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Mkey [24]
3 years ago
9

What value of x makes the equation true 2 (6x-1) = -38

Mathematics
1 answer:
Anestetic [448]3 years ago
5 0

Answer:

<h3>\boxed{\bold{\boxed{ \sf{x =  - 3}}}}</h3>

Step-by-step explanation:

\sf{2(6x - 1) =  - 38}

Distribute 2 through the parentheses

⇒\sf{12x - 2 =  - 38}

Move constant to right hand side and change it's sign

⇒\sf{12x =  - 38 + 2}

Calculate

⇒\sf{12x =  - 36}

Divide both sides of the equation by 12

⇒\sf{ \frac{12x}{12}  =  \frac{ - 36}{12} }

Calculate

⇒\sf{x =  - 3}

Hope I helped!

Best regards!!

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A chemical company makes two brands of antifreeze. The first brand is 65% pure antifreeze, and the second brand is 90% pure anti
Murrr4er [49]

With amounts measured in gallons, let

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y = amount of 90% antifreeze

1 gal of the 65% brand contains 0.65 gal of pure antifreeze; x gal would contain 0.65x gal. Similarly, y gal of the 90% brand contains 0.90y gal of pure antifreeze.

To obtain 120 gal of 80% antifreeze solution (which contains 0.80•120 = 96 gal of pure antifreeze), we must have

x + y = 120 … … … … … [total volume of antifreeze solution]

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Solve the first equation for y :

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Substitute this into the second equation and solve for x :

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If x=1, then the series is a scaled harmonic series, which we know diverges.

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