How many different pairs of numbers have a difference of 12

Don't k now how to set up this problem. tanya is half the age of nick plus 6 years; their combined ages equal 48. how old is nick and tanya. somehow i can't get this to work

Use a geometric formula to solve the problem. A triangle has a height of 8 feet and an area of 48 square feet. Find the base.

Solve for x. x - 2 (2 - 3/2 x) = 2 (4 - x) + 10

If a+5=b, then what is the value of (b-a) ^4?

A geometric sequence is 3/4,9,108,1296,15,552,186,624 ... which is the general term of the sequence?

Find the roots of the function. ƒ (x) = x^2 + 81 x = - 81i, 81i x = - 81, 81 x = - 9, 9 x = - 9i, 9i

The moon is 2.4 X 10^5 miles from Earth. Assume the speed of the fastest spacecraft is 3.6 X 10^4 miles per hour.

An eight character password uses four digits 1-6 and four letters A-Z with repeats allowed. How many possible passwords like this can be made?

Mike's grandmother opened a savings account in Mike's name and deposited some money into the account. The account pays an annual simple interest rate of 6%. After 9 years, the interest earned on the account was $3,780.

Given that y varies directly with x and y = 42 when x = 14, find y when x = 90.