The square of an integer number
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Answer:
Not possible scores: 6, 15, 23, 31 and 58.
Step-by-step explanation:
We have been given that Juana threw five darts at a dartboard. The possible scores on the target were 2, 4, 6, 8, and 10. Each dart hit the target. We are asked to choose the total scores that can be quickly identified as "not possible".
Given scores: 38, 23, 58, 30, 42, 31, 26, 6, 14, or 15.
Since the maximum score is 10 and number of hits are 5, therefore, the maximum score can be hitting 10 each of the 5 times.
Since the maximum score is 50, therefore, 58 is an impossible score.
Since the minimum score is 2 and number of hits are 5, therefore, the minimum score can be hitting 2 each of the 5 times.
Since the minimum score is 10, therefore, 6 is an impossible score.
Since all scores on board are even, so the sum of 5 hits must be even, therefore, odd numbers like 15, 23, 31 are not possible scores.
The new mixture exists 56.5% peanuts.
<h3>How to estimate the total number of peanuts required for the mixture?</h3>The first batch of 9 lb of mixed nuts possesses 40% peanuts.
This means the quantity of peanuts exists:
9 40/100 = 3.6 lb
The second batch of 9 lb of mixed nuts possesses 73% peanuts.
This means the quantity of peanuts exists:
9 73/100 = 6.57 lb
The total quantity of peanuts in the mix exists
3.6 lb + 6.57 lb = 10.17 lb
There exist 9 lb + 9 lb = 18 lb of mix.
Therefore, the percent of peanuts in the mix exists:
10.17 / 18 100 = 56.5%
The new mixture exists 56.5% peanuts.
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