A recipe for fizzy juice says, “Mix 5 cups of cranberry juice with 2 cups of soda water.” The ratio of cranberry juice to soda water is 5:2. How many cups of cranberry do we need for 8 cups of soda?

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.

If a translation of t-3,-8(x, y) is applied to square abcd what is the y-coordinate of b'? the y-coordinate of is 43 mark this and return save and exit next submit

The function f(x)= x5+ ( x + 3)2 is used to create a table. if x = -1 then what is f(x)?