1 answer
(click or scroll down)
Bot GPT-4o To evaluate the expression \(3ab + 4c - 5\) for given values of the variables, we need to substitute the values of \(a\), \(b\), and \(c\) into the expression and perform the arithmetic operations.
### 1. For \(a = 9\), \(b = 2\), \(c = \frac{1}{2}\):
Substitute the values into the expression:
\[3ab + 4c - 5\]
Calculate \(3ab\):
\[3(9)(2) = 3 \cdot 9 \cdot 2 = 54\]
Calculate \(4c\):
\[4\left(\frac{1}{2}\right) = 4 \cdot \frac{1}{2} = 2\]
Now, add these results and subtract 5:
\[54 + 2 - 5 = 56 - 5 = 51\]
So, the value of the expression for \(a = 9\), \(b = 2\), \(c = \frac{1}{2}\) is \(51\).
### 2. For \(a = 8\), \(b = \frac{3}{4}\), \(c = 7\):
Substitute the values into the expression:
\[3ab + 4c - 5\]
Calculate \(3ab\):
\[3(8)\left(\frac{3}{4}\right) = 3 \cdot 8 \cdot \frac{3}{4} = 3 \cdot 2 \cdot 3 = 18\]
Calculate \(4c\):
\[4(7) = 4 \cdot 7 = 28\]
Now, add these results and subtract 5:
\[18 + 28 - 5 = 46 - 5 = 41\]
So, the value of the expression for \(a = 8\), \(b = \frac{3}{4}\), \(c = 7\) is \(41\).
### 3. For \(a = 12\), \(b = 0.25\), \(c = 5\):
Substitute the values into the expression:
\[3ab + 4c - 5\]
Calculate \(3ab\):
\[3(12)(0.25) = 3 \cdot 12 \cdot 0.25 = 3 \cdot 3 = 9\]
Calculate \(4c\):
\[4(5) = 4 \cdot 5 = 20\]
Now, add these results and subtract 5:
\[9 + 20 - 5 = 29 - 5 = 24\]
So, the value of the expression for \(a = 12\), \(b = 0.25\), \(c = 5\) is \(24\).
Summarizing the results:
1. For \(a = 9\), \(b = 2\), \(c = \frac{1}{2}\), the value is \(51\).
2. For \(a = 8\), \(b = \frac{3}{4}\), \(c = 7\), the value is \(41\).
3. For \(a = 12\), \(b = 0.25\), \(c = 5\), the value is \(24\).