Olivia likes to knit hats and mittens for friends and family. Last fall, she knitted 4 hats and 5 pairs of mittens, which took a total of 78 hours. This fall, she knitted 5 hats and 5 pairs of mittens, which took a total of 85 hours. If each hat and each pair of mittens takes the same amount of time to knit, how long does it take Olivia to knit a hat and a pair of mittens?

Polygon mnopq is dilated by a scale factor of 0.8 with the origin as the center of dilation, resulting in the image m′n′o′p′q′. the coordinates of point m are (2, 4), and the coordinates of point n are (3, 5). the slope of is .

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.

Me with this one question, and i'll upvote the brainliest answer