The answer is choice C
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You start off with the first term being a1 = 3
Then you add on 3 to get to 6 as the second term
The next thing to do is add on -3, which is the same as subtracting 3, to get back to 3 once more.
This pattern continues on forever. To ensure you add on either +3 or -3 to the previous term, we add on the general term 3*(-1)^n
Overall, the nth term is found by a(n) = a(n-1) + 3*(-1)^n, which is what choice C shows. I'm assuming your teacher meant to write 3(-1)^n instead of 3(-1)n
I like to start with changing fractions to decimals. It seems easier that way.
5/8 = 0.625 cups
Now divide 4 by 0.625
4 / 0.625 = 6.4
Noor can offer 6 cups with an extra 2/5 of a cup left. He can offer the 2/5 of a cup to a friend, so he can offer 7 friends some hot chocolate!
Answer:
5 inches I hope that's right
Step-by-step explanation:
:)
Answer:
Number of Pennies = 30
Number of Dimes = 90
Step-by-step explanation:
Let the number of pennies be p and number of dimes be d
We can write 2 equations and use substitution method to solve.
<u>Total value of all the coins is 9.30:</u>
We can write:
0.01p + 0.1d = 9.30
Note: value of penny is 0.01 and dime is 0.1, in dollars
<u>Number of dimes is 3 times number of pennies:</u>
We can write:
d = 3p
Now putting 2nd equation in first and solving for p:
0.01p + 0.1(3p) = 9.30
0.01p + 0.3p = 9.30
0.31 p = 9.30
p = 9.30 /0.31
p = 30
Now we know d = 3p, so d = 3 (30) = 90
Hence
Number of Pennies = 30
Number of Dimes = 90
