Acyclist rides at an average speed of 31 miles per hour. the cyclist’s speed, s, can differ from the average by as much as 8 miles per hour. the absolute value inequality mc007-1.jpg represents this situation. if the compound inequality mc007-2.jpg and mc007-3.jpg also represents this situation, what is the value of x in the compound inequality?

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?

Lance lived in portugal and brazil for a total of 14 months to learn portuguese. he learned an average of 130 new words per month when he lived in portugal, and an average of 150 new words per month when he lived in brazil. in total he learned 1920 new words. write a system of equations to represent the situation. use x to represent portugal, and y to represent brazil

Which strategy is used by public health to reduce the incidence of food poisoning?