Pens and Pencils Mrs. Charles ordered 150 pencils and 225 pens for the academy store. The pens cost 15 cents more than the pencils. Mrs. Charles’ total order was $135. Mrs. Charles was quite surprised by this amount as she thought the total would be $120.

If the cost of one pencil and one pen is 69 cents, who do you think is right, the supplier or Mrs. Charles? Support your answer with

mathematical evidence.

What is the cost of each pencil? Each pen? Support your answer with mathematical evidence.

The rectangle shown has a perimeter of 108 cm and the given area. its length is 6 more than five times its width. write and solve a system of equations to find the dimensions of the rectangle.

The letters g e o r g i a are placed in a bag . if you picked a card and knew it was a vowel , what is the probability that it is an a ?

Astandard deck of cards contains 52 cards. one card is selected from the deck. (a) compute the probability of randomly selecting a diamond or heart. (type an integer or a decimal rounded to three decimal places as needed.) (b) compute the probability of randomly selecting a diamond or heart or club. (type an integer or a decimal rounded to three decimal places as needed.) (c) compute the probability of randomly selecting queen or club. (type an integer or a decimal rounded to three decimal places as needed.)