determine the number of ways of arranging 6 dolls of different sizes in a circle where two certain dolls are always nest to each other​

Nine more than four times a number is the same as one less than twice the number. find the number?

Last year, a state university received 3,560 applications from boys. of those applications, 35 percent were from boys who lived in other states. part a)how many applications did the university receive from boys who lived in other states? part b)applications to the university from boys represented 40percent of all applications. how many applications did the university receive in all? i don't how to do part b so me and plz tell how you got your answer

Can someone me with #s 8, 9, and 11. with just one of the three also works. prove using only trig identities.