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bezimeni [28]
3 years ago
12

Light travels at 3.0 x 108 km/s. How far does light travel in 5 minutes? A) 1.5 x 1010 km B) 1.5 x 1011 km C) 9.0 x 109 km D) 9.

0 x 1010 km
Mathematics
1 answer:
MaRussiya [10]3 years ago
4 0
<span>D) 9.0 x 10^10 km This is more an exercise in handling scientific notation than anything else. Since we have the distance that light travels in 1 second and we want to calculate how far it travels in 5 minutes, we must first calculate how many seconds are in 5 minutes. Simply multiplying 5 by 60 gives us 300 seconds. Now we need to multiply 300 by 3.0x10^8 km. So 300 * 3.0x10^8 = ? We could first convert 300 into scientific notion, but it's easier to just leave it along and assume that it's 300 x 10^0. So 300 times 3 is 900. And since 0 plus 8 is 8, we have as the answer: 900 x 10^8 But we're not done. The significand has to be greater than or equal to 1 and less than 10. So let's divide 900 by 100 and add 2 to the exponent. So we get 9 x 10^10 Finally, since our data had 2 significant figures, our result should have that as well. So let's add the 2nd digit getting: 9.0 x 10^10 So we know that light travels 9.0x10^10 km in 5 minutes, and that answer matches option "D" from the available choices.</span>
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Step-by-step explanation:

1. We can write the equations by listing the contents of the hangar and using an equal sign to show the balance between left side and right side. It can work well to put left side contents of the hangar on the left side of the equal sign.

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2. B: We can subtract 3 from both sides of the hangar (and equation) to find the value of x.

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D: We can divide both sides of the hangar by 2, splitting the content into two equal parts. Then one of those parts can be removed from each side.

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3. The found values will keep the hangar in balance when they are substituted for the corresponding variables.

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