Ruth purchased 5 feet of ribbon from the craft store. She used 2 3/4 feet of ribbon when wrapping gifts for her friend. Then, she used 1/2 of a foot of ribbon to make a bookmark. How much ribbon does Ruth have left after wrapping gifts and making a bookmark?

Raj encoded a secret phrase using matrix multiplication. using a = 1, b = 2, c = 3, and so on, he multiplied the clear text code for each letter by the matrix to get a matrix that represents the encoded text. the matrix representing the encoded text is . what is the secret phrase? determine the location of spaces after you decode the text. yummy is the corn the tomato is red the corn is yummy red is the tomato