An arts academy requires there to be 4 teachers for every 96 students and 3 tutors for every 27 students . How many students does the academy have per​ teacher? Per​ tutor? How many tutors does the academy need if it has ​81 students?

Here is their argument. given the obtuse angle x, we make a quadrilateral abcd with ∠dab = x, and ∠abc = 90◦, and ad = bc. say the perpendicular bisector to dc meets the perpendicular bisector to ab at p. then pa = pb and pc = pd. so the triangles pad and pbc have equal sides and are congruent. thus ∠pad = ∠pbc. but pab is isosceles, hence ∠pab = ∠pba. subtracting, gives x = ∠pad−∠pab = ∠pbc −∠pba = 90◦. this is a preposterous conclusion – just where is the mistake in the "proof" and why does the argument break down there?

Write the sentence as an equation. 6 fewer than the quantity 140 times j equals 104

Write a fraction less than 1, which has a denominator of 6 and is greater than 3/4 plz answer !