Answer:
10
Step-by-step explanation:
Given expression:
20 - [tex]\frac{15 + 3(5)^{2} }{5^{2} - 4^{2} }[/tex]
To solve this problem, we use the order of operation:
P - Parentheses
E - exponents
M - multiplication
D - division
A - Addition
S - Subtraction
Now solve the parentheses first;
= 20 - [tex]\frac{15 + 3x 25}{5^{2} - 4^{2} }[/tex]
= 20 - [tex]\frac{15 + 75}{5^{2} - 4^{2} }[/tex]
Now solve the exponents:
= 20 - [tex]\frac{15 + 75}{25 - 16}[/tex]
Now solve the division:
= 20 - [tex]\frac{90}{9}[/tex]
= 20 - 10
= 10
