Answer:
Mr. Dairo can produce 20580 pieces of Papaya rosette in two weeks.
Step-by-step explanation:
Papaya rosette pieces on first day = 5890
Papaya rosette Pieces on second day = 7020
Papaya rosette Pieces of third day = 8150
Let
![a_1 = 5890\\a_2 = 7020\\a_3 = 8150](https://tex.z-dn.net/?f=a_1%20%3D%205890%5C%5Ca_2%20%3D%207020%5C%5Ca_3%20%3D%208150)
We can check if these numbers are part of a sequence.
In order to check, common difference will be found first.
![d = a_2-a_1 = 7020-5890 = 1130\\d =a_3-a_2 = 8150-7020 = 1130](https://tex.z-dn.net/?f=d%20%3D%20a_2-a_1%20%3D%207020-5890%20%3D%201130%5C%5Cd%20%3Da_3-a_2%20%3D%208150-7020%20%3D%201130)
It can be observed that the common difference is same. When the common difference is same, the sequence is said to be an arithmetic sequence.
The formula for arithmetic sequence is given by:
![a_n = a_1+(n-1)d](https://tex.z-dn.net/?f=a_n%20%3D%20a_1%2B%28n-1%29d)
Putting the values
![a_n = 5890+(n-1)(1130)\\a_n = 5890+1130n-1130\\a_n =4760+1130n](https://tex.z-dn.net/?f=a_n%20%3D%205890%2B%28n-1%29%281130%29%5C%5Ca_n%20%3D%205890%2B1130n-1130%5C%5Ca_n%20%3D4760%2B1130n)
The formula for nth term can be used to find any term. As we have to find the number of papaya rosette pieces after two weeks which means that we need to find the number of pieces on 14th day.
So,
![a_{14}= 4760+1130(14)\\a_{14} = 4760+15820\\a_{14} = 20580](https://tex.z-dn.net/?f=a_%7B14%7D%3D%204760%2B1130%2814%29%5C%5Ca_%7B14%7D%20%3D%204760%2B15820%5C%5Ca_%7B14%7D%20%3D%2020580)
Hence,
Mr. Dairo can produce 20580 pieces of Papaya rosette in two weeks.
To find what percent of something something is you first divide the part by the whole (85/100=0.85) and then multiply that by 100 (0.85 * 100=85) this means you get 85%
Skew lines are lines that are not pararell or perpendicular.
The only lines that fit this explanation are AE and GF
Hope this helps!
Answer:
-7x + 24
Explanation:
(13x + 30) - (20x + 6)
13x + 30 - 20x - 6
-7x + 30 - 6
-7x + 24
The total number of fish bought was 320. And you know she bought two types of fish. The best way to solve this is guess and check. It would be the fastest. So she bought 7 times as many trigger-fish as parrot fish that means the number of trigger-fish bought was 7p. This means 320 = 7p +p. So all you do is take educated guesses for the number of parrot fish and check if it is right. So if she bought 50 parrot fish. 7(50) + 50 = 400. Close but a bit high. Lets keep guessing. 7(35) + 35 = 245. So now we know the answer is between 50 and 35. So lets try 40. 7(40) + 40 =320. That works so we know she bought 40 parrot fish and 280 trigger-fish.