Write what the expressions below best represent within the context of the word problem How many quarts of water must be added to 4 quarts of an 80% mixture to obtain a 50% mixture? x represents quarts of water to be added to the % mixture. x + 4 represents the total quarts of the mixture at %.

Small kingdoms on the iberian peninsula fought to take land back from the moors during which event? the hundred years’ war the wars of the roses the reconquista the great schism

Is δ pmr similar to δ smn ? if so, which postulate or theorem proves these two triangles are similar?

Browning labs is testing a new growth inhibitor for a certain type of bacteria. the bacteria naturally grows exponentially each hour at a rate of 6.2%. the researchers know that the inhibitor will make the growth rate of the bacteria less than or equal to its natural growth rate. the sample currently contains 100 bacteria.the container holding the sample can hold only 300 bacteria, after which the sample will no longer grow. however, the researchers are increasing the size of the container at a constant rate allowing the container to hold 100 more bacteria each hour. they would like to determine the possible number of bacteria in the container over time.create a system of inequalities to model the situation above, and use it to determine how many of the solutions are viable.