Translate the following sentence into an equation. use x to represent an unknown number. do not solve.
the sum of twice a number and 19 is equal to five times the number.
write an equation for the given conditions

Which undefined geometric term is described as a location on a coordinate plane that is designed by an ordered pair (x, y) ?

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.

Solve each quadratic equation by factoring and using the zero product property. x^2 - 8x + 30 = 3x