Adrian is a songwriter who collects royalties on his songs whenever they are played in a commercial or a movie. Adrian will earn $40 every time one of his songs is played in a commercial and he will earn $130 every time one of his songs is played in a movie. Adrian earned a total of $1010 in royalties on 14 commercials and movies. Write a system of equations that could be used to determine the number of commercials and the number of movies on which Adrian's songs were played. Define the variables that you use to write the system.

If qrs tuv, which congruences are true by cpctc? check all that apply. a. q u b. rs tu c. qs tv d. qr tu e. s v f. r u

An alien has just landed from the planet, iksnimak. he would like to leam how to add two fractions when thedenominators are the same. write a paragraph that explains to our alien friend, in your own words, the detailsabout how to add the fractions, how to change the result to a mixed number, and how to reduce the fractionpart. use this problem as your example: the two fractions are 5/8 & 7/8

The position of a moving particle is given by the position function: f(t)=-9t-t^2-0.2t^3+0.1t^4 a. at what time does the particle reverse direction? b. when is the displacement positive? (round one decimal place and answer in interval notation) c. when is the displacement negative? (round one decimal place and answer in interval notation) d. when is the particle’s acceleration positive? (round one decimal place and answer in interval notation) e. when is the particle’s acceleration negative? (round one decimal place and answer in interval notation)