Find the number of ordered pairs $ (a, b) $ of integers such that

/[/frac{a + 2}{a + 5} = / frac{b}{3}./]

What is the value of the is V divided by eight equals two

A thief steals an ATM card and must randomly guess the correct 6 digit PIN code from a 4 key keypad. repetition of digits is allowed what is the probability of a correct guess on the first try? the number of possible codes is what?

What is the value of the expression 3972 : 12

Reduce the fraction 36/48 to its lowest terms. A. 1 1/4B. 1 12/48C. 6/8D. 3/4

Write two fractions where the LCD is 20, but the product of the denominators is not 20.

If you add a constraint to an optimization model, and the previously optimal solution satisfies the new constraint, will this solution still be optimal with the new constraint added?

These are the first six terms of a sequence with a1= - 3: - 3, 8, 19, 30, 41, 52, ... Find a recursive formula for this sequence that is valid for n>1. Write your answer in simplest form.

180 people filled out a survey about their favorite color. 95 of the respondents were female. 21 males responded that their favorite color is red.

Kristin's three-year old sister is trying to arrange pink and red Starbursts in rows. She has 360 pink Starbursts and 150 red Starbursts.

A plane is flying at 31,348 feet. It needs to rise to 37,000 feet in two stages. In stage 1, it rises 5% of its initial altitude of 31,348 feet. In stage 2, it rises at a rate of 140.3 feet per minute.