Answer:
The sum of all integers is 774.
Step-by-step explanation:
Since √11 = 3.3166, and 3.3166 is not an integer, so the first integer is 4.
From 1 to 39, there are 39 integers. But we started with 4, so we take out 3 numbers (1, 2, 3). Therefore, there are 39 - 3 = 36 numbers left.
The total number between 4 and 39 is 36 = n.
Sn = n/2 x (a1 + an)
S36 = 36/2 x (4 + 39) = 18 x 43 = 774
2/14 = 1/7
then 1/7×1400 = 200
Answer:
The only complete ordered pair in the given table is:
5 months → $60 saved
Therefore, to determine the <u>relationship between the variables</u>, divide the amount saved by the number of months:
![\implies \sf \dfrac{Amount\:saved}{Number\:of\:months}=\dfrac{\$60}{5}=\$12](https://tex.z-dn.net/?f=%5Cimplies%20%5Csf%20%5Cdfrac%7BAmount%5C%3Asaved%7D%7BNumber%5C%3Aof%5C%3Amonths%7D%3D%5Cdfrac%7B%5C%2460%7D%7B5%7D%3D%5C%2412)
So we can assume that <u>$12 is saved each month</u>.
To complete the table:
- <em>Multiply</em> the given number of months by $12 to determine the <u>amount saved</u>.
- <em>Divide</em> the given amount saved by $12 to determine the <u>number of months</u>.
⇒ 3 × $12 = $36
⇒ $72 ÷ $12 = 6
⇒ 10 × $12 = $120
Completed table:
![\large\begin{array}{| c | c |}\cline{1-2} \sf Times\:(month) & \sf Amount\:Saved\: (\$) \\\cline{1-2} 3 & 36 \\\cline{1-2} 5 & 60 \\\cline{1-2} 6 & 72 \\\cline{1-2} 10 & 120 \\\cline{1-2} \end{array}](https://tex.z-dn.net/?f=%5Clarge%5Cbegin%7Barray%7D%7B%7C%20c%20%7C%20c%20%7C%7D%5Ccline%7B1-2%7D%20%5Csf%20Times%5C%3A%28month%29%20%26%20%5Csf%20Amount%5C%3ASaved%5C%3A%20%28%5C%24%29%20%5C%5C%5Ccline%7B1-2%7D%203%20%26%2036%20%5C%5C%5Ccline%7B1-2%7D%205%20%26%2060%20%5C%5C%5Ccline%7B1-2%7D%206%20%26%2072%20%5C%5C%5Ccline%7B1-2%7D%2010%20%26%20120%20%5C%5C%5Ccline%7B1-2%7D%20%5Cend%7Barray%7D)
You find the rates of each computer on its own...
One does the job in 55 minutes which we can say is 1/55
The other has a rate of 1/45.
The question wants to know how long it would take both working simultaneously to complete the job...
t/55+t/45=1
(9t+11t)/495=1
20t=495
t=24.75 minutes (24:15)