Adkins Dunn
02/09/2024 · Elementary School
\( a-b \) If \( a^{*} b=a+b+\frac{a}{b} \), then value of \( 12^{*} 4= \) \( \begin{array}{llll}\text { (a) } 48 & \text { (b) } 19 & \text { (c) } 20 & \text { (d) } 2\end{array} \)
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Step-by-step Solution
To find the value of \( 12^{*} 4 \) using the operation defined by \( a^{*} b = a + b + \frac{a}{b} \), we will substitute \( a = 12 \) and \( b = 4 \) into the expression.
First, we calculate each component of the operation:
1. Calculate \( a + b \):
\[
12 + 4 = 16
\]
2. Calculate \( \frac{a}{b} \):
\[
\frac{12}{4} = 3
\]
Now, we can combine these results according to the operation definition:
\[
12^{*} 4 = 12 + 4 + \frac{12}{4} = 16 + 3 = 19
\]
Thus, the value of \( 12^{*} 4 \) is \( \boxed{19} \).
Quick Answer
The value of \( 12^{*} 4 \) is 19.
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