Answer:
sometimes
Step-by-step explanation:
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: x=5/3, -1. Good luck. Hope this suffices.
Explanation for x=-1: |9x-3|=12. Lets take the absolute value brackets away for a sec. Add 3 to both sides 9x-3+3=-12+3, simplify: 9x=-9, divide both sides by nine:9x/9=-9/9. And that means that x=-1.
Explanation for x=5/3: |9x-3|=12. Add 3. 9x-3+3=12+3. Simplify: 9x=15. Divide both sides by 9. 9x/9=15/9. Simplify: x=5/3
Obasi earns 150% of his regular hourly wage while working overtime.
Let us convert percentage into fraction first:
To convert a percentage into fraction we need to use the following formula:
a%
Here, he earns 150% of his hourly wage while working overtime:
So,
150%=
Obasi earns
of his hourly earnings or 1.5 times of his hourly earnings while working overtime.
If you can use a calculator, enter (4/1/4)/(4/1/2) and you will get 1/2