Forensic scientists can determine the approximate height that a person was by measuring the length of the femur (thigh bone). They use a formula to calculate the person’s height, based on the person’s race and gender. The formula for a Caucasian female is given by: height = 2.47f + 54.13, where f is the length of the femur in centimeters. To the nearest centimeter, how many centimeters long is the femur of a female who is 168 centimeters tall?

46 centimeters
90 centimeters
14 centimeters
469 centimeters

The length of the femur of a female with a height of 168 cm is; Option A: 45 centimeters.

We are given the formula for Caucasian female's height as;

H = 2.47f + 54.13

Where;

f is the femur length in cm.

H is height in cm

Thus, if a females height is 168 cm, then;

168 = 2.47f + 54.13

Using subtraction property of equality by subtracting 54.13 from both sides gives;

168 - 54.13 = 2.47f

113.87 = 2.47f

Using division property of equality, divide both sides by 2.47 to get;

113.87/2.47 = f

f ≈ 46 cm

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46 centimeters.

Step-by-step explanation:

First you need to plug in the numbers you have.

Your equation now is:

168 = 2.47f + 54.13.

You could use the process of elimination, or you could solve it algebraically.

168 = 2.47f + 54.13.

What you want to do is subtract 54.13 from both sides.

113.87 = 2.47f.

Now divide 2.47 from both sides.

46

step-by-step explanation:

x^2 -12x + 36 + y^2 = 36

x^2 + y^2 = 12x

r^2 = 12rcos(theta)

r = 12 cos(theta)

walter needs to make at least 5 more cookies but no more than 40. 5 ≤ x ≤ 40

step-by-step explanation:

20 ≤ x + 15 ≤ 55

subtract 15 from all parts

20-15 ≤ x + 15-15 ≤ 55-15

5 ≤ x ≤ 40

this means how many more cookies he has to make

walter needs to make at least 5 more cookies, but no more than 40 cookies; 5 ≤ x ≤ 40