an arts academy requires there to be 4 teachers for every 64 students and 3 tutors for every 33 students. how many students does the academy have per teacher? per tutor? how many tutors does the academy need if it has 121 students?

Ariana starts with 100 milligrams of a radioactive substance. the amount of the substance decreases by 20% each week for a number of weeks, w. the expression 100(1−0.2)w finds the amount of radioactive substance remaining after w weeks. which statement about this expression is true? a) it is the difference between the initial amount and the percent decrease. b) it is the difference between the initial amount and the decay factor after w weeks. c) it is the initial amount raised to the decay factor after w weeks. d) it is the product of the initial amount and the decay factor after w weeks.

The angle of depression from the top of the tree to the tip of the shadow is 25°. find the height of the tree to the nearest tenth. a. 16.8 feet b. 18.2 feet c. 23.4 feet d. 39.7 feet

Astudent is solving a system of equations by substitution and comes up with the solution 3 = 3. assuming that he solved the problem correctly, which of the following can be said about this system of equations?