There is a four digit positive integer, which is greater than 10. When it is subtracted by 1, it can be divisible by 9;
When it is subtracted by 2, it can be divisible by 8;
When it is subtracted by 3, it can be divisible by 7;
When it is subtracted by 8, it can be divisible by 2;
When it is subtracted by 9, it can be divisible by 1.

The length of a rectangular piece of land is 92 yards more than three times its width. the perimeter is 760 yards. find its dimensions.

Evaluate the discriminant of each equation. tell how many solutions each equation has and whether the solutions are real or imaginary. x^2 + 4x + 5 = 0

Christine wong has asked dave and mike to her move into a new apartment on sunday morning. she has asked them both, in case one of them does not show up. from past experience, christine knows that there is a 40% chance that dave will not show up and a 30% chance that mik a. what is the probability that both dave and mike will show up? (round your answer to 2 decimal places.) b. what is the probability that at least one of them will show up? c. what is the probability that neither dave nor mike will show up? (round your answer to 2 decimal places.)e will not show up. dave and mike do not know each other and their decisions can be assumed to be independent.