Fun
n=number of nickles
q=number of quarters
d=number of dimes
4 more dmes than nickles, 3 more quarters than dimes
d+4=n
q=3+d
total value is 455 cents
10d+5n+25q=455
divide both sides by 5 to simplify
2d+n+5q=91
now we convert all to one coin
q=3+d and n+4=d
subsitute 3+d for q and n+4 for d
2(n+4)+n+5(3+d)=91
2(n+4)+n+5(3+n+4)=91
2(n+4)+n+5(n+7)=91
2n+8+n+5n+35=91
8n+43=91
minus 43 both sides
8n=48
divide both sides by 8
n=6
sub back
n+4=d
6+4=d
10=d
q=3+d
q=3+10
q=13
6 nickles
10 dimes
13 quarters
6x + 6(-x) = - 2
6x - 6x = - 2
the answer was not relevant than 0
i am a mathematics teacher. if anything to ask please pm me
The explicit rule for the arithmetic sequence for the sequence is a(n) = 3n + 2.
<h3>What is a sequence?</h3>
It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.
We have given:
and


The above expression represents the common ratio:
d = 3
First term:
a = 5
The explicit rule for the arithmetic sequence:
a(n) = 5 + (n - 1)3
a(n) = 3n + 2
Thus, the explicit rule for the arithmetic sequence for the sequence is a(n) = 3n + 2.
Learn more about the sequence here:
brainly.com/question/21961097
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