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3 years ago

6(x-5) = 5(x+5)

Mathematics

1 answer:

Mariana [72]3 years ago

4 0

Part 1:

6(x-5) = 5(x+5) (x = 55)

4y + 2 (-3 + 2y) = 1-y (x = 7/9)

Part 2:

4(a-6) = 8a - (4a-24) (No Solution)

4(2x-8) = 8(x-8) (No Solution)

2(3x-3) = -6x-6 (Identity (x = 0))

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A conservative estimate of the number of stars in the universe is 6 x 10^22. The average human can see about 3,000 stars at nigh

Ilia_Sergeevich [38]

$2 \times 10^{19}$ times more stars are there in universe compared to human eye can see

<h3><u>Solution:</u></h3>

Given that, conservative estimate of the number of stars in the universe is $6 \times 10^{22}$

The average human can see about 3,000 stars at night with only their eyes

To find: Number of times more stars are there in the universe, compared to the stars a human can see

Let "x" be the number of times more stars are there in the universe, compared to the stars a human can see

Then from given statement,

$\text{Stars in universe} = x \times \text{ number of stars human can see}$

<em><u>Substituting given values we get,</u></em>

$6 \times 10^{22} = x \times 3000\\\\x = \frac{6 \times 10^{22}}{3000}\\\\x = \frac{6 \times 10^{22}}{3 \times 10^3}\\\\x = 2 \times 10^{22-3}\\\\x = 2 \times 10^{19}$

Thus $2 \times 10^{19}$ times more stars are there in universe compared to human eye can see

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