Answer:
y = 48
Step-by-step explanation:
given y is directly proportional to x then the equation connecting them is
y = kx ← k is the constant of proportionality
To find k use the condition y = 36 when x = 30
k =
=
= 
y =
x ← equation of proportionality
When x = 40 then
y =
× 40 = 48
Answer: Factorization of 6x + 120 = 6(x+20)
Factors = 6 and x+20
Step-by-step explanation:
Given: The expression 6x + 120 represents the total amount in the account after 6 months.
We need to factor the expression 6x + 120
We can write this as
6 x + 6 (20)
Common factor = 6 in both terms
So, 6 x + 6 (20) = 6(x+20)
Hence, Factorization of 6x + 120 = 6(x+20)
Im assuming you just want to take out common multiples so,
30d+18 is also the same as 6(5d+3)
5x + 2y = 13
x + 2y = 9
-------------------------subtract
4x = 4
x = 1
x + 2y = 9
1 + 2y = 9
2y = 8
y = 4
answer (1,4)
4x-4<8
Add 4 on both sides
4x<12
Divide 4 on both sides
x<3
9x+5>23
Subtract 5 on both sides
9x>18
Divide 9 on both sides
x>2
*for reference, I will go ahead and add in that x will be greater than 2 and less than 3
2<x<3
Hope I helped!!