Answer:
B
Step-by-step explanation:
the equation representing direct variation is
y = kx ← k is the constant of variation
The equation representing inverse variation is
y = 
← k is the constant of variation
Given
3y = x ( divide both sides by 3 )
y = 
x ← equation representing direct variation
with k =
4(d-8)-5 = 9(d+2)+1
Assuming you're looking for d:
Use Distributive Property for both sides
4d-32-5 = 9d+18+1
Combine like terms
4d-37 = 9d+19
Take all d's to one side & numbers to other
-37-19 = 9d-4d
Simplify
-56 = 5d
Divide both sides by 5
d = -56/5
Step-by-step explanation:
here is the right answers
An = 2n + 2
a1 = 2(1) + 2 = 2 + 2 = 4
a2 = 2(2) + 2 = 4 + 2 = 6
a3 = 2(3) + 2 = 6 + 2 = 8
a4 = 2(4) + 2 = 8 + 2 = 10
a5 = 2(5) + 2 = 10 + 2 = 12
Answer:
a) 18 students per teacher
b) 9 students per tutor
c) 7 tutors
Step-by-step explanation:
An arts academy requires there to be 6 teachers for every 108 students and 5 tutors for every 45 students.
a) How many students does the academy have per teacher?
6 teachers = 108 students
1 teacher = x
Cross Multiply.
6x = 108
x = 108/6
x = 18 students per teacher
b) Per tutor?
5 tutor = 45 students
1 tutor = x
Cross Multiply
5x = 45
x = 45/5
x = 9 students
= 9 students per tutor
c) How many tutors does the academy need if it has 63 students?
45 students = 5 tutors
63 students = x
Cross Multiply
45x = 63 × 5
x = 63 × 5/45
x = 7 tutors
