7x − 12 = 5x + 17 what is x?
2 answers:
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The series 7 + 16 + 25 +34 +43 +52 + 61 is an illusration of arithmetic series
The sigma notation of the series is:
The series is given as:
7 + 16 + 25 +34 +43 +52 + 61
The above series is an arithmetic series, with the following parameters
- First term, a = 7
- Common difference, d = 9
- Number of terms, n = 7
Start by calculating the nth term using:
a(n) = a + (n - 1) * d
This gives
a(n) = 7 + (n - 1) * 9
Evaluate the product
a(n) = 7 - 9 + 9n
Evaluate the difference
a(n) = 9n - 2
So, the sigma notation is:
Read more about arithmetic series at:
Answer:
Edgardo would use the container <u>160 times</u> to fill.
Step-by-step explanation:
Given:
Edgardo uses a container to fill the 10 gallon cooler.
If he uses a one cup container.
Now, to find the times it would take to fill the 10 gallon container.
As, the capacity of container = 1 cup.
And, the capacity of cooler = 10 gallon.
So, we use conversion factor to find the times the container to fill the cooler:
1 gallon = 16 cups.
10 gallon =
10 gallon = 160 cups.
<u><em>Thus, to fill the 10 gallon cooler 160 cups of container needed.</em></u>
<u><em>And, the container is of 1 cup.</em></u>
So, to get the times he would use the container we divide 160 by 1:
<u><em>Hence, 160 times Edgardo would use the 1 cup container to fill the 10 gallon cooler.</em></u>
Therefore, Edgardo would use the container 160 times to fill.