Answer: The tenth term is 76
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Explanation:
We use this arithmetic sequence formula to get the nth term
Plug in 
and you should get the following:
The tenth term is <u>76</u>
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We can verify this by listing out the terms one by one. Start at 4, add on 8 each time, until you generate the 10th term. A table like the one shown below is a good way to keep track of all the terms.
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In short, the error is with the "10" in the expression 4+10(8). The student should have used 9 instead. This is because of the n-1 term in which shifts everything one spot to the left.
Answer: x = 0
Step-by-step explanation:
1 - 3x = 3x + 1
then add 3x on both sides
1 = 6x + 1
then subtract 1 on both sides
0 = 6x
then divide by 6 on both sides
0 = x
so x = 0
Answer:
In each place there must be more 100 pennies, but as the total 250 pennies, there are several ways that the money is distributed.
Because there may be 101 pennies in the box and 149 pennies in the bank, but it can also be the opposite; in the box 149 pennies and in the bank 101 pennies.
Therefore, there are many options to answer the question, as long as it is met that there are more than 100 pennies in one place.
Answer:
The rate of change is 4.6 tickets/hour.
Step-by-step explanation:
The equation that represents the ticket sales is the equation of a line:
y = 4.6*x - 12.2
The equation of any given line can be writen by the following formula:
y = m*x + b
Where "m" is the slope of the line, or the rate of change, while b is the value for "y" when "x" is zero. Therefore in this case the rate of change is the number multiplying "x", so 4.6 tickets/hour.
