You are walking your dog north on the sidewalk of Peach Street. When you reach 14th Street, you cut across the park to the corner of 13th street and Sassafras Street. Explain why taking this route is shorter than continuing to walk to 13th Street and then to Sassafras Street.

Find the x-intercept and y-intercept of the line. 3x + 5y = −15

Martha has a deck of cards. she has lost some of the cards, and now the deck only contains nine spades, eleven diamonds, eight clubs, and twelve hearts. martha predicts that whenever she draws a card from the deck without looking, she will draw a club one-fifth of the time. which activity would best allow martha to test her prediction? a. randomly draw a card from the box and see if it is a club. b. randomly draw a card. then, continue to draw another card until all eight clubs are drawn. c. randomly draw and replace a card 120 times. then, observe how close to 30 times a club is drawn. d. randomly draw and replace a card 100 times. then, observe how close to 20 times a club is drawn.

Find the nonpermissible replacement for binthis expression.b2/5b +5