A number that goes into the box to make the equation true include the following: D. 100.
In order to evaluate and solve this equation, we would have to apply the PEMDAS rule, where mathematical operations within the parenthesis (grouping symbols) are first of all evaluated, followed by exponent, and then multiplication or division from the left side of the equation to the right.
Lastly, the mathematical operations of addition or subtraction would be performed from left to right.
Note: Let the unknown number be x.
Based on the information provided, we solve the following mathematical equation by taking the square of both sides of the equation:
80.5 × 0.6 = 805 × 6 ÷ x
48.3 = 4830 ÷ x
48.3 = 4830/x
48.3x = 4830
x = 4830/48.3
x = 100