Answer: The missing number in the sequence is 
Step-by-step explanation:
Since we have given that

First term = a= 
Common difference = d is given by

Therefore, it forms an arithmetic sequence.
Since,
is missing,
So,

Hence, the missing number in the sequence is 
Answer:
(
, 3 )
Step-by-step explanation:
Given the 2 equations
y = 9x → (1)
6x - y = - 1 → (2)
Substitute y = 9x into (2)
6x - 9x = - 1, that is
- 3x = - 1 ( divide both sides by - 3 )
x = 
Substitute x =
into (1) for corresponding value of y
y = 9 ×
= 3
Solution is (
, 3 )
The bus driver arrives in Oban at 11:20
Answer:

Step-by-step explanation:
step 1
Find the slope
we have
(0,-6) and (1,4)
The slope is equal to

step 2
Find the equation of the line in slope intercept form
The equation of the line in slope intercept form is

we have

-----> y-intercept (given value in the table)
substitute

Answer: it will take 4 months for the amount to be the same and the amount would be $95
Step-by-step explanation:
Let x represent the number if months it will take for the two accounts have the same amount of money.
Christiana opened her account with $55 and plans to deposit $10 every month. This means that the amount that in the account after x months would be
10x + 55
Marlena opened her account with $35 and plans to deposit $15 every month. This means that the amount that in the account after x months would be
15x + 35
For the amount in the accounts to be the same, the number of months would be
15x + 35 = 10x + 55
15x - 10x = 55 - 35
5x = 20
x = 20/5
x = 4
The amount would be
15 × 4 + 35
= 60 + 35
= $95