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Nadya [2.5K]
10 months 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]10 months 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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Given:

The  function that represents how the amount of fuel changes as a function of distance flown is

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The rate of change for this scenario.

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We have,

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On comparing (i) and (ii), we get

m=-0.9

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The number 0.1111... repeats forever; therefore, it is irrational. True or False.
Rasek [7]
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What is the value of 4.5 x 10^5 written in standard form?
soldier1979 [14.2K]

Answer:

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Step-by-step explanation: Let me know if this helped

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3 years ago
In circle O, the radius is 4, and the length of minor arc AB is 4.2 feet. Find the measure of minor arc AB to the nearest degree
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The formula for arc length is s=r*angle theta where s is the arc length, r is the radius, and angle theta is central angle formed by the arc in radians.

In this case, the angle would be s/r or 4.2/4  which is 1.05 radians. We have to convert this into degrees and so you would multiply 1.05 by (180/pi) which results in approximately 60 degrees. Remember, if you want to convert radians into degrees, the conversion factor is 180/pi and for degrees into radians, it is pi/180.

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Find the oth term of the geometric sequence 9, -18, 36, ...
Sphinxa [80]

Answer:

2304

Step-by-step explanation:

<u>Given :- </u>

  • A geometric sequence is given to us which is 9 , -18 , 36.

And we need to find out the 9th term of the sequence. Here firstly we should find the Common Ratio and then we can substitute the respective values in the formula to find the nth term of a geometric sequence .

<u>Common Ratio :- </u>

:\implies CR = -18÷ 9 = -2

<u>The </u><u>9</u><u> th term :- </u>

:\implies T_n = arⁿ - ¹

:\implies T_9 = 9× (-2) ⁹ - ¹

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