8 48 10 60 x 72 y 84Analyze the ratios in the table to find the missing values.(1 point) Responses 22; 34 22; 34 12; 14 12; 14 432; 504 432; 504 18; 26
To analyze the ratios in the table, let's first compare the ratios between the given values:
8/48 = 10/60 = 72/84
We can notice that the ratio is constant for these values. Let's calculate this ratio:
8/48 = 10/60 = 72/84 = 1/6
Now let's find the missing values using this ratio:
x/72 = 1/6
Cross-multiplying, we get:
6x = 72
Dividing both sides by 6, we find:
x = 12
Similarly, we can find the value of y using the same ratio:
y/84 = 1/6
Cross-multiplying, we get:
6y = 84
Dividing both sides by 6, we find:
y = 14
Therefore, the missing values are x = 12 and y = 14.
To analyze the ratios in the table and find the missing values, let's look at the pattern between the given numbers.
First, let's examine the ratios between the adjacent pairs of numbers:
- The ratio between 8 and 48 is 48/8 = 6.
- The ratio between 48 and 10 is 48/10 = 4.8.
- The ratio between 10 and 60 is 60/10 = 6.
- The ratio between 60 and x is 60/x.
- The ratio between x and 72 is 72/x.
- The ratio between 72 and y is 72/y.
- The ratio between y and 84 is 84/y.
From the given ratios, we can observe that the pattern alternates between 6 and 4.8.
So, the ratio between 60 and x should be 6, implying that 60/x = 6. Solving this equation, we find x = 10.
Similarly, the ratio between x and 72 is 6, implying that x/72 = 6. Solving this equation, we find x = 432.
Lastly, the ratio between 72 and y is 4.8, implying that 72/y = 4.8. Solving this equation, we find y = 15.
Therefore, the missing values are:
x = 432
y = 15
To analyze the ratios in the table and find the missing values, we need to compare the ratios formed by the given numbers. Let's observe the given numbers:
8, 48, 10, 60, x, 72, y, 84
We can see that the given numbers can be paired to form ratios. Let's look at a few pairs and analyze their ratios:
- Ratios formed by the first four numbers: 8/48 and 10/60
- Simplifying these ratios, we get 1/6 and 1/6. These ratios are equal.
- Ratios formed by the last four numbers: x/72 and y/84
- Since we don't know the exact values of x and y, we cannot simplify these ratios further.
From the analysis, we can conclude that the ratios formed by the first four numbers are equal to each other. Therefore, the ratios formed by the last four numbers should also be equal. To find the missing values (x and y), we can set up an equation using the equal ratios:
x/72 = y/84
To solve for x and y, we can cross-multiply the fractions:
84 * x = 72 * y
Now we can simplify the equation further:
12x = 14y
So, the missing values are in the ratio 12:14, which means the missing values can be represented by any pair of numbers in this ratio. Some possible values for x and y could be 18 and 26, as given in the options. Therefore, the correct answer is:
18; 26