hat sizes are determined by measuring the circumference of one's head in either inches or centimeters. Use ratio and proportion to complete the following table.
Hat size head to 1/5 in head cm
7 1/8 22 2/5 57
______ ______ 55
Someone please help! i am completely lost with this one
I cannot figure out your table. The columns don't line up.
To complete the table using ratio and proportion, we need to establish a relationship between head measurements in inches and centimeters.
First, let's convert the given head measurements from inches to centimeters. We know that 1 inch is approximately equal to 2.54 centimeters.
For the given value of 22 2/5 inches, we can convert it to decimal form as follows:
22 2/5 = 22 + (2/5) = 22 + 0.4 = 22.4 inches
To convert inches to centimeters, we multiply by the conversion factor:
22.4 inches * 2.54 centimeters/inch ≈ 56.896 centimeters ≈ 57 centimeters (rounded to the nearest whole number)
Now we can set up a proportion to find the missing values.
Let x represent the hat size for the second row, and y represent the head measurement in inches for the second row.
We know that 7 1/8 (the hat size in the first row) corresponds to 22.4 inches (the head measurement in inches for the first row). We can set up the following proportion:
7 1/8 : 22.4 inches = x : y inches
To solve the proportion, we can cross-multiply and solve for x:
(7 + 1/8) * y inches = 22.4 inches * x
57/8 * y inches = 22.4 inches * x
(57/8) / (22.4) = x / y
Now we can use the known value for y (55 inches) to find x:
(57/8) / 22.4 = x / 55
To solve for x, we cross-multiply:
x = (57/8) * (55) / 22.4
Calculating this expression, we find:
x ≈ 7.141
Since hat sizes are typically given as whole numbers, we can round 7.141 to the nearest eighth:
x ≈ 7 1/8
Therefore, the missing values in the table are:
Hat size head to 1/5 in head cm
7 1/8 22 2/5 57
7 1/8 ______ 55