Let x be a positive integer, and define the integers n=x^2+2x+17 and d=2x+5. When dividing n by d, the quotient is x, and the remainder is 7. Find x. Please don't answer unless you have the correct answer.

Miguel bought a movie ticket that cost $5. he also bought popcorn and a bottle of water. how much did miguel spend altogether?

If the speed of an electromagnetic wave is 100,000 cm/s and its wavelength is 100 cm, what is its frequency? a) 100,000 cycles per second (hz) b) 1 × 10-3 cycles per second (hz) c) 10,000,000 cycles per second (hz) d) 1,000 cycles per second (hz)

If the ratio of sum of the first m and n terms of an ap is m2 : n2 , show that the ratio of its mth and nth terms is (2m − 1) : (2n − 1).