Shane set a goal to ride his bike 56 miles this week. he plans to ride 1/2 as many miles on monday as he will on tuesday. on wednesday, he will ride twice as many miles as he will on tuesday. on thursday he plans to ride the remaining 7 miles. how many miles will he be riding each day?

Prove that the sum of two consecutive exponents of the number 5 is divisible by 30.if two consecutive exponents are 5n and 5n + 1, then their sum can be written as 30.

The hawaiian alphabet has 12 letters. how many permutations are posible for each number of letters?

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.