The scale factor for area is the square of the scale factor for linear dimensions. If linear dimensions are scaled up by a factor of 10, the area is scaled up by a factor of 10² = 100.
The area of the larger box is 100×432 cm² = 43,200 cm².
There was a total of 71,115 people who attended the different events in the arena for the past two months,
The estimated average ticket price is $ 21.15.
We need to solve for the estimated arena's ticket sale income and the solution is shown below:
Ticket Sale Income = 71, 115 * $21.15
Ticket Sale Income = $1,504,082
After modelling the mathematical statement and solving its equivalent mathematical relation, we get x = -36.
<h3>What is Equation Modelling?</h3>
Equation modelling is the process of writing a given mathematical statement in the form of a numeric mathematical expression taking into considerations the operations, constants and other variables.
Given in the question is a number such that twice the difference of a number and 9 is equal to three times the sum of the number and 6.
Assume that the number is x. Now, we will model the equation and solve for x. According to the question, the following mathematical relation represents the statement-
2(x - 9) = 3(x + 6)
2x - 18 = 3x + 18
x = - 36
Therefore, the number is -36.
To solve more questions on Equation modelling, visit the link below-
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U² + 6u - 27
u² + 9u - 3u - 27
(u - 3)(u + 9)
In this equation x = 49.
In order to find this, follow the order of operation of solving equations.
1/7x - 5 = 2 -----> Add 5 to both sides
1/7x = 7 ----> Multiply both sides by 7
x = 49
