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GREYUIT [131]
3 years ago
9

Twice the sum of a number and 3 is equal to three times the difference of the number and 3

Mathematics
2 answers:
lana66690 [7]3 years ago
7 0
<span>Twice the sum of a number and 3 = 2(n + 3)
</span><span>three times the difference of the number and 3 = 3(n - 3)
so
</span><span>Twice the sum of a number and 3 is equal to three times the difference of the number and 3:
</span>2(n + 3) = 3(n - 3)
2n + 6 = 3n - 9
n = 15

answer
2(n + 3) = 3(n - 3)
n = 15
bearhunter [10]3 years ago
4 0
Hi Hailey!

2(x + 3) = 3(x - 3)

Explanation:
> Twice translated to mathematical terms is x 2. 

> Sum is the result of the operation addition.

> Variables stand for an unnamed or unknown number(s). 'A number' indicates that we don't know what number it is exactly, therefore it'll be represented as a variable. 

> Equal to indicates the equality sign, thus making this an equation.

> Three times = x 3

> Difference is the result of the operation subtraction.

>  Multiplication goes before addition and subtraction in the PEMDAS rule, however parenthesis comes before multiplication. The x + 3 and x - 3 are in parentheses because we need the sum and difference between x and 3 first before multiplying it.
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Which expression is equivalent to the expression shown below?
posledela
The correct answer is:  [D]: " (-5 \frac{1}{4})x − \frac{1}{2}" .
_________________________________________________________

Explanation:

_________________________________________________________

 " -1/2(-3/2x + 6x + 1) −<span> 3x " ;

=  (-1/2 * -3/2 x) + (-1/2 * 6x) + (-1/2 * 1) </span>− <span>3x ; 


=   [ (-1 *-3) /(2*2)] x + (-3x) + (-1/2) ] </span>− <span>3x ; 

=   [ (3/4)x </span>− 3x − (1/2) ] −<span> 3x ; 

=   </span>(3/4)x − 3x − (1/2) − 3x ; 

= ?? ;   →  Combine the "like terms" ; 

           → "(3/4)x − 3x − 3x " =   ?? ;

                         → "(3/4)x − 3x = "(-9/4)x";

                         → "(-9/4)x − 3x = "(-21/4)x "  =  " (-5 \frac{1}{4})x " ;  

 →  The answer is:  " (-5 \frac{1}{4})x − \frac{1}{2} " ;  
___________________________________________________
 →   which is
:
___________________________________________________ 
 →   Answer choice:  [D]:  " (-5 \frac{1}{4})x − \frac{1}{2} " .
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Step-by-step explanation:

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