Answer:
Stephen has 9 trees
Alice has 21 trees
Step-by-step explanation:
<u>At the beginning:</u>
Stephen = x trees
Alice = x + 12 trees
<u>At the end:</u>
Alice = (x + 12) - 4 trees
Stephen = x + 10 trees
Total = 36
Then
Stephen - 9 trees
Alice - 9 + 12 = 21 trees
Answer:
70
Step-by-step explanation:
= First term = 
= Common difference = 
= Number of terms = 20
Sum of arithmetic progression is given by
![S=\dfrac{n}{2}[2a_1+(n-1)d]\\\Rightarrow S=\dfrac{20}{2}\times (2\times \dfrac{1}{3}+(20-1)\dfrac{1}{3})\\\Rightarrow S=70](https://tex.z-dn.net/?f=S%3D%5Cdfrac%7Bn%7D%7B2%7D%5B2a_1%2B%28n-1%29d%5D%5C%5C%5CRightarrow%20S%3D%5Cdfrac%7B20%7D%7B2%7D%5Ctimes%20%282%5Ctimes%20%5Cdfrac%7B1%7D%7B3%7D%2B%2820-1%29%5Cdfrac%7B1%7D%7B3%7D%29%5C%5C%5CRightarrow%20S%3D70)
The sum of the first 20 terms of the arithmetic sequence is 70.
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All you need to do is 267 times 93 to get the exact answer. the questions says ABOUT how many sticks so we can round the numbers. we can turn 267 into 270 and 93 into 90 and then multiply 270 by 90 to get 24,300 popsicle sticks
Answer:
not enough information
Step-by-step explanation:
Dividing altitude by hours, we find the ratios to be 400/2 = 200 ft/h and 700/6 = 116 2/3 ft/h.
These are not the same ratio, so altitude is not proportional to time.
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However, that's not what the question asks. It ask about rate of change. We only have enough information to determine the rate of change between hour 2 and hour 6 is 300 ft in 4 hours, or 75 ft/hour. Since we don't have any other rate of change information, we cannot determine if the rate of change is proportional to anything.
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<em>Comment on the question</em>
We suspect the question is simply worded poorly, and that we're supposed to determine if altitude is proportional to hours. (It is not). If that is actually the question, "rate of change" needs to be left out of the question.
