Hat sizes are determined by measuring the circumference of the head in either inches or centimeters?

use ratio and proportions to complete the following table

Hat size =7 Head circumference inches = 22 and Centimeters =56

and If hat size was 6 3/4 Head circumference in inches would = ? and in centimeters would = ?

6 3/4 : x = 7 : 22

7x = 148.5
x = 21.21 inches

Go ahead and do the same thing for the circumference in centimeters -- remembering that the answer will be a little less than 56.

We'll be glad to check your answer.

C / 6.75 = 22in / 7, C = 6.75*22/7 =21in

C / 6.75 = 56 / 7, C = 6.75*56/7 = 54cm

To complete the table using ratio and proportions, we need to use the given information to establish a relationship between hat size and head circumference in both inches and centimeters.

From the provided data, we can see that when the head circumference is 22 inches, the hat size is 7. This gives us the following ratio:

Hat Size : Head Circumference (inches) = 7 : 22

To find the head circumference when the hat size is 6 3/4, we can set up a proportion using the established ratio:

7/22 = 6 3/4/x

To solve this proportion, we can cross-multiply:

7 * x = 22 * (27/4)
7x = 594/4
7x = 148.5

Finally, solve for x by dividing both sides of the equation by 7:

x = 21.2142857

Therefore, when the hat size is 6 3/4, the head circumference in inches would be approximately 21.21 inches.

To find the corresponding head circumference in centimeters, we can use the following conversion: 1 inch = 2.54 centimeters.

Converting the head circumference of 21.21 inches to centimeters:

21.21 inches * 2.54 cm/inch = 53.8654 cm

So, when the hat size is 6 3/4, the head circumference in centimeters would be approximately 53.87 cm.