You can simplify a factor 2 in the first fraction:
![\dfrac{2e}{2n} = \dfrac{e}{n}](https://tex.z-dn.net/?f=%5Cdfrac%7B2e%7D%7B2n%7D%20%3D%20%5Cdfrac%7Be%7D%7Bn%7D)
And you can ignore the ones in the second:
![\dfrac{1w}{1n} = \dfrac{w}{n}](https://tex.z-dn.net/?f=%5Cdfrac%7B1w%7D%7B1n%7D%20%3D%20%5Cdfrac%7Bw%7D%7Bn%7D)
If two fractions have the same denominator, you can sum the numerators:
![\dfrac{e}{n}+\dfrac{w}{n} = \dfrac{e+w}{n}](https://tex.z-dn.net/?f=%5Cdfrac%7Be%7D%7Bn%7D%2B%5Cdfrac%7Bw%7D%7Bn%7D%20%3D%20%5Cdfrac%7Be%2Bw%7D%7Bn%7D)
<em>Question:</em>
<em>Daredevil Danny was cliff jumping. He jumped off a cliff that was 14.2 meters above the surface of the water. At the end of his jump, Danny was 2.3 meters below the surface of the water.
</em>
<em>The following equation describes this situation 14.2 + (-16,5) = -2.3
.</em>
<em>What does -16.5 tell us?</em>
<em></em>
Answer:
The displacement between his current position and his initial position
Step-by-step explanation:
Given
![Initial\ Position = 14.2m](https://tex.z-dn.net/?f=Initial%5C%20Position%20%3D%2014.2m)
![Final\ Position = -2.3m](https://tex.z-dn.net/?f=Final%5C%20Position%20%3D%20-2.3m)
![14.2 + (-16.5) = -2.3](https://tex.z-dn.net/?f=14.2%20%2B%20%28-16.5%29%20%3D%20-2.3)
Required
What does -16.5 represents?
<em>To understand this, we need to first calculate the displacement between his initial and final position</em>
<em></em>
![Displacement = Final\ Position - Initial\ Position](https://tex.z-dn.net/?f=Displacement%20%3D%20Final%5C%20Position%20-%20Initial%5C%20Position)
![Displacement = -2.3m - 14.2m](https://tex.z-dn.net/?f=Displacement%20%3D%20-2.3m%20-%2014.2m)
![Displacement = - 16.5m](https://tex.z-dn.net/?f=Displacement%20%3D%20-%2016.5m)
<em>So: -16.5m is the total displacement from the start position (i.e. off the cliff) and current position (beneath the water surface)</em>
23 plus seven is 30 and then you add the 15 which equals 45
Let's focus on the given equation. The C represents the cost, while the x must be the number of tacos, which is what we're solving for. Since we're given the boundary that C must be 300, then the solution would be:
300 = x² - 40x + 610
x² - 40x + 310 = 0
Apply the quadratic formula where a = 1, b = -40 and c = 310. The roots of x are:
x = 29.49≈30
x = 10.51≈11
<em>Thus, she needs to sell either 30 or 11 tacos.</em>
15) x=31/10
16)x=2
17)x=16/3
18)x=-2
19)2.5 hours
20) 32 hours