Different letters represent different digits
Suggest the sum: ABC + DEF + GHI = JJJ. If different letters represent different digits, and there are no leading zeros, what does J represent ?
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The Suji Corporation has a monopoly in a particular chemical market. The industry demand curve is P = 1,000 - 5Q. Marginal cost is 3Q. What is Suji's profit-maximizing output and price? Calculate the corresponding profits.
Prove that if p is a prime such that p = 1 mod 3, r is the primitive root modulo p, and a = r^(p-1)/3, then 1, a, a^2 give solutions to x^3= 1 mod p which are distinct modulo p.
According to the study of 200 samples of ground meats, the probability that one of samples was contaminated by salmonella was .30. The probability that a salmonella-contaminated sample was contaminated by strain resistant to at least one antibioti
An anthropologist discovers an isolated tribe whose written alphabet contains only six letters (call the letters A, B, C, D, E and F). The tribe has a taboo against using the same letter twice in the same word.
Let A be the matrix of numbers. Describe that the minimum number of lines that cover A equals the maximum number of independent non-zero entries of A.
Square ABCD is comprised of one inner square (white) and four colored congruent rectangles. If each and every colored rectangle has a perimeter of 20 units, what is the area of square ABCD?
A standard (6 sided) die is rolled 5 times. How many possible sequences result in at most 2 ones?
Anakin is in fourth grade and has six different classes. His mother told him that she will take him to the pod races if he gets atleast 3 A's on his next report card.
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