Respuesta :

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]

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