8 3/4+n+2 3/8+ 23 1/8
8 3/4+n+ 25 4/8
35/4+ n+ 204/8
70/8 +n+ 204/8
274/8 +n
n= -274/8= -25 1/2
Step-by-step explanation:
<u>Given equation:</u>
a. write a second equation so that (1,3) is the only solution of the system
To have only one solution the equation must have a different slope.
<u>Let it be 10, then the y-intercept of y = 10x + b is:</u>
<u>And the equation:</u>
b. Write a second equation so that the system has infinitely many solutions
<u>To have infinitely many solutions, both equations must be same:</u>
c. Write a second equation so that the system has no solutions.
<u>To have no solutions, the equations must have same slope but different y-intercepts:</u>
Answer: 54.2%
Step-by-step explanation:
The percent mark-up refers to how much higher you sell a product than what you bought it for expressed as a percentage of what you bought it for.
In this case, the woman bought it for $120 and sold it for $65 more.
Cost = $120
Markup = $65
Markup percentage = 65 / 120 * 100%
= 54.2%
Answer:
\boxed{\text{8 ft}}
Step-by-step explanation:
The formula for the volume of a cube is
V = s³
where s is the length of a side.
![\begin{array}{rcl}\\V&=&s^{3}\\\text{512 ft}^{3}& =&s^{3}\\\sqrt[3]{ \text{512 ft}^{3}} & = & s\\s & = & \textbf{8 ft}\\\end{array}\\\text{The length of one side is $\boxed{\textbf{8 ft}}$}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Brcl%7D%5C%5CV%26%3D%26s%5E%7B3%7D%5C%5C%5Ctext%7B512%20ft%7D%5E%7B3%7D%26%20%3D%26s%5E%7B3%7D%5C%5C%5Csqrt%5B3%5D%7B%20%5Ctext%7B512%20ft%7D%5E%7B3%7D%7D%20%26%20%3D%20%26%20s%5C%5Cs%20%26%20%3D%20%26%20%5Ctextbf%7B8%20ft%7D%5C%5C%5Cend%7Barray%7D%5C%5C%5Ctext%7BThe%20length%20of%20one%20side%20is%20%24%5Cboxed%7B%5Ctextbf%7B8%20ft%7D%7D%24%7D)
