Ms Nelson has 3000 x 10 = 30,000 in her bank account
Let the common multiple be x
<span>3x : 2x </span>
<span>3x = 125 </span>
<span>x = 125/3 </span>
<span>So, B pays 2x = 2 × 125/3 = £250/3 </span>
Answer:
(5, 4 )
Step-by-step explanation:
Given the 2 equations
4x + 6y = 44 → (1)
4x + 2y = 28 → (2)
Subtracting (2) from (1) term by term eliminates the term in x, that is
(4x - 4x) + (6y - 2y) = (44 - 28), that is
4y = 16 ( divide both sides by 4 )
y = 4
Substitute y = 4 into either of the 2 equations and solve for x
Substituting y = 4 in (1)
4x + 6(4) = 44
4x + 24 = 44 ( subtract 24 from both sides )
4x = 20 ( divide both sides by 4 )
x = 5
Solution is (5, 4 )
Answer: 
Step-by-step explanation:
Let we consider sales of home in January as first term for sequence, then sales in February will be 2nd term and so on.
According to the given information, we have
First term : 
Second term :
Third term : 
We can see that, Common difference = 7
Explicit rule for Arithmetic sequence :

Put
and d=7

The required explicit rule that can be used to find the number of homes sold in the nth month of the year : 
(a) $0.06 per kilogram
(b) $0.72 per 12 kg bag