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1 year ago

Solve for x. 1/2x + 3 = 2/3x + 1

Mathematics

1 answer:

makvit [3.9K]1 year ago

5 0

Answer:

x = 12

Step-by-step explanation:

$\frac{1}{2}$ x + 3 = $\frac{2}{3}$ x + 1

multiply through by 6 ( the LCM of 2 and 3 ) to clear the fractions

3x + 18 = 4x + 6 ( subtract 3x from both sides )

18 = x + 6 ( subtract 6 from both sides )

12 = x

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3 years ago

#9. Solve: 8x + 5 = 3x + 15 X = 4 x = 2 x = 20/11 x = 20

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Answer:

x = 2

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3 years ago

If the geometric mean of a and 34 is 6 sqrt(17) find the value of a

Alborosie

Using the geometric mean concept, it is found that the value of a is 18.

----------------------

The geometric mean, of a data-set of n elements, $(n_1, n_2, ..., n_n)$ , is given by:

$G = \sqrt[n]{n_1 \times n_2 \times ... \times n_n}$

That is, the nth root of the multiplication of all elements.

----------------------

In this question:

Two elements(n = 2), a and 34.
$G = 6\sqrt{17}$

Thus:

$\sqrt{34a} = 6\sqrt{17}$

We find the square of each side, so:

$(\sqrt{34a})^2 = (6\sqrt{17})^2$

$34a = 36\times17$

Simplifying both sides by 17:

$2a = 36$

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The value of a is 18.

A similar example is given at brainly.com/question/15010240

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3 years ago

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