Answer:
219
Step-by-step explanation:
83 + 119 = 202
202 + 17 = 219
Answer:
:) 17
Step-by-step explanation:
68 = 4 x L
68 div by 4 = 17
the length is 17
Answer:
![a_1=4\\\\a_2=0\\\\a_3=3](https://tex.z-dn.net/?f=a_1%3D4%5C%5C%5C%5Ca_2%3D0%5C%5C%5C%5Ca_3%3D3)
Explanation:
The equation is:
![a_n=3a_{n-1}-5a_{n-2}-4a_{n-3}](https://tex.z-dn.net/?f=a_n%3D3a_%7Bn-1%7D-5a_%7Bn-2%7D-4a_%7Bn-3%7D)
and
![a_4=-7, a_5=-36, a_6=-85](https://tex.z-dn.net/?f=a_4%3D-7%2C%20a_5%3D-36%2C%20a_6%3D-85)
<u>1. Subsittute n = 6 into the equation:</u>
![a_6=3a_{5}-5a_{4}-4a_{3}](https://tex.z-dn.net/?f=a_6%3D3a_%7B5%7D-5a_%7B4%7D-4a_%7B3%7D)
Now subsititute the known values:
![-85=3(-36)-5(-7)-4a_{3}](https://tex.z-dn.net/?f=-85%3D3%28-36%29-5%28-7%29-4a_%7B3%7D)
You can solve for ![a_3](https://tex.z-dn.net/?f=a_3)
![-85=-108+35-4a_{3}\\\\4a_3=12\\\\a_3=12/4\\\\a_3=3](https://tex.z-dn.net/?f=-85%3D-108%2B35-4a_%7B3%7D%5C%5C%5C%5C4a_3%3D12%5C%5C%5C%5Ca_3%3D12%2F4%5C%5C%5C%5Ca_3%3D3)
<u />
<u>2. Substitute n = 5 into the equation:</u>
![a_5=3a_{4}-5a_{3}-4a_{2}](https://tex.z-dn.net/?f=a_5%3D3a_%7B4%7D-5a_%7B3%7D-4a_%7B2%7D)
Substitute the known values and solve for ![a_2](https://tex.z-dn.net/?f=a_2)
![-36=3(-7)-5(3)-4a_{2}\\\\4a_2=-21-15+36=0\\\\a_2=0](https://tex.z-dn.net/?f=-36%3D3%28-7%29-5%283%29-4a_%7B2%7D%5C%5C%5C%5C4a_2%3D-21-15%2B36%3D0%5C%5C%5C%5Ca_2%3D0)
<u>3. Substitute n = 4 into the equation, subsitute the known values and solve for </u>
<u />
![a_4=3a_{3}-5a_{2}-4a_{1}](https://tex.z-dn.net/?f=a_4%3D3a_%7B3%7D-5a_%7B2%7D-4a_%7B1%7D)
![-7=3(3)-5(0)-4a_{1}\\\\4a_1=9+7=16\\\\a_1=4](https://tex.z-dn.net/?f=-7%3D3%283%29-5%280%29-4a_%7B1%7D%5C%5C%5C%5C4a_1%3D9%2B7%3D16%5C%5C%5C%5Ca_1%3D4)
Let the number be n. Then 2(n-10) = 6n + 14.
Multiplying out the left side, 2n - 20 = 6n + 14. Thus, -34=4n, and n = -17/2.
Hi!
We will solve this using ratios, like this:
4 1/2 = 4,5 kg of olive oil for 27 $
1 kg of olive oil for x $
_____________________________
x = (27*1)/4,5
x = 27/4,5
x = 6 $ per kilogram
Hope this helps!