jean and mark are going to fill a pool with 2 different sized hoses. jean can fill the pool in 8 hours, while mark can complete it in 12 hours. their supervisor thinks that the job will take 10 hours to complete if they work together.
explain each step in solving this equation, and determine if the supervisor is correct or not.

Rectangle leg this 11feet and perimeter of 38feet what is the width of the rectangle in feet

Astudent draws two parabolas on graph paper. both parabolas cross the x-axis at (-4, 0) and (6,0). the y-intercept of thefirst parabola is (0, –12). the y-intercept of the second parabola is (0-24). what is the positive difference between the avalues for the two functions that describe the parabolas? write your answer as a decimal rounded to the nearest tenth.

Damon makes 20 cups of lemonade by mixing lemon juice and water. the ratio of lemon juice to water is shown in the tape diagram. lemon juice\text{lemon juice} lemon juice water\text{water} water how much lemon juice did damon use in the lemonade? cups