Karen has $1.70 in coins. Karen has 8 coins, all of which are quarters or dimes.
1 answer:
Answer:
Karen has 6 quarters and 2 dimes
Step-by-step explanation:
Let
x ----> the number of quarter coins Karen has
y ----> the number of dimes coins Karen has
Remember that
we know that
<em>Equation that represent the amount of coins Karen has</em>
isolate the variable y
----> equation A
<em>Equation that represent the value of coins Karen has</em>
----> equation B
Solve the system of equations by substitution
substitute equation A in equation B
solve for x
<em>Find the value of y</em>
---->
therefore
Karen has 6 quarters and 2 dimes
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Answer:
1) 36
b) 5
c) 3.0
Step-by-step explanation:
1) The recursive formula that defines the given sequence is
That means we keep adding 4 to the subsequent terms:
The sequence will be:
12,16,20,24,28,32,36,...
Therefore the seventh term is 36.
2) The sequence is recursively defined by;
This means, we have to keep subtracting 5 from the subsequent terms.
The sequence will be;
20,15,10,5,...
Therefore the fourth term is 5
3) The sequence is recursively defined by:
f(n+1)=f(n)+0.5
where f(1)=-1.5
This means that, the subsequent terms can be found by adding 0.5 to the previous terms.
The sequence will be:
-1.5,-1.0,-0.5,0,0.5,1,1.5,2.0,2.5,3.0,....
Therefore f(10)=3.0
