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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The total amount Serena earns is the sum of her regular wage and the tips. The amount she earns from the wage is equal to 9h. This total should be more than or equal to $110. This is mathematically expressed as,
9h + 15 ≥ 110
X is equal to 8
Y is equal to 0
Answer: 70 feet
explanation: 14/2=7 7x10=70
