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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Let us solve this system of equations by using the elimination method. Adding the 2 equations, we get
9x + 5y - 9x + 4y = -33 + 6
9y = -27
y = -3
Substituting this value of y in the first equation, we get
-9x + 4(-3) = 6
-9x - 12 = 6
9x + 12 = -6
9x = -18
x = -2
Therefore, x = -2, and y = -3. Hope this helps! If you have any questions, feel free to ask.
Answer:
Oliver completed his training work in 50.25 hours
Step-by-step explanation:
we know that
1 day= 24 hours
1 hour=60 minutes
we have
2 days, 2 h, and 15 min
<u><em>Convert days to hours</em></u>
2 days=2(24)=48 hours
<u><em>Convert minutes to hour</em></u>
15 min=15(1/60)=1/4=0.25 h
so
2 days, 2 h, and 15 min=(48)+(2)+(0.25)=50.25 h
therefore
Oliver completed his training work in 50.25 hours
Hello there! So, the item has a 20% discount, but Juan still had to pay 80% for the item. To find the amount he paid, all you have to do is multiply the price by the percentage. We multiply by 80%, because he still had to pay the portion of the price. 80 * 80% (0.8) is 64. The. Juan paid $64.
4 units wide would be the answer bc the deminsions of the legs wouldn't change for a rectangle or a triangle
