Problem 19 - Elementary Algebra

Question

For the following problems, use the order of operations to find each value. $$\frac{(1+16-3)}{7}+5(12)$$

Step-by-Step Solution

Answer

Question: Evaluate the expression \(\frac{(1+16-3)}{7}+5(12)\). Answer: 62.

Step 1: Evaluate the expression inside the parentheses

Calculate the value of the expression \((1+16-3)\). To do this, add 1 and 16, then subtract 3: $$1+16-3 = 17-3 = 14$$

Step 2: Divide the result of Step 1 by 7

Next, divide the result from Step 1 by 7: $$\frac{14}{7} = 2$$

Step 3: Multiply 5 by 12

Now, multiply 5 by 12: $$5(12) = 60$$

Step 4: Add the results of Steps 2 and 3

Finally, add the results from Steps 2 and 3 to get the final result: $$2 + 60 = 62$$ So, the evaluated value of the given expression is \(62\).