Q36. - Algebra 2

Question

The amount of pollutants saved by riding a bicycle rather than driving a car is calculated by adding the organic gases, carbon monoxide, and nitrous oxides emitted. To find the pound of pollutants created by starting a typical car 10 times and driving it for 50 miles, find the value of expression  $\frac{\left(52.84\times 10\right)+\left(5.955\times 50\right)}{454}$

Step-by-Step Solution

Answer

Value of $\frac{\left(52.84\times 10\right)+\left(5.955\times 50\right)}{454}$ is  $1.82$

Step 1 - Order for simplification

To evaluate any expression involving more than one operation, follow the below order of operations:

• First evaluate expressions inside grouping symbols like parentheses ( ) or brackets [ ].
• Evaluate the exponents.
• Perform Multiplication and division from left to right.
• Perform addition and subtraction from left to right.

Step 2 - Simplify expression inside grouping symbol

To evaluate the value of the given expression, first simplify the expression inside the parenthesis as shown below

$\begin{array}{c}\frac{\left(52.84\times 10\right)+\left(5.955\times 50\right)}{454}=\frac{528.4+297.75}{454}\\ =\frac{826.15}{454}\end{array}$

Step 3 - Divide 826 . 15 by 454

Now, to simplify further divide the numbers to get

$\frac{826.15}{454}=1.82$

Thus, approximate value of $\frac{\left(52.84\times 10\right)+\left(5.955\times 50\right)}{454}$ is  $1.82$