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.
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Answer:
-8265
Step-by-step explanation:
Answer:
The dimensions of rectangle are:
Width = 16 inches
Length = 106 inches
Step-by-step explanation:
Perimeter of rectangle = 244 inches
Let Width of rectangle = w
Length of rectangle = w+90
We need to find the dimensions (length and width) of the carpet
The formula used will be: 
Putting values and making equation:
So, we get w = 16
The width w = 16 inches
Now, finding length = w+ 90 = 16+90 = 106 inches
Therefore the dimensions of rectangle are:
Width = 16 inches
Length = 106 inches
Well, if it was out of 50, it would be 76%.
So the answer might be 50 questions total, but maybe there was 49 questions total.
I would probably go with 50 questions total.
Set up and solve an equation:
3(90-x) = (180-x). Then 270 - 3x = 180 - x, or 270 - 180 = 2x.
90 = 2x, so x = 45 deg.
Is this true? 3(90-45) = (180-45)? If so, x = 45 degrees is correct.
