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Viktor [21]
3 years ago
15

Solve 30x -12,000 less than or equal to 980

Mathematics
1 answer:
Lyrx [107]3 years ago
6 0

Answer:

\large\boxed{x\leq432\dfrac{2}{3}\to x\in\left(-\infty,\ 432\dfrac{2}{3}\right]}

Step-by-step explanation:

30x-12,000\leq980\qquad\text{add 12,000 to both sides}\\\\30x-12,000+12,000\leq980+12,000\\\\30x\leq12,980\qquad\text{divide both sides by 30}\\\\x\leq\dfrac{12,980}{30}\\\\x\leq\dfrac{1,298}{3}\\\\x\leq432\dfrac{2}{3}

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The answer is:  " 11 " .
____________________________________________________
            →     " x  =  11  "  .
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Explanation:
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Set up the ratio/ proportion as a fraction:

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→ The "cm" units cancel out; since:  "cm/cm = 1 " ; 

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→ Rewrite as:  \frac{1}{8} = \frac{5}{3x + 7} ;

Now, we can "cross-multiply" :
__________________________________________________

<u>Note</u>:  Given: \frac{a}{b} = \frac{c}{d} ;  ad = bc ; 
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As such:      
 
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Subtract "7" from each side of the equation:

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</span>
to get:  

   → 3x = 33 ; 

Now, divide each side of the equation by "3" ; 
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to get: 
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   →    " x = 11 " .
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