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Find all solutions of each of the systems of congruences:-
(a) x is congruent to 1 (mod 2) (d) 4x is congruent to 2 (mod 6)x is congruent to 2 (mod 3) 3x is congruent to 5 (mod 7)x is congruent to 3 (mod 5) 2x is congruent to 4 (mod 11)
(b) x is congruent to 1 ( mod 3) (e) x is congruent to 1 (mod 3)x is congruent to 3 ( mod 5 ) x is congruent to 2 (mod 4)x is congruent to 5 ( mod 7) x is congruent to 3 ( mod 7)x is congruent to 4 (mod 11)
(c) 3x is congruent to 1(mod 5) (f ) 2x is congruent to 1 (mod 5)
4x is congruent to 6 (mod 14) 3x is congruent to 9 (mod 6)5x is congruent to 11 ( mod 3) 4x is congruent to 1 (mod 7)5x is congruent to 9 (mod 11)
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Assume you have a lemonade stand, & when you charge $1 per cup of lemonade you sell 50 cups. But when you raise your price to $2 you only sell 25 cups. Make an equation for the number of cups you sell as a function of the price you charge. Denote "C"..
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