Let n be a natural number such that n + 1, n + 3, n + 7, and n + 9 are prime numbers. Additionally, the numbers n + 31, n + 33, n + 37 and n + 39 are also prime numbers. Determine the remainder after dividing n by 210.

What is the length of the segment joining the points at (4,5) and (6,-2) round to the nearest tenth if necessary

Jessica and martha each have a bag of cookies with unequal quantities. they have 30 cookies total between the two of them. each of them ate 6 cookies from their bag. the product of the number of cookies left in each bag is not more than 80. how many more cookies will jessica have martha? if x represents the number of cookies jessica started with, complete the statements below.the inequality that describes the relationship between the number of cookies each one of them has is x^2 - x +224 > = 0.jessica has at least cookies more than martha.

Which rectangle if translated 6 units right and 16 units down and the rotated 90° clockwise about the point (4, -11) will result in rectangle e?