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?

Aswimming pool has an input pump for filling the pool and an output pump for emptying the pool. the input pump can fill the pool in 3 hours, and the output pump can drain the pool in 5 hours. as you go to bed, the pool is full, but a neighbor’s kid turns on the output pump. at midnight, you awake to find the pool half empty. immediately, you turn on the input pump, but you are sleepy and forget to turn off the output pump. at what time will the pool become full?

The swimming pool is open when the high temperature is higher than 20∘c. lainey tried to swim on monday and thursday (which was 3 days later). the pool was open on monday, but it was closed on thursday. the high temperature was 30∘c on monday, but decreased at a constant rate in the next 3 days. write an inequality to determine the rate of temperature decrease in degrees celsius per day, d, from monday to thursday.

Find the value of x for which line a is parallel to line b