Question
Evaluate the expression when \( a=5 \) and \( b=7 \) \( \frac{5 b+a^{2}}{a} \)
Ask by Riley Ellis. in the United States
Feb 27,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The expression evaluates to 12.
Solution
To evaluate the expression (5b + a²)/a with a = 5 and b = 7, follow these steps:
1. Substitute the given values into the expression:
(5*7 + 5²) / 5
2. Calculate the numerator:
5*7 = 35
5² = 25
35 + 25 = 60
3. Divide the sum by 5:
60 / 5 = 12
Thus, the evaluated expression equals 12.
Answered by UpStudy AI and reviewed by a Professional Tutor
Like
error msg
Explain 
Simplify this solution Bonus Knowledge
To evaluate the expression \( \frac{5b + a^{2}}{a} \) when \( a=5 \) and \( b=7 \), we start by substituting the values into the expression. First, calculate \( a^2 \): \[ a^2 = 5^2 = 25. \] Next, substitute \( b = 7 \): \[ 5b = 5 \times 7 = 35. \] Now, substitute both values into the expression: \[ 5b + a^2 = 35 + 25 = 60. \] Finally, we divide by \( a \): \[ \frac{60}{5} = 12. \] Thus, the evaluated expression is: \[ \boxed{12}. \]
