How many positive integers less than 1000 are multiples of 3, 5 or 7? Explain your answer using the Principle of Inclusion/Exclusion.

For what values of x is x2 + 2x = 24 true?

F(n + 1) = f(n) – 8. if f(1) = 100, what is f(6)?

Ametal rod needs to be 9 feet and 5.5 inches in length. the sections of the poles being used are each 1 foot and 10.5 inches long. how many 1ft 10.5in sections would be needed to complete the 9ft 5.5in metal rod? and how many inches of material will be left?