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!
To understand the relationship between the given ordered pairs, let's analyze each set separately:
1. (1,2), (3,4), (5,6), (0,__), (10,11), (2,__), (__ ,7), (8,__)
In this set, we can observe that the second number is always one greater than the first number, forming a sequence of consecutive numbers. Thus, the missing numbers can be determined as follows:
- (0,1) - The second number is one greater than the first number.
- (2,3) - The second number is one greater than the first number.
- (6,7) - The second number is one greater than the first number.
- (8,9) - The second number is one greater than the first number.
2. (9,3), (3,1), (12,__ ), ( __,2), ( __,7), (8,__)
In this set, there is no clear pattern between the first and second numbers. However, we can notice that the numbers seem to be decreasing while alternating between odd and even. To find the missing numbers:
- (12,0) - The second number decreases, going from 1 to 0.
- (0,2) - The first number decreases, going from 3 to 0.
3. (4,9), (5,11), (2,5), (6,__ ), (__ ,7), (10,__ ), (__ ,3 )
In this set, there is no obvious pattern between the first and second numbers. However, if we examine closely, we can see that the difference between the first and second numbers is increasing by 2 in each pair. To find the missing numbers:
- (6,13) - The difference between the first and second numbers is 2 more than the previous difference.
- (8,9) - The difference between the first and second numbers is 2 less than the previous difference.
4. (3,10), (6,37), (2,5), (7,__ ), (5,__ ), (__ ,2), (__ ,82 )
In this set, there doesn't seem to be a direct relationship between the first and second numbers. However, if we examine further, we can see that the second number is obtained by squaring the first number and then adding the first number itself. To find the missing numbers:
- (7,56) - Square the first number (7^2 = 49) and add the first number (49 + 7 = 56).
- (9,14) - Square the first number (9^2 = 81) and add the first number (81 + 9 = 90).
5. (12,8), (6,5), (10,7), (14,__ ), (20,__ ), (__ ,14), (100,__ )
In this set, no clear pattern is evident between the first and second numbers. However, if we examine closely, we can see that the second number is obtained by subtracting the first number from 20. To find the missing numbers:
- (14,6) - Subtract the first number (14) from 20 (20 - 14 = 6).
- (20,0) - Subtract the first number (20) from 20 (20 - 20 = 0).
6. (3,6), (8,56), (5,20), (6,__ ), (10,__ ), (4,__ )
In this set, the relationship between the first and second numbers is not obvious. However, upon examination, we can see that the second number is obtained by multiplying the first number by the sum of its digits. To find the missing numbers:
- (6,42) - Multiply the first number (6) by the sum of its digits (6 * (6+0) = 42).
- (10,90) - Multiply the first number (10) by the sum of its digits (10 * (1+0) = 90).
- (4,8) - Multiply the first number (4) by the sum of its digits (4 * (4+0) = 8).
7. (16,2), (64, 4), (36,3), (100,__ ), (4,__ ), (144,__ )
In this set, there doesn't seem to be an evident pattern between the first and second numbers. However, upon closer examination, we can notice that the second number is equal to the square root of the first number. To find the missing numbers:
- (100,10) - Take the square root of the first number (sqrt(100) = 10).
- (4,2) - Take the square root of the first number (sqrt(4) = 2).
- (144,12) - Take the square root of the first number (sqrt(144) = 12).
By analyzing the patterns or relationships between the given ordered pairs, we were able to determine the missing numbers in each set.