Answer:
![x = - \frac{25}{3}](https://tex.z-dn.net/?f=x%20%3D%20%20%20-%20%20%5Cfrac%7B25%7D%7B3%7D%20)
Step-by-step explanation:
![\frac{10}{3} = \frac{x}{( - \frac{5}{2}) }](https://tex.z-dn.net/?f=%20%5Cfrac%7B10%7D%7B3%7D%20%20%3D%20%20%5Cfrac%7Bx%7D%7B%28%20-%20%20%5Cfrac%7B5%7D%7B2%7D%29%20%7D%20)
<h3>i) simplify the complex fraction</h3>
![\frac{10}{3} = - \frac{2x}{5}](https://tex.z-dn.net/?f=%20%5Cfrac%7B10%7D%7B3%7D%20%20%3D%20%20-%20%20%5Cfrac%7B2x%7D%7B5%7D%20)
<h3>ii) simplify the equation using cross multiplication</h3>
![5(10) = - 2x(3)](https://tex.z-dn.net/?f=5%2810%29%20%3D%20%20-%202x%283%29)
![50 = - 6x](https://tex.z-dn.net/?f=50%20%3D%20%20-%206x)
<h3>iii) swap the sides of the equation</h3>
![- 6x = 50](https://tex.z-dn.net/?f=%20-%206x%20%3D%2050)
<h3>iv) divide both sides of the equation by -6</h3>
![\frac{ - 6x}{ - 6} = \frac{50}{ - 6}](https://tex.z-dn.net/?f=%20%5Cfrac%7B%20-%206x%7D%7B%20-%206%7D%20%20%3D%20%20%5Cfrac%7B50%7D%7B%20-%206%7D%20)
![x = - \frac{50}{6}](https://tex.z-dn.net/?f=x%20%3D%20%20-%20%20%5Cfrac%7B50%7D%7B6%7D%20)
<h3>v) simplify the fraction</h3>
![x = - \frac{25}{3}](https://tex.z-dn.net/?f=x%20%3D%20%20-%20%20%5Cfrac%7B25%7D%7B3%7D%20)
Answer:
B. 0
Step-by-step explanation:
If you subtract the right side expression and simplify, you get ...
4/5(20x +5) -(16x -2) = 0
16x +4 -16x +2 = 0
6 = 0 . . . . . . . . . . . . false
There is no value of x that will make this true. There are no solutions.
($3.91)(0.09) = $0.3519
$3.91 + 0.3519 = $4.2619 per gallon
if you're looking for the total expense next year:
($4.2619)(370 gallons) = $1,576.903
Answer:
Step-by-step explanation:
Okay, so hopefully my crude diagram helps you visualize the problem. When in doubt, always draw a picture.
All I did was graph the points and formed a line.
Slope: It's going to be 0 because it doesn't change at all (no different y values)
(y2-y1)/(x2-x1) = (6-6) / (4-2) = 0/2 = 0
Y intercept is where the line crosses the y axis- this is also where x=0 (find it in your chart!)
Equation is y= 6; I don't know how to explain this, but trust me, it's right