Laura found 12 shells on a trip to the beach. these shells represent 1/4 of the shells in her whole collection. how many shells does laura have in her whole collection?

Abox contains 1 plain pencil and 4 pens. a second box contains 5 color pencils and 5 crayons. one item from each box is chosen at random. what is the probability that a plain pencil from the first box and a color pencil from the second box are selected? write your answer as a fraction in simplest form.

Segment xy is dilated through point m with a scale factor of 2. which segment shows the correct result of the dilation

Use mathematical induction to prove the statement is true for all positive integers n, or show why it is false. 1^2 + 4^2 + 7^2 + + (3n - 2)^2 = [n(6n^2-3n-1)/2]