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Sati [7]
3 years ago
8

1.5/4x+1=0.4/x+4 PLEASE HELP ITS PROPORTIONS

Mathematics
1 answer:
Serhud [2]3 years ago
5 0

Answer:

Proportion states that the two fractions or ratios are equal

Given the equation:  \frac{1.5}{4x+1} = \frac{0.4}{x+4}

By cross multiply we get;

1.5(x+4) = 0.4(4x+1)

Using distributive property; a\cdot (b+c) = a\cdot b+ a\cdot c

1.5x + 6= 1.6x + 0.4

Subtract 0.4 from both sides we get;

1.5x +5.6= 1.6x

Subtract 1.5x from both sides we get;

5.6= 0.1x

Divide both sides by 0.1 we get;

x = \frac{5.6}{0.1}

Simplify:

x = 56

Therefore, the value of x that satisfy the equation \frac{1.5}{4x+1} = \frac{0.4}{x+4} is, 56

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Solve: 2cos(x)-square root 3=0 for 0 less than x less than 2 pi
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Answer:

The general solution of   cos x = cos(\frac{\pi }{6})   is  

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The general solution values  

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Step-by-step explanation:

Explanation:-

Given equation is  

                              2cosx-\sqrt{3} =0  for 0

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Dividing '2' on both sides, we get

                             cos x =\frac{\sqrt{3} }{2}

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<em>General solution of cos θ = cos ∝ is θ = 2nπ±∝</em>

<em>Now The general solution of   </em>cos x = cos(\frac{\pi }{6})<em>   is  </em>

<em>                                                 x = 2nπ±</em>\frac{\pi }{6}<em></em>

put n=0

x = - \frac{\pi }{6}  and x = \frac{\pi }{6}

Put n=1  

x = 2\pi +\frac{\pi }{6} = \frac{13\pi }{6}

x = 2\pi -\frac{\pi }{6} = \frac{11\pi }{6}

put n=2

x = 4\pi +\frac{\pi }{6} = \frac{25\pi }{6}

x = 4\pi -\frac{\pi }{6} = \frac{23\pi }{6}

And so on

But given 0 < x< 2π

The general solution values  

                                 x = - \frac{\pi }{6}  and x = \frac{\pi }{6}

                               

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