juana threw five darts at a dartboard. the possible scores on a target were 2,4,6,8 and 10. each dart hit the target. which of these total score can be identified as "not possible": 38,23,58,30,42,31,26,6,14, or 15?
If five darts hit between 2 and 10 -- then the minimum would be 10 and the maximum would be 50.
Which of your numbers are above 50 or below 10?
Would any of the scores add up to an odd number?
so 6 is the only one "Not Possible".
correct?
No. 6 is only one of the not possibles.
I see one score over 50.
What about the odd numbers? What combination of scores would add up to 23, 31, or 15?
6, 15, 23, 31, 58..these are the "not possible" scores.
I know that she threw 5 darts
The possible scores are 2,4,6,8,10
Each dart hit the target
some of these numbers are not her final score, 38, 23, 58, 30, 42, 31, 26, 6, 14, 15.
I know the minimum score she can get is 10, because 5 times 2 is 10, and the Maximum score she can get is 50 because 5 times 10 is 50.
so I know that anything less than 10 and more than 50 is wrong. like, 58 and 6.
And the number has to be a even number so, 58, 6,15,23 and 31 are impossible outcomes
To determine which total score is "not possible," we need to check if it is achievable by adding up combinations of the given scores (2, 4, 6, 8, and 10) that Juana could have scored with her five darts.
Let's analyze each option:
- 38: This score is not possible because it cannot be reached by adding any combination of the given scores.
- 23: This score is also not possible because it cannot be obtained by adding any combination of scores.
- 58: This score is possible by adding 10 + 10 + 10 + 10 + 18.
- 30: This score is not possible because it cannot be reached by adding any combination of scores.
- 42: This score is possible by adding 10 + 10 + 10 + 6 + 6.
- 31: This score is not possible because it cannot be reached by adding any combination of scores.
- 26: This score is not possible because it cannot be reached by adding any combination of scores.
- 6: This score is possible by adding 2 + 2 + 2.
- 14: This score is possible by adding 2 + 2 + 4 + 4 + 2.
- 15: This score is not possible because it cannot be reached by adding any combination of scores.
Therefore, the scores that are "not possible" are 38, 23, 30, 31, 26, and 15.