<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>
Answer:
<h2><em><u>x = 4</u></em></h2>
Explanation:
10 + 6x + 2x - 7 = 35
- Add Similar Elements: 6x + 2x = 8x
10 + 8x - 7 = 35
8x + 10 - 7 = 35
8x + 3 = 35
- Subtract 3 From Both Sides
8x + 3 - 3 = 35 - 3
8x = 32
8x / 8 = 32 / 8
<h2><u><em>x = 4</em></u></h2>
Convert the mixed number 2 1/4 into an improper fraction: 9/4.
Then multiply this 9/4 by 3: 27/4, or 6 3/4.
58.96 or 1887/32 id the answer
