There are many people in the party, in the party has 4 tables, each tables have 3 plates, each plates has 9 pancakes. How many people in the party?

Let the triangle ABC have the area S . The points D , E , F are in the order of AB , BC , CA such that AD = DB , BE = 1 part 2 EC , CF = 1 part 2 FA . Straight segments AE , BF , CD intersect to form a triangle . Calculate the area of the triangl e.

Given a fixed triangle ABC of height h . Find the set of points M with the sum of the distances to 3 of the triangle by the constant m ( m > h ) .

The net of a square pyramid, shown here, is a square with an equilateral triangle on each of its sides. The side length of the square can be expressed as 6x – 6 or 2x + 14, for the same value of x. When the net is folded to form a square pyramid, its surface area can be expressed in simplest radical form as a\(^2\)( b + c). What is the value of  + b + c?

The product of the 3-digit number ABC and its reverse, CBA, is 140,209. If A, B and C each represent a different digit, what is the value of A + B + C? 

Suppose f(x) is a polynomial of x.If f(x) has a remainder of 3 when it is divided by 2(x-1) and 2f(x) has a remainder of -4 when it is divided by 3(x+2).Thus when 3f(x) í divided by 4(\(x^2\) +x-2),the remainder is ax+b,where a and b are constants.Then a+b=...............

Find m,n are positive integer satisfy 

A box contains 15 slips of paper, each bearing a different natural number from 1 to 15, inclusive. If three of these slips are randomly drawn, one at a time, without replacement, what is the probability that three consecutive numbers are drawn in increasing order? Express your answer as a common fraction

Ali gives Stan a closed box that contains at least one of each token worth 5, 11 or 19 points. Ali says that the tokens have a combined value of 56 points. How many tokens are in the box?

The mean, the median and the mean of all modes of the integers 7, 4, 5, 6, 5, x are equal. How many possible values are there for x?