Amanda, Bruno and Carla collected bottle caps for charity. Amanda collected (4f - 3) bottle caps. Bruno collects twice as many bottle caps as Amanda. Carla collects 3(5 + 2f) bottles. How many bottles did they collect altogether in terms of f .

Achemist has 200 ml of a 10% sucrose solution. she adds x ml of a 40% sucrose solution. the percent concentration, y, of the final mixture is given by the rational function: the chemist needs the concentration of the final mixture to be 30%. how many milliliters of the 40% solution should she add to the 10% solution to get this concentration?

Reflect the point (7,0) across the y-axis

John used linear combination to solve the system of equations shown. he did so by multiplying the first equation by -3 and the second equation by another number to eliminate the x-terms. what number did jonas multiply the second equation by? 4x-6y=23x+5y=11