Aceramics workshop makes wreaths, trees, and sleighs for sale at christmas. a wreath takes 3 hours to prepare, 2 hours to paint, and 9 hours to fire. a tree takes 15 hours to prepare, 3 hours to paint, and 4 hours to fire. a sleigh takes 4 hours to prepare, 17 hours to paint, and 7 hours to fire. if the workshop has 108 hours for preparation time, 80 hours for painting, and 104 hours for firing, how many of each can be made?

Its due ! write an equation in which the quadratic expression 2x^2-2x 12 equals 0. show the expression in factored form and explain what your solutions mean for the equation. show your work.

An empty bucket is placed under a faucet dripping at a constant rate of 4 milliliters per minute. with the given information, which of these statements is a reasonable conclusion? a there will be 24 milliliters of water in the bucket after 16 hour. b there will be 60 milliliters of water in the bucket after 14 hour. c there will be 160 milliliters of water in the bucket after 20 minutes. d there will be 100 milliliters of water in the bucket after 40 minutes.

On a cm grid, point p has coordinates (3,-1) and point q has coordinates (-5,6) calculate the shortest distance between p and q give your answer to 1 decimal place