We use letters to represent the unknown coins.
P for pennies that worth 1 cents
N for nickels that worth 5 cents
D for dimes that worth 10 cents
Q for quarters that worth 25 cents.
<span>"He has twice as many nickels (N) as dimes (D)" So D=2N
</span><span>"and four times as many pennies (P) as quarters (Q)." So Q=4P
</span>
Number of coins equals P+N+D+Q=P+N+2N+4P (Dimes and quarters are written in terms of nickels and pennies, respectively)
So, number of coins is equal to 5P+3N=201. Thats is the first equation (I)
To write the second equation, use cents of coins. 12.10 $ in coins can be shown as
5P. 1 cent + 3N. 5 cent=1210 cents or simply 5P + 15N=1210 (Second equation)
We have two equations and two unknowns so it is soluble.
number of coins: 5P+3N=201 (I)
cents of coins: 5P+15N=1210 (II)
Use the substitution method. (II) - (I)=12N=1009
N=1009/12=84 ( Actually it is 84.08)
D=2N=168
P= -10
Q=-40
Number of pennies and quarters are <span>meaningless. They can't be negative. So they should be something wrong in the question.</span>
The answer is 468............
The constant of proportionality is 3
Answer:15
Step-by-step explanation:
Answer:
where n>1
Step-by-step explanation:
Given
Required
Determine the recursive formula
The given sequence shows arithmetic progression (AP).
First, we calculate the common difference (d):
The recursive formula of an AP is determined using:
where
Substitute 3 for d
where