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------------------------------------------------ A sporting event has 60,000 fans in attendance. Out of those fans, [tex]$65\%$[/tex] are females.

For A-C, select True or False for each expression that can be used to determine the total number of female fans in attendance.

A. [tex]\frac{65}{10} \times 60000[/tex]
True False

B. [tex]\frac{0.65}{100} \times 60000[/tex]
True False

C. [tex]\frac{65}{100} \times 60000[/tex]
True False

To find out how many female fans are in attendance at the sporting event, we need to calculate 65% of the 60,000 total fans.

Let's break down each expression provided in the options:

A. [tex]$\frac{65}{10} \times 60000$[/tex]

This expression is not correct for finding 65% of 60,000. The fraction [tex]$\frac{65}{10}$[/tex] would imply multiplying by 6.5, which does not represent 65%.

B. [tex]$\frac{0.65}{100} \times 60000$[/tex]

This expression converts 0.65 into a fraction out of 100. This does not correctly represent 65%, as 0.65 is already the decimal form of 65%. Therefore, this expression is not correct.

C. [tex]$\frac{65}{100} \times 60000$[/tex]

This expression correctly represents the process of finding 65% of 60,000. The fraction [tex]$\frac{65}{100}$[/tex] converts 65% into its decimal form (0.65) and then multiplies it by the total number of fans, 60,000. This accurately calculates the number of female fans.

So the correct expression is:

- A: False
- B: False
- C: True

With this, we find that there are a total of 39,000 female fans in attendance at the sporting event.