A 96-inch piece of wire is cut into pieces, and then the pieces are to be glued together to form the edges of a box. What is the largest possible volume of a box that could have those pieces for edges?
What is the probability that a positive three-digit integer that has a 3 in the units place is divisible by 3? Express your answer as a common fraction.
In the addition problem shown, A, B, C and D represent distinct digits.
ABC + DBBB = 2011.
What is the value of A + B + C + D?
Kevin can mow a lawn in 40 minutes. When Josh helps him, they can finish the lawn in 15 minutes. How long would it take Josh to mow the lawn by himself?
What is the product of the roots of \(64x+16x^2-4x^3-x^4=0\)?
A trapezoid with vertices at (–1, 2), (1, 2), (3, –2) and (–3, –2) is graphed in the coordinate plane. What is the area of the region of the trapezoid where x ≥ 0 ?
If the seven letters of ALABAMA are to be arranged at random, what is the probability that all four As will be together? Express your answer as a common fraction.
The students at Valley Middle School held a Walka-Thon to raise money for a local charity. The bar graph shows how much money was collected by each grade. If the data had been graphed in a pie chart instead, how many degrees would be in the central angle of the sector representing grade 7?
Think of the set of positive two-digit integers having two different digits that are selected from the digits 2, 3, 4 and 7. In this set, what is the ratio of prime numbers to composite numbers? Express your answer as a common fraction.
The point P(1, 4) is reflected over the line y = x to point P’. What is the distance between P and P’? Express your answer in simplest radical form.
A cube has a side length of 50 inches. What is the positive difference between the numerical values of the surface area of the cube in square inches and the volume of the cube in cubic inches?
Tricia has a bag of marbles. She gave one-third of them to Barbara and one-fourth of the remaining marbles to Sam. If there are now 24 marbles in the bag, how many marbles did Tricia give to Barbara?
Five thousand runners will participate in the Mountain Marathon. Each runner will randomly be given a different number from 1 to 5000 to wear during the race. What is the probability that the number of the second-place finisher will be both greater than the number of the third-place finisher and less than the number of the first-place finisher? (Assume no ties.) Express your answer as a common fraction.
A certain object has a volume of 216 cubic centimeters and a surface area of 240 square centimeters. Another object is a smaller-scale replica of the original object. If the surface area of the smaller object is 60 square centimeters, what is its volume?
What is the length, in inches, of a rectangle that has an area of 18.75 sq in and a length that happens to be 3/8 of the perimeter? Express your answer as a decimal to the nearest tenth.
Jason was describing a spinner to his friend. He said the spinner was divided into six equal sections, each containing an integer that was not necessarily distinct from the other integers on the spinner. He told his friend that on the spinner the probability of landing on 2 is 1/6 , the probability of landing on 6 is 1/6 , the probability of landing on a factor of 27 is 2/3, and the sum of the odd numbers on the spinner is 16. What is the product of the six numbers on the spinner?
In 1973, a gallon of gasoline sold for 40 cents. In 2008, a gallon of gasoline sold for $3.75. By what percent did the cost per gallon of gasoline increase? Express your answer to the nearest tenth.
What is the smallest counting number n such that the product 245n is a perfect square?
There are some problems in this page. FC Liên Quân Garena (Copy answers and self-tick) and Trần Quỳnh Anh (Self-tick) has interrupted this page by many faults. I hope Summer Clouds has a solution for this. Thank you.
Given 1989 consecutive numbers from 1 to 1989. Put a "+" or "-" before each number than plus those number we get A. Find the smallest possible positive integer that A can get.