A tank can fill by the taps in 8 hours and can be emptied by the other taps in 10 hours. How long will it take to fill the tank if both the taps are opened together?​

Movie $5.50 soda $1.75 popcorn $2.25 candy bar $1.10 jeffrey left home with $20 in his wallet. he had a quick lunch that cost $8.47 and went to the movie theater. which of these activities can jeffrey do? a) go to movie and take two friends b) go to movie and have a soda, a popcorn and a candy bar c) go to movie, take a friend, and have a popcorn to share d) go to a movie, have 2 popcorns, 2 sodas, and 2 candy bars eliminate

The accompanying table shows the numbers of male and female students in a particular country who received bachelor's degrees in business in a recent year. complete parts (a) and (b) below. business degrees nonbusiness degrees total male 189131 634650 823781 female 169539 885329 1054868 total 358670 1519979 1878649 (a) find the probability that a randomly selected student is male, given that the student received a business degree. the probability that a randomly selected student is male, given that the student received a business degree, is nothing. (round to three decimal places as needed.) (b) find the probability that a randomly selected student received a business degree, given that the student is female. the probability that a randomly selected student received a business degree, given that the student is female, is nothing. (round to three decimal places as needed.)

Thales was an ancient philosopher familiar with similar triangles. one story about him says that he found the height of a pyramid by measuring its shadow and his own shadow at the same time. if the person is 5-ft tall, what is the height of the pyramid in the drawing?