an arts academy requires there to be 3 teachers for every 51 students and 5 tutors for every 45 students. how many students does the academy have per teacher? per tutor? how many tutors does the academy need if it has 90 students? The academy has ___ students per tutor

17 students per teacher, 9 students per tutor. You need 10 tutors if the school had 90 students.

Step-by-step explanation:

51 students divided by 3 teachers = 17 students per teacher.

45 students divided by 5 tutors = 9 students per teacher.

If there are 9 students per tutor 9 * 10 = 90 so ten tutors

step-by-step explanation:

the original amount doesn't ''re just looking for the time it takes for 1/2 of the substance to we have

(1/2) =)     take the ln   of both sides

ln (1/2)   = )   and we can write

ln(1/2) = ) lne     and lne   = 1     so we have

ln(1/2) = -.1092t     divide both sides by -.1092

t = ln(1/2)/-.1092 = about 6.347 days = about 6.3 days (rounded)

b

step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (3, - 5) ← 2 points on the line

m = = = - 3

with m = - 3 and (a, b) = (3, - 5), then

y - (- 5) = - 3(x - 3), that is

y + 5 = - 3(x - 3) → b