5 4
5a 2a
10b b
40 2
6 ?
2 5c
What is the missing algebraic expression? Express your answer in terms of c.
To find the missing algebraic expression, let's analyze the given expressions.
In the first row, we have:
5 4
5a 2a
From the first column, we can see that the common factor is "5". Therefore, we can divide the first expression in the second row by "5":
5a / 5 = a
Next, let's look at the second row:
10b b
40 2
From the second column, we can deduce that the common factor is "4". So we can divide the second expression in the second row by "4":
2b / 4 = b/2
Now, let's focus on the last row:
6 ?
2 5c
To determine the missing expression, we need to look for a common factor. Notice that the first column has a common factor of "2". Thus, we divide the first expression in the last row by "2":
6 / 2 = 3
Looking at the second column, we spot a common factor of "5c". So, we divide the second expression in the last row by "5c":
(5c) / (5c) = 1
Hence, the missing algebraic expression in terms of c is:
3 + 1 = 3 + 1 = 4
Therefore, the missing algebraic expression is "4".