Bryan reads for x minutes. kelly reads for one-fourth the amount of time bryan reads. which statement explains why 14x14x and 0.25x can each find the number of minutes kelly reads? dividing by four is the same as multiplying by 25%. the expressions are not equivalent. multiplying by 4 is the same as multiplying by 25%. the fraction 1414 is equivalent to the decimal 0.75. therefore, 14x14x can be rewritten as 0.75x.

Complete the solution of the equation. find the value of y when x equals -5. -4x - 8y = -52

Problems and applications q5 four roommates are planning to spend the weekend in their dorm room watching old movies, and they are debating how many to watch. here is their willingness to pay for each film: willingness to pay (dollars) shen antonio dmitri jake first film 10 9 8 3 second film 8 7 6 2 third film 6 5 4 1 fourth film 4 3 2 0 fifth film 2 1 0 0 within the dorm room, the showing of a movie a public good. if it costs $12 to rent a movie, the roommates should rent movies in order to maximize the total surplus. suppose the roommates choose to rent the optimal number of movies you just indicated and then split the cost of renting equally. this means that each roommate will pay $ .

Two trains leave a station on different tracks. the tracks make an angle of 130°, with the station as a vertex. the first train travels 100 km and makes its first stop at point a, while the second train travels 200 km and makes it first stop at point b. how far apart are the trains when both are at their first stop? round the answer to the nearest integer. a) 65 km b) 139 km c) 224 km d) 275 km