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Genrish500 [490]
3 years ago
6

The distance light travels in one year is known as a light year. A light year is equal to 5.87 × 1012 miles. The closest that Ea

rth ever gets to Jupiter is 3.65 × 108 miles. What is a correct representation of the number of years it will take light to travel from Earth to Jupiter at this distance? Check all that apply.
Mathematics
1 answer:
pashok25 [27]3 years ago
4 0

Answer:

6.21\times 10^{-5}\ \text{light years}

Step-by-step explanation:

The distance light travels in one year is known as a light year.

1\ \text{light year}=5.87\times 10^{12}\ \text{miles}

The closest that Earth ever gets to Jupiter is 3.65\times 10^8\ \text{miles}

3.65\times 10^8\ \text{miles}=\dfrac{1}{5.87\times 10^{12}}\times 3.65\times 10^8\ \text{light years}\\\\=6.21\times 10^{-5}\ \text{light years}

Hence, the distance it will take light to travel from Earth to Jupiter at this distance is 6.21\times 10^{-5}\ \text{light years}

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masha68 [24]

Answer:

The fraction is \frac{4}{6}

Option (B) is correct.

3n-2d=0  and 4n+8=3d+6

Step-by-step explanation:

Let n denotes numerator and d denotes denominator of the fraction.

Given : The ratio of the numerator to the denominator of a fraction is 2 to 3.

That is \frac{n}{d}=\frac{2}{3}

Cross multiply , we get,

3n=2d

Or, 3n-2d=0   ........(1)

Also, given : . If both the numerator and the denominator are increased by 2, the fraction becomes 3/4

That is \frac{n+2}{d+2}=\frac{3}{4}

Cross multiply , We get,

4{n+2}={3}{d+2}

4n+8=3d+6  .........(2)

3d-4n=2  .......(3)

Thus, from (1) and (2) , option (B) follows.

Solving equation (1) and (3) to get the original fraction using elimination method,

3n - 2d = 0    ............(1)

and 3d - 4n = 2       .........(3)

Multiply equation (1) by 3 , we get ,

9n - 6d = 0  ..........(4)

Multiply equation (3) by 2 , we get ,

-8n + 6d = 4 ..........(5)

Adding (4) and  (5) , we get,

9n - 6d -8n + 6d = 4 + 0

⇒ n = 4

Put n = 4 in (1), we get

3n - 2d = 0 ⇒ 3(4) - 2d = 0 ⇒ 12 -2d = 0  ⇒  12 = 2d ⇒ d = 6

so, the numerator is 4 and  the denominator is 6.

Thus, the fraction is \frac{4}{6}


6 0
3 years ago
Find the area of the figure.
Studentka2010 [4]

Answer:

The area is 30

Step-by-step explanation:

because its length x width x height

7 0
3 years ago
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zloy xaker [14]
So the answer is, x1=-2, x2=9
x^2-7x=18
x^2-7x-18=0
x^2+2x-9x-18=0
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(x+2)*(x-9)=o
x+2=0
x-9=0
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3 0
3 years ago
A new bagel store opened. The first day 15 customers entered the store. The number of customers that enter the store triples eac
Lelu [443]

Answer: it triples by 3 so 15,45, 135

Step-by-step explanation: this is by 3 because it goes on by 15,45,135

3 0
3 years ago
Peter was given 40 words to spell to qualify for a prize. He must spell at least 90% of those words correctly. At least how many
AnnZ [28]

Answer:

He should have to spell at least 36 of these words correctly.

Step-by-step explanation:

40 words.

He must spell at least 90% of those words correctly.

At least how many words should he have to spell correctly to get the prize?

90% of 40. So

0.9*40 = 4*9 = 36

He should have to spell at least 36 of these words correctly.

6 0
3 years ago
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