Evaluate 10 m+(n^(2))/(4) when m=5 and n=4.

Substitute values into expression: Substitute the given values for m and n into the expression. Expression: 10m + (n^2)/4 Substitute m = 5 and n = 4. Expression after substitution: 10(5) + (4^2)/4Calculate first term: Calculate the first term of the expression, 10 times m. 10 times 5 equals 50. Calculation: 10 * 5 = 50Calculate second term: Calculate the second term of the expression, n squared divided by 4. First, square n, which is 4. Calculation: 4^2 = 16Divide second term by 4: Now, divide the result of n squared by 4. Divide 16 by 4. Calculation: 16 / 4 = 4Add first and second term: Add the results of the first term and the second term together to get the final answer. Add 50 and 4. Calculation: 50 + 4 = 54

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Evaluate
10 m+(n^(2))/(4) when
m=5 and
n=4.

Evaluate $10 m + \frac{n^2}{4}$ when $m=5$ and $n=4$ .

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Algebra 1

Evaluate variable expressions involving rational numbers

Full solution

Q. Evaluate

10 m + \frac{n^2}{4}

when

m=5

and

n=4

Substitute values into expression: Substitute the given values for $m$ and $n$ into the expression. $\newline$ Expression: $10m + \frac{n^2}{4}$ $\newline$ Substitute $m = 5$ and $n = 4$ . $\newline$ Expression after substitution: $10(5) + \frac{4^2}{4}$
Calculate first term: Calculate the first term of the expression, $10 \times m$ . $\newline$ $10 \times 5 = 50$ . $\newline$ Calculation: $10 \times 5 = 50$
Calculate second term: Calculate the second term of the expression, $n$ squared divided by $4$ . First, square $n$ , which is $4$ . Calculation: $4^2 = 16$
Divide second term by $4$ : Now, divide the result of $n^2$ by $4$ . $\newline$ Divide $16$ by $4$ . $\newline$ Calculation: $16 / 4 = 4$
Add first and second term: Add the results of the first term and the second term together to get the final answer. $\newline$ Add $50$ and $4$ . $\newline$ Calculation: $50 + 4 = 54$