display the equivalent part to part ratios in this two column table.
3 5
[ ] 25
21 [ ]
30 50
The equivalent part to part ratios in the two column table are as follows:
3 : 21 = 5 : [ ]
[ ] : 30 = 25 : 50
can i have the answers
Apologies for the confusion. Based on the given two column table, the equivalent part to part ratios are as follows:
3 : 5 = 21 : 25
30 : 50 = 3 : 5
To find the equivalent part-to-part ratios, you need to compare each pair of numbers in the same column. Let's fill in the blanks in the two-column table:
3 5
[6] 25
21 [35]
30 50
To determine the missing numbers in the first column, we can use cross multiplication:
3/5 = x/25
Multiply the numerator of the first ratio (3) by the denominator of the second ratio (25), and the denominator of the first ratio (5) by the numerator of the second ratio (x):
3 * 25 = 5 * x
75 = 5x
Divide both sides of the equation by 5 to solve for x:
75/5 = x
15 = x
So, the missing number in the first column is 15.
Now, let's find the missing number in the second column:
21/30 = x/50
Multiply the numerator of the first ratio (21) by the denominator of the second ratio (50), and the denominator of the first ratio (30) by the numerator of the second ratio (x):
21 * 50 = 30 * x
1050 = 30x
Divide both sides of the equation by 30 to solve for x:
1050/30 = x
35 = x
Therefore, the missing number in the second column is 35.
Now, the completed table with equivalent part-to-part ratios is:
3 5
15 25
21 35
30 50
To find the equivalent part-to-part ratios in this two-column table, we can use the concept of cross-multiplication.
Let's start with the first row, which has 3 in the first column and 5 in the second column. To find the missing value in the first column, we can set up the following equation:
3/x = 5/25
To solve this equation, we can cross-multiply:
3 * 25 = 5 * x
75 = 5x
Dividing both sides by 5, we find:
x = 15
So, the missing value in the first row is 15. Therefore, the equivalent part-to-part ratio for the first row is 3:15.
Moving on to the second row, which has 21 in the first column and a blank space in the second column. We can set up the equation as follows:
21/x = 30/50
Cross-multiplying:
21 * 50 = 30 * x
1050 = 30x
Dividing both sides by 30:
x = 35
Thus, the missing value in the second row is 35. Hence, the equivalent part-to-part ratio for the second row is 21:35.