thats cool did you want to ask a question though?
Answer : <em>The</em><em> </em><em>required</em><em> </em><em>ratio</em><em> </em><em>is</em><em> </em><em>(</em><em>1</em><em>4</em><em>m</em><em>-</em><em>6</em><em>)</em><em>:</em><em>(</em><em>8</em><em>m</em><em>+</em><em>2</em><em>3</em><em>)</em><em> </em><em>.</em>
Here we are given that the ratio of sum of first n terms of two AP's is (7n + 1):(4n + 27) .
That is.
As , we know that the sum of n terms of an AP is given by ,
Assume that ,
- First term of 1st AP = a
- First term of 2nd AP = a'
- Common difference of 1st AP = d
- Common difference of 2nd AP = d'
Using this we have ,
Now also we know that the nth term of an AP is given by ,

Therefore,


From equation (i) and (iii) ,



Substitute this value in equation (i) ,

Simplify,

![\longrightarrow\sf\small \dfrac{2[a + (m-1)d]}{2[a' + (m-1)d']}=\dfrac{ 14m-6}{8m+23}\\](https://tex.z-dn.net/?f=%5Clongrightarrow%5Csf%5Csmall%20%5Cdfrac%7B2%5Ba%20%2B%20%28m-1%29d%5D%7D%7B2%5Ba%27%20%2B%20%28m-1%29d%27%5D%7D%3D%5Cdfrac%7B%2014m-6%7D%7B8m%2B23%7D%5C%5C)
![\longrightarrow\sf\small \dfrac{[a + (m-1)d]}{[a' + (m-1)d']}=\dfrac{ 14m-6}{8m+23}\\](https://tex.z-dn.net/?f=%5Clongrightarrow%5Csf%5Csmall%20%5Cdfrac%7B%5Ba%20%2B%20%28m-1%29d%5D%7D%7B%5Ba%27%20%2B%20%28m-1%29d%27%5D%7D%3D%5Cdfrac%7B%2014m-6%7D%7B8m%2B23%7D%5C%5C)
From equation (ii) ,

841 rounded to the nearest 10th is 840...hope this helps u :)
Answer:
2y + ( x- 20)= 500
y= 520-x/2
Step-by-step explanation:
Let the weight of George be x and the weight of the suspect be y .
The swing can hold a maximum of 500 pounds .
Twice the weight of suspect added with 20 pounds less than the weight of George equals 500.
2y + ( x- 20)= 500
or
2y+x- 20 = 500
adding 20 to both sides
2y+x -20 +20= 500+ 20
or
2y +x = 520
Subtracting x from both sides
2y+ x-x = 520-x
or
2y = 520-x
Dividing by 2 on both sides
y= 520-x/2
The suspect's weight is y= 520-x/2
Answer:
Alright well Graph the line using this slope and Y-intercept, or two points
Slope: - 2/3
Y - intercept: 1 Hope this helps have a nice day :)
Step-by-step explanation:
And if you want i can explain the Answer with detail