Maggie makes and sells scented body lotions. she initially spent $108 to purchase supplies, and each kilograms of lotion cost $16 to make. maggie sells the lotion for $25 per kilogram. how many kilograms of lotion will maggie have to sell to break even?

An automated water dispenser fills packets with one liter of water on average, with a standard deviation of 5 milliliter. the manual says that after a year of operation the dispenser should be tested to see if it needs recalibration. a year later a number of filled packets are set aside and measured separately. it is found that the average packet now contains about 0.995 liters. does the dispenser need calibration? explain your answer.

On average, how many more hits will he get when he bats 100 times at home during the day as opposed to 100 times away at night?

1. are the corresponding angles congruent 2. find the ratios of the corresponding sides 3. is triangle jkl congruent to triangle rst? if so what is the scale factor