these numbers in ordered pairs are related to each other.
1.(1,2), (3,4), (5,6), (0,__), (10,11), (2,___), (___,7), (8,__)
2. (9,3), (3,1), (12,__), (__,2), (___,7), (8,___)
3. (4,9), (5,11), (2,5), (6,__), (__,7), (10,__), (__,3)
4. (3,10), (6,37), (2,5), (7,__), (5,__), (__,2), (__,82)
5. (12,8), (6,5), (10,7), (14,__), (20,__), (__,14), (100,__)
6.(3,6), (8,56), (5,20), (6,__), (10,__), (4,__)
7. (16,2), (64, 4), (36,3), (100,__), (4,__), (144,__)
Note: there were 30 questions and i got all of them except these 7. Please explain all 7 pairs.
Thank you!
Certainly! Let's analyze each set of ordered pairs one by one and find the relationship between the numbers.
1. (1,2), (3,4), (5,6), (0,__), (10,11), (2,__), (__ ,7), (8,__):
In this set, it appears that the first number in each pair is increasing by 2. Therefore, the missing numbers in the set can be determined by adding 2 to the previous number. The missing numbers are: (0,2), (2,8), (6,7), and (8,10).
2. (9,3), (3,1), (12,__ ), (__,2), ( __,7), (8,__ ):
In this set, the first number in each pair is decreasing by 6. Therefore, the missing number in the set can be found by subtracting 6 from the previous number. The missing numbers are: (12, -4) and (2,6).
3. (4,9), (5,11), (2,5), (6,__ ), ( __,7), (10,__), ( __,3):
In this set, the first number in each pair is increasing by 1. Therefore, the missing number in the set can be determined by adding 1 to the previous number. The missing numbers are: (6,13), (8,7), and (12,3).
4. (3,10), (6,37), (2,5), (7,__ ), ( 5,__ ), ( __,2), ( __,82):
The relationship in this set is not as straightforward as the previous ones. However, upon analysis, it seems that the relationship between the numbers in each pair involves multiplication and addition. The missing numbers can be found using the pattern: (7,94) and (5,17).
5. (12,8), (6,5), (10,7), (14,__ ), (20,__ ), (__ ,14), (100,__ ):
In this set, there does not appear to be a clear pattern. However, if we consider the difference between the first and second numbers in each pair, we can see that it is decreasing by 3. Therefore, the missing numbers in the set can be determined by subtracting 3 from the previous difference. The missing numbers are: (14,4) and (20,11).
6. (3,6), (8,56), (5,20), (6,__ ), (10,__ ), (4,__ ):
In this set, there is no obvious pattern. However, upon closer inspection, we can see that the second number in each pair is obtained by squaring the first number and then adding a multiple of 10. The missing numbers can be found using this pattern: (6,106), (10,380), and (4,16).
7. (16,2), (64,4), (36,3), (100,__ ), (4,__ ), (144,__ ):
In this set, the relationship is not immediately apparent. However, if we consider the square root of the first number in each pair, we can see that it results in the second number. Using this pattern, the missing numbers can be determined as follows: (100, 10), (4, 2), and (144, 12).
By analyzing the given sets of ordered pairs and identifying the patterns or relationships between the numbers, we were able to determine the missing numbers in each set.