Use Tables of Equivalent Ratios Quick Check 5 of 55 of 5 Items Question 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 12; 14 12; 14 432; 504 432; 504 18; 26 18; 26 22; 34
The missing values in the table can be found by analyzing the ratios between the numbers.
The ratio between 8 and 10 is 48 and 60. Dividing 48 by 8 gives us 6 and dividing 60 by 10 gives us 6 as well. We can conclude that the ratio is 6:6 or 6/6.
Using this ratio, we can find the missing values:
To find x, we multiply 10 by 6, which gives us 60.
To find y, we multiply 72 by 6, which gives us 432.
To find 84, we multiply 72 by 6, which gives us 432 as well.
Therefore, the missing values are x = 60, y = 432, and 84 = 432.
To find the missing values in the table, we need to analyze the ratios.
Looking at the first row, we can see that the ratio of 8 to 48 is equivalent to the ratio of 10 to 60.
This means that the ratio between the first and second numbers is the same as the ratio between the third and fourth numbers.
Using this information, we can calculate the missing value for x.
The ratio of 10 to 60 is the same as the ratio of x to 72.
Setting up a proportion, we have:
10/60 = x/72
Cross-multiplying, we get:
60x = 720
Dividing both sides by 60, we find that x = 12.
Similarly, we can calculate the missing value for y.
The ratio of 10 to 60 is the same as the ratio of 72 to y.
Setting up a proportion, we have:
10/60 = 72/y
Cross-multiplying, we get:
10y = 4320
Dividing both sides by 10, we find that y = 432.
Therefore, the missing values are x = 12 and y = 432.
To find the missing values in the table, we need to analyze the ratios of the given values. Ratios can be calculated by dividing one number by another.
Looking at the ratios between the first two numbers in each row, we see that 8 ÷ 48 is equal to 10 ÷ 60, which simplifies to 1/6. So, the ratio for the first column is 1/6.
Similarly, looking at the ratios between the second and third numbers in each row, we see that 48 ÷ 10 is equal to 60 ÷ x. Since we know the ratio is 1/6, we can set up the following equation:
48 ÷ 10 = 60 ÷ x
4.8 = 6 ÷ x
Cross-multiplying, we get:
4.8x = 6
Dividing both sides by 4.8, we find:
x = 6 ÷ 4.8 = 1.25
Therefore, the missing value for x is 1.25.
Now, let's analyze the ratios for the third column. We can compare the ratios between the third and fourth numbers in each row:
10 ÷ 60 = 72 ÷ y
Again, using the known ratio of 1/6, we can set up the equation:
10 ÷ 60 = 72 ÷ y
0.1667 = 72 ÷ y
Cross-multiplying:
0.1667y = 72
Dividing both sides by 0.1667:
y = 72 ÷ 0.1667 = 431.9765 (approximately)
Therefore, the missing value for y is approximately 431.9765.
The options given for the missing values are:
A) 12; 14
B) 432; 504
C) 18; 26
D) 22; 34
By analyzing the ratios, we have determined that the correct missing values are 1.25 for x and approximately 431.9765 for y. None of the options listed match these values.