Prove the followingg statement: let a, b, c, m, n e z, where m 2 2 and n 2 2. if a b (mod m) and a c (mod n), then b c (mod d), where d = gcd(m, n). proof: for some n e z for some x e z. since a c (mod n), it follows that b (mod m), it follows that since a hence b-c= and since d gcd(m, n), it follows that for some e z and for some e z. therefore, b - c = | thus and so b c (mod d). since rx- sy e z, q. e.d

Girardo is using the model below to solve the equation . girardo uses the following steps: step 1 add 4 negative x-tiles to both sides step 2 add 1 negative unit tile to both sides step 3 the solution is which step could be adjusted so that gerardo's final step results in a positive x-value? in step 1, he should have added 4 positive x-tiles to both sides. in step 1, he should have added 3 negative x-tiles to both sides. in step 2, he should have added 4 negative unit tiles to both sides. in step 2, he should have added 1 positive unit tile to both sides.

Apatient is to be given 35 milligrams of demerol every 4 hours. you have demerol 50 milligrams/milliliter in stock. how many milliliters should be given per dose?

Adolphin is swimming with her friend. the dolphin jumps to a height of 4.54.54, point, 5 meters above the surface of the water as her friend swims 9.89.89, point, 8 meters directly below her. what is the position of the dolphin's friend relative to the surface of the water? meters