Nancy has just purchased a new house that is in need of new flooring. Use the measurements given on the floor plans to the right to answer the following question. The cost of ceramic tile is $11.99 per square foot. This price includes the cost of installation. Determine the cost for Nancy to have ceramic tile installed in the kitchen and in both bathrooms. The cost for installing ceramic tile in the kitchen and in both bathrooms is $ ___

Q: Prove that if a = b (mod m) and if c = d (mod m), then ac = bd (mod m).

A: a≡b   (mod m)⇒ m|(a−b)That is there exist an integer k such that a−b=mk

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Q: Prove x = cos x for some x € (0, π/2).

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A: Given  a, b and m are positive integers.  (a, m) = (b, m) = 1.We have to prove that (ab, m) = 1.

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