Answer: [tex]54[/tex]
Step-by-step explanation:
Given the following expresion provided in the exercise:
[tex]10m+\frac{n^2}{4}[/tex]
You can follow these steps in order to evaluate it when [tex]m=5[/tex] and [tex]n=4[/tex]:
1. You need to substitute [tex]m=5[/tex] and [tex]n=4[/tex] into the given expression:
[tex]10(5)+\frac{(4)^2}{4}[/tex]
2. Now you can solve the mutiplication:
[tex]=50+\frac{(4)^2}{4}[/tex]
3. Since [tex]4^2=4*4[/tex], you get:
[tex]=50+\frac{16}{4}[/tex]
4. You must solve the division. Divide the numerator 16 by the denominator 4. Then:
[tex]=50+4[/tex]
5. And finally, you must solve the addition. So, you get this result:
[tex]=54[/tex]