mathemagiacian

Four cubes of volumes 1cm^3, 8cm^3, 27cm^3, and 125cm^3 are glued together at their faces. What is the number of square centimeters in the smallest possible surface area of the resulting solid figure? I want a clear explanation with the answer. :):) thank...

ABCD is a parallelogram where AO and BO bisect angles A and angle B respectively. What is the measure of ∠AOB? What's the answer? Thanks!!!! :)

Let S be a subset of {1, 2, 3,... 100}, containing 50 elements. How many such sets have the property that every two numbers in S have a common divisor that is greater than 1? I really need help. Give me a good explanation with he answer. Thanks!!! :)

A four by four grid of unit squares contains squares of various sizes (1 by 1 through 4 by 4), each of which are formed entirely from squares in the grid. In each of the 16 unit squares, write the number of squares that contain it. For instance, the middl...

Suppose 81^x = 64. What is 27^{x+1}? Give me a clear explanation with the answer. Thanks! :)

Starting from the point (0,0), a grasshopper makes a series of leaps on the coordinate plane. The grasshopper's first leap takes her to (3,4). After a move which adds (x,y) to the grasshopper's coordinates, her next move adds either (x,y-1) or (x-1,y) to...

The 23rd term in a certain geometric sequence is 16 and the 28th term in the sequence is 24. What is the 43rd term?

Find the sum of all positive integers less than 1000 ending in 3 or 7.

That is not right.