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Zina [86]
3 years ago
9

N/5+0.6=2 solve for n

Mathematics
2 answers:
Pavlova-9 [17]3 years ago
5 0
Well, to solve this problem, you have to isolate x. The first step of doing this is subtracting 0.6 from each side to leave the equation as N/5=1.4. Then, you need to multiply both sides by 5 to find N. N/5*5=N, and 1.4*5=7. That leaves the equation as N=7, so the value of N is 7.
Hope this helps!
-Raiden
matrenka [14]3 years ago
3 0
The answer is:  " 7 "  . 
_________________________________________________
       →    " n = 7 " .
_________________________________________________

Explanation:
_________________________________________________

Given:  
_________________________________________________
" (n/5) + 0.6 = 2 " ;   Solve for "n" ;

Subtract "0.6" from EACH SIDE of the equation:

(n/5) + 0.6 − 0.6 = 2 <span>−0.6 ; 

to get:

(n/5) = 1.4 ; 

 Multiply EACH SIDE by "5" ; to isolate "n" on one side of the equation; 
                                                & to solve for "n" ;


5 * (n/5) = 1.4 * 5  ;

to get:
__________________________________________
   " n = 7 ".
__________________________________________ 

Method 2)
__________________________________________
</span>Given:  " (n/5) + 0.6 = 2 " ;   Solve for "n" ;<span>
   
Note that we have "fifths" (the "fraction, (n/5)" ;

           </span>→  <span>and:  "10ths" (the decimal, "0.6" = "6/10" ) ; 

Multiply the entire equation (both sides) by "10" ; to get rid of both the "fraction" and the "decimal" ; 

Note:  We choose "10"; since "10" is the highest "fraction" (that is represented by a "decimal value"; that is:  "6/10" ;  {i.e.,  "0.6 = 6/10" ; as aforementioned} ;
                                    </span>→ and since:  "5" is a factor of "10" ; 

So, multiplying the entire equation by "10"; will get rid of both the "fraction" AND the "decimal" values:

   →  10 * { (n/5) + 0.6) } = 2 * (10) ; 
___________________________________________________
Note the "distributive property" of multiplication:___________________________________________________a(b + c) = ab + ac ;
a(b – c) = ab – ac .___________________________________________________As such:  

  →  Consider the  "left-hand side" of the equation:
__________________________________________

   →  10 * { (n/5) + 0.6) } ;
 
                       =    [10 * (n/5) ] + [10 * 0.6] ; 

                       =    (10n / 5) + 6 ; 

                       =    (10/5)n + 6 ;

                       =     2n + 6  ;

So we rewrite the equation:

  →  2n + 6 =  2 * (10) ; 

Let us consider the "right-hand side of the equation: 

 →  2 * (10) = 20 .
________________________________________________
Rewrite the equation as:

  →  2n + 6 =  20 ;

Now, solve for "n" ;
________________________________________________
Variant # 1 ):
________________________________________________
   →  2n + 6 =  20 ;

Subtract "6" from EACH SIDE of the equation; as follows:

   →  2n + 6 − 6 = 20 <span>− 6 ; 

to get:  

   </span>→  2n = 14 ; 

Now, divide each side of the equation by "2" ; 
     to isolate "n" on one side of the equation; & to solve for "n" ;

   →  2n / 2 = 14 / 2 ; 

   →  " n = 7 ".
____________________________________________________
Variant # 1 ):
____________________________________________________
   →  2n + 6 =  20 ;
____________________________________________________
Divide the entire question by "2" ; to simplify; as follows:
____________________________________________________
   →  {2n + 6} / 2 =  20 / 2  ;

  →  (2n/2)  +  (6/2) =  (20/2 ) ; 

  →   n  +  3 = 10  ;

Subtract "3" from EACH SIDE of the equation;
       to isolate "n" on one side of the equation; & to solve for "n" ;

 
    →   n  +  3 − 3 = 10 <span>− 3 </span>; 

to get:

             →    " n = 7 " .
 _____________________________________________________ 
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Gnesinka [82]

Answer:

The equation of the line would be y = -5/2x - 1

Step-by-step explanation:

In order to find the equation of the line, we first need to find the slope of the original line. We can do that by solving for y.

5x + 2y = 12

2y = -5x + 12

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Now that we have a slope of -5/2, we know the new slope will be the same since parallel lines have the same slope. So we can use it along with the point in point-slope form to find the equation.

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3 years ago
Pierre wants to make tables and chairs. He has a total of 220 wooden boards and 760 nails. 13T+8C≤220 represents the number of t
Alisiya [41]

Answer:

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Step-by-step explanation:

13T+8C ≤ 220

Let us substitute 9 for T and 5 for C and check.

13(9) + 8(5) = 117 + 40

= 157 < 220

So, 220 wooden boards are sufficient to make 9 tables and 5 chairs.

48T+37C ≤ 760

Substitute 9 for T and 5 for C.

48(9)+37(5) = 432 + 185

= 617 < 760

So, 760 nails are sufficient to make 9 tables and 5 chairs.

Hence, Pierre has enough boards and nails to make 9 tables and 5 chairs.

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3 years ago
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kotykmax [81]

Answer:

cos(C) =\frac{40}{41}\\\\cos(C)=0.976

Step-by-step explanation:

To find the cos (C) we must use the cosine theorem.

The cosine theorem says that:

c^2 = a^2 +b^2 -2abcos(C)

In this case:

c=AB = 9

b=CA = 41

a=BC = 40

So

9^2 = 40^2 +41^2 -2(40)*(41)cos(C)

9^2- 40^2- 41^2 =-2(40)*(41)cos(C)

cos(C) = -\frac{9^2- 40^2- 41^2}{2(40)*(41)}

cos(C) =\frac{40}{41}\\\\cos(C)=0.976

7 0
3 years ago
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