Two fourth grade classes at Valley Elementary School were asked to choose their favorite core subject. The results are shown in the two-way frequency table below. Favorite Core Subject Math Grammar History Science Total Mr. Allen's Class 3 10 7 15 35 Mrs. Jackson's Class 10 5 10 5 30 Total 13 15 17 20 65 What percentage of students in Mr. Allen's class chose math as their favorite subject? A. 20% B. 4.62% C. 23.08% D. 8.57%

Suppose that the price p (in dollars) and the weekly sales x (in thousands of units) of a certain commodity satisfy the demand equation 4p cubedplusx squaredequals38 comma 400. determine the rate at which sales are changing at a time when xequals80, pequals20, and the price is falling at the rate of $.20 per week.

Astudent found the solution below for the given inequality. |x-9|< -4 x-9> 4 and x-9< -4 x> 13 and x< 5 which of the following explains whether the student is correct? -the student is completely correct because the student correctly wrote and solved the compound inequality. -the student is partially correct because only one part of the compound inequality is written correctly. -the student is partially correct because the student should have written the statements using “or” instead of “and.” -the student is completely incorrect because there is no solution to this inequality.

Which expression equals 9^3 sqrt 10 a. 5 sqrt 10 + 4 sqrt 10 b. 5^3 sqrt 10 + 4 ^3 sqrt 10 c. 5 sqrt 10 + 4^3 sqrt 10 d. 5^3 sqrt 10 + 4 sqrt 10