the integer x.and T is no smaller than a number 20 percent less than the integer x.If T=60,which of the following indicates the smallest possible interval for x?
If x, y, and z are consecutive integers and x < y < z, which of the following must be true? Indicate all possible choices.
The quadrants of the xy-plane are shown in the figure above. In the xy-plane, line m (not shown) has a positive slope and a positive x-intercept. Line m intersects which of the quadrants? Indicate all such quadrants
Based on the information given, which of the following statements must be true? Indicate all such statements.
Which two of the following numbers have a product that is between −1 and 0 ? Indicate both of the numbers.
If the lengths of two sides of a triangle are 5 and 9, respectively, which of the following could be the length of the third side of the triangle? Indicate all such lengths.
Solution X is 10 percent alcohol by volume, and solution Y is 30 percent alcohol by volume. How many milliliters of solution Y must be added to 200 milliliters of solution X to create a solution that is 25 percent alcohol by volume?
What is the y-intercept of the graph of the equation y=2*|4*x-4|-10?
Whenever Art Dealer sells a sculpture, he earns a 20 percent commission on the first $12,000 of the sale price plus 15 percent of the sale price in excess of $12,000. If Art earned a $3,900 commission on the sale of a certain sculpture, what was the sale price?
Pump A can empty a pool in A minutes, and pump B can empty the same pool in B minutes. Pump A begins emptying the pool for 1 minute before pump B joins. Beginning from the time pump A starts, how many minutes will it take to empty the pool?
A company plans to manufacture two types of hammers, type R and type S. The cost of manufacturing each hammer of type S is $0.05 less than twice the cost of manufacturing each hammer of type R.
Each of the following linear equations defines y as a function of x for all integers x from 1 to 100. For which of the following equations is the standard deviation of the y-values corresponding to all the x-values the greatest?
The greatest of the 21 positive integers in a certain list is 16. The median of the 21 integers is 10. What is the least possible average (arithmetic mean) of the 21 integers?
If 10^x equals 0.1 percent of 10^y , where x and y are integers, which of the following must be true?
Which of the following functions f defined for all numbers x has the property that f (–x) = –f (x) for all numbers x ?
The area of circle W is 16*π and the area of circle Z is 4*π. What is the ratio of the circumference of W to the circumference of Z ?
For each year, the work time, in hours, required to pay for a food item is the average price of the food item divided by the average hourly wage for rank-and-file manufacturing workers. The work time in the graph is given in minutes.If the average hourly wage of the rank-and-file manufacturing worker in 1919 was $0.55, which of the following is closest to the average price of 12 gallon of milk in 1919?
The interior dimensions of a rectangular tank are as follows: length 110 centimeters, width 90 centimeters, and height 270 centimeters. The tank rests on level ground. Based on the assumption that the volume of water increases by 10 percent when it freezes, which of the following is closest to the maximum height, in centimeters, to which the tank can be filled with water so that when the water freezes, the ice would not rise above the top of the tank?
Which of the following is closest to