Display the equivalent part-to-part ratios in this two-column table. (1 point)
3 5
? 25
21 ?
30 50
The equivalent part-to-part ratios are as follows:
3:5
5:25
21:?
30:50
To find the equivalent part-to-part ratios, we can divide each number in the second column by the corresponding number in the first column.
So the equivalent part-to-part ratios are:
1) ? / 3 = 25 / 5
2) 21 / ? = 30 / 50
To solve for the missing values, we can cross multiply and then solve for the variable in each equation:
1) ? / 3 = 25 / 5
Cross multiplying: 5 * ? = 3 * 25
Simplifying: 5? = 75
Dividing both sides by 5: ? = 15
2) 21 / ? = 30 / 50
Cross multiplying: 50 * 21 = 30 * ?
Simplifying: 1050 = 30?
Dividing both sides by 30: ? = 1050 / 30
Simplifying: ? = 35
So the equivalent part-to-part ratios in the two-column table are:
3 5
15 25
21 35
30 50
To find the equivalent part-to-part ratios, we need to determine the missing values that make the ratios equivalent to the given ratios.
Let's start with the first ratio: 3:5.
To find the missing value in the first row, we can set up a proportion by equating the ratios:
3/5 = ?/25
To solve for the missing value, we can cross-multiply and then divide:
(3 * 25) / 5 = ?
So, the missing value in the first row is (3 * 25) / 5 = 15.
Next, let's move to the second ratio: 21:?
Similarly, we can set up a proportion:
21/? = 30/50
Cross-multiplying and dividing gives us:
(21 * 50) / 30 = ?
The missing value in the second ratio is (21 * 50) / 30 = 35.
Now, we can fill in the missing values in the table:
3 5
15 25
21 35
30 50
Therefore, the equivalent part-to-part ratios in the table are:
3:5, 15:25, 21:35, and 30:50.