A company produces machine parts. The inequality below shows all acceptable lengths, L, in centimeters, for the machine part. L−28.5≤0.15

Based on the solutions to the inequality, complete the table below with the values of the minimum and maximum lengths, in centimeters, for the machine part.
Quantity Value
minimum length (cm)
maximum length (cm)

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?

An equation representing lyle’s hedge-trimming business is a = 12n - 300 where a is the amount of profit or loss in dollars and n is the number of hedges trimmed. how would the graph of lyle’s business change if the equation a = 10n - 300 represented his business? the graph would be flatter. the graph would be steeper. the graph would start closer to the origin. the graph would start lower on the y-axis.

How do the definitions, properties, and postulates you've learned about line segments, parallel lines, and angles to define the shapes of polygons