Divide by rt on both sides

Subtract 2L from both sides

Subtract 9 then multiply by 4

Multiply by K
Answer:
425.25
Step-by-step explanation:
Since we are given 36th term as 14 and we know common difference is
, it means that from the first term, we add
to each and get 14 on the 36th term. To figure out the first term, thus, we have to subtract
35 times from 14. Let's do it to get first term:

The sum of arithmetic sequence formula is:
![S_{n}=\frac{n}{2}[2a+(n-1)d]](https://tex.z-dn.net/?f=S_%7Bn%7D%3D%5Cfrac%7Bn%7D%7B2%7D%5B2a%2B%28n-1%29d%5D)
Where,
is the sum of nth term (we want to figure this out for first 36 terms)
is the first term (we figured this out to be 9.625)
is the term number (36 for our case)
is the common difference (given as
)
Substituting all the values, we get:
![S_{36}=\frac{36}{2}[2(9.625)+(36-1)(\frac{1}{8})]\\S_{36}=18[19.25+4.375]\\S_{36}=18[23.625]\\S_{36}=425.25](https://tex.z-dn.net/?f=S_%7B36%7D%3D%5Cfrac%7B36%7D%7B2%7D%5B2%289.625%29%2B%2836-1%29%28%5Cfrac%7B1%7D%7B8%7D%29%5D%5C%5CS_%7B36%7D%3D18%5B19.25%2B4.375%5D%5C%5CS_%7B36%7D%3D18%5B23.625%5D%5C%5CS_%7B36%7D%3D425.25)
First answer choice is right.
y=-4x+7
the -4 is the slope and the 7 is the y-intercept
Answer:
Ethan = 1.(3x)
Step-by-step explanation:
Let's split "Ethan saved 1/3 more than that"
That = x
So, Ethan saved 1/3 more than x
Meaning that Ethan = x + 1/3x
Combine like terms
Ethan = 1 1/3x
which equals to
Ethan = 1.(3x)
Hope this helps :)
Have a great day
Answer:
164
The 982 part seems wrong. Are you sure it isn't 981?
around 436 if I use 981 instead. 982 would give a decimal and that would be kinda weird for a part human.
Step-by-step explanation:
You can divide the 205 by 5 to simplify the ratio down. 205/5 = 41. Then you can multiply by 4 to find then number of boys.
981
So you can add the 5 and 4 together to 9 and then divide 981 by 9 to get 109. Then you can multiply by 4 to get 436.
Hope this helps!