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Nadya [2.5K]
1 year ago
12

Twice the difference of a number and 9 is equal to three times the sum of the number and 6. Find the number

Mathematics
1 answer:
bezimeni [28]1 year ago
8 0

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-

brainly.com/question/13536824

#SPJ1

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URGENT HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Nimfa-mama [501]
The mistake she made was timesing the 6 by the -7.5 as there is no x after the 6
Therefore:

-3.8(-7.5) +6
28.5+6 =34.5
5 0
3 years ago
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Consider this right triangle with given measures what is the unknown length
DIA [1.3K]

Answer:

b = 9

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

b² + 12² = 15²

b² + 144 = 225 ( subtract 144 from both sides )

b² = 81 ( take the square root of both sides )

b = \sqrt{81} = 9

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3 years ago
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lukranit [14]

Answer:

53

Step-by-step explanation:

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5 0
3 years ago
Rounded to the nearest hundredth, what is the positive solution to the quadratic equation 0 = 2x2 + 3x – 8?
zmey [24]
2x² + 3x -8 = 0

a = 2 , b = 3 , c = -8
So..
D = b²-4ac = 9 + 64 = 73

for bigger solution , use x = -b + √D / 2a
For smaller solution, use x = -b - √D / 2a

So
= -3 + √73 / 2. 2
= 1/4 (√73 -3)

Hopefully helpfull.. ^_^
8 0
3 years ago
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1/2x+5=10 what is the number of the variable
ki77a [65]
I think what your asking for is that x=10
7 0
3 years ago
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