A train from Washington, D. C. to Chicago stops first in Pittsburgh and then in Cleveland. The distance from Washington, D. C. to Pittsburgh is 30 miles less than twice the distance from Pittsburgh to Cleveland. The distance from Cleveland to Chicago is 220 miles more than the distance between Pittsburgh and Cleveland. If the entire train ride is 710 miles, how far is the train ride from Cleveland to Chicago?

If you measured the width of a window in inches and then in feet with measurement would you have the greater number of units

You are looking for your first credit card. you plan to use this credit card only for emergencies and to pay the credit card balance in full each month. which credit card feature is most important? a. no annual fee b. low apr c. generous rewards program d. no balance transfer fee select the best answer from the choices provided

Suppose we have a set of small wooden blocks showing the 26 letters of the english alphabet, one letter per block. (think of scrabble tiles.) our set includes 10 copies of each letter. we place them into a bag and draw out one block at a time. (a) if we line up the letters on a rack as we draw them, how different ways coukl we fill a rack of 5 letters? (b) now suppose we just toss our chosen blocks into a pile, and whenever we draw a letter we already have, we put it back in the bag and draw again. how many different piles of 5 blocks could result? possible? piles will contain at least one repeated letter? (c) if we draw out 5 blocks wit hout looking at them, how many different piles are (d) if we draw out 5 blocks without looking at them, how many of the possible 2. (4) consider the following formula. 12 give two different proofs, one using the factorial formulas and the other combina torial.