The table shows the ratios of blue and yellow paint used to make green paint. What are the missing values?(1 point)
Blue 2 [] 12 20
Yellow 3 9 [] 30
Blue 2 6 12 20
Yellow 3 9 18 30
To find the missing values, we can use the ratios of the known values to calculate the missing values.
For the missing value in the first row, we can set up the following ratio:
2 : x = 12 : 20
To solve for x, we can cross-multiply:
2 * 20 = 12 * x
40 = 12x
Divide both sides by 12:
x = 40 / 12
x = 3.33
So, the missing value in the first row is approximately 3.33.
For the missing value in the second row, we can set up the following ratio:
3 : x = 9 : 30
To solve for x, we can cross-multiply:
3 * 30 = 9 * x
90 = 9x
Divide both sides by 9:
x = 90 / 9
x = 10
So, the missing value in the second row is 10.
To find the missing values, we need to determine the pattern in the ratios and apply it to the missing positions.
Looking at the table, we can see that the ratio of blue to yellow paint follows a pattern. To identify the pattern, we need to find the common divisor of the numbers within each column.
For the first column, the common divisor is 1: 2 ÷ 1 = 2, 3 ÷ 1 = 3.
For the second column, the common divisor is 3: 12 ÷ 3 = 4, 9 ÷ 3 = 3.
For the third column, the common divisor is 6: 20 ÷ 6 = 10, 30 ÷ 6 = 5.
By applying the common divisor to each column, we can determine the missing values:
Blue: 2 -> 6 -> 12 -> 20
Yellow: 3 -> 9 -> 18 -> 30
So, the missing values are:
Blue: 6, 12
Yellow: 18