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3 years ago

WILL MARK BRAINLIEST!!! HELP!

Mathematics

1 answer:

Virty [35]3 years ago

8 0

Answer:

d) x=4

Step-by-step explanation:

$\sqrt{x} +5 = \sqrt{x + 45}$

$(\sqrt{x} +5)^{2} = (\sqrt{x + 45})^{2}$

$x + 10\sqrt{x} +25 = x + 45$

$10\sqrt{x} = 20$

divide 10 in both sides

$(\sqrt{x}){2} = (2){2}$

x=4

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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

5 0

3 years ago

How do i write 11 5/8 as an improper fraction

FinnZ [79.3K]

11 5/8 as a improper fraction

1) Simplify Fraction
⇒ Multiply denominator with whole number
8 x 11 = 88

⇒ Answer of multiplication and add the numerator
88 + 5 = 93

93/8 is improper Fraction.

8 0

3 years ago

Read 2 more answers

Which linear inequality is represented by the graph?

Tamiku [17]

Answer:

Option (4)

Step-by-step explanation:

From the graph attached,

A dotted line passes through two points (3, 1) and (-3, -3)

Let the equation of the given line is,

y = mx + b