Use the table to answer the question.
8 48
10 60
x 72
y 84Analyze the ratios in the table to find the missing values.(1 point)
Responses
432; 504
432; 504
18; 26
18; 26
12; 14
12; 14
22; 34
The ratios between the corresponding values in the table are the same. We can use this information to find the missing values.
The ratio between 8 and 48 is 8/48 = 1/6.
The ratio between 10 and 60 is 10/60 = 1/6.
Therefore, the ratio between x and 72 should also be 1/6, and the ratio between y and 84 should also be 1/6.
To find the missing values, we can set up proportions:
x/72 = 1/6
y/84 = 1/6
Cross multiplying gives us:
6x = 72
6y = 84
Solving for x and y gives us:
x = 72/6 = 12
y = 84/6 = 14
Therefore, the missing values are x = 12 and y = 14.
To find the missing values in the table, we can analyze the ratios between the numbers.
The ratio of the first column can be found by dividing the second column by 6:
48/8 = 6
60/10 = 6
So, the ratio for the first column is 6.
To find the missing value in the first row, we can multiply the ratio by 8:
6 x 8 = 48
To find the missing value in the second row, we can multiply the ratio by 10:
6 x 10 = 60
Since the ratio between the second and third column is the same as the ratio between the first and second column, we can apply the same ratio to find the missing values.
To find the missing value in the third row, we can multiply the ratio by 12:
6 x 12 = 72
To find the missing value in the fourth row, we can multiply the ratio by 14:
6 x 14 = 84
Therefore, the missing values are:
x = 72
y = 84
To analyze the ratios in the table and find the missing values, we need to look for a pattern or relationship between the numbers in each row.
First, let's examine the ratios between the numbers in each row:
- The ratio between 8 and 48 is 48/8 = 6.
- The ratio between 10 and 60 is 60/10 = 6.
From this, we can see that the ratio between the first and second numbers in each row is always the same, equal to 6. Therefore, we can use this ratio to find the missing values.
To find the missing value x, we can set up the equation: 8 * 6 = x. Solving for x, we get x = 48.
To find the missing value y, we can set up the equation: 10 * 6 = y. Solving for y, we get y = 60.
So the missing values in the table are x = 48 and y = 60.
Therefore, the correct response is 48; 60.