Iyore and Tigir were carrying honey pots for their friend Winny’s birthday. Lazy Iyore complained that his load is much too heavy. Smart and energetic Tigir jumps around with his pots. Iyore teases Tigir that if he gives one of his pots to Tigir, Tigir would have twice the load he is carrying. Tigir hops around a bit and figures out that if he gave one of his pots to Iyore, they will both be carrying an even amount. What is the minimum number of honey pots, Tigir is carrying for his friend Winny?

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.

Δabc is dilated by a scale factor of 3 with the origin as the center of dilation to form δa′b′c′. the slope of is -1.2. the length of is p units, the length of is q units, and the length of is r units. the slope of is . the length of is units.

Bernice paid $162 in interest on a loan of $1800 borrowed at 6%. how long did it take her to pay the loan off?