Answer:
D. 18.68
Step-by-step explanation:
[tex]27\div \frac{5}{3}-6+53\times (\frac{2}{5})^2[/tex]
Applying PEMDAS as order of operations.
Solving the exponents first [tex][(\frac{2}{5})^2=\frac{4}{25}][/tex]
[tex]=27\div \frac{5}{3}-6+53\times \frac{4}{25}[/tex]
Multiplying [tex][53\times \frac{4}{25}=8.48][/tex]
[tex]=27\div \frac{5}{3}-6+8.48[/tex]
Dividing [tex][27\div \frac{5}{3}=16.2][/tex]
[tex]=16.2-6+8.48[/tex]
Adding and subtracting.
[tex]=18.68[/tex]
