Help please The ratio of blue marbles to red marbles in a bag is 2:3. In the same bag, the ratio of blue marbles to yellow marbles is 1:1. Which of the following statements is true? There are less yellow marbles than red marbles.
There are less yellow marbles than blue marbles.
There are less red marbles than blue marbles.
There are less blue marbles than yellow marbles.

Evaluate 4 a for a = 5 2/3 . express your answer in simplest form.

Jeffery conducted a survey in his school and found that 30 of the 50 eighth grade students' favorite subject is mathematics. based on the results, jeffery concluded that out of the 200 students in his school, 120 students' favorite subject is mathematics. select the statement that is true about jeffery's conclusion. a. jeffery's conclusion is not valid because the sample was biased since only 200 students were surveyed. b. jeffery's conclusion is valid because the sample was random since all of the students were eighth grade students. c. jeffery's conclusion is valid because the sample was random. d. jeffery's conclusion is not valid because the sample was biased since all of the students were eighth grade students.

Thee blue triangle has rotated from quadrant i to quadrant iii about the origin. describe the effects of the rotation on the coordinates of the blue triangle.