In mathematics, a rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Since q may be equal to 1, every integer is a rational number.
Answer:
m = 4
Step-by-step explanation:
Parallel means to have the same slope but different x- and y- intercepts
An example would be y = 4x + 6 and y = 4x - 2
Answer:
Allison worked 6 hours lifeguarding and 3 hours washing cars.
Step-by-step explanation:
Let
Number of hours Allison worked lifeguarding last week = x
Number of hours Allison worked washing cars last week = y
1. Last week Allison worked 3 more hours lifeguarding than hours washing cars hours, then
![x-y=3](https://tex.z-dn.net/?f=x-y%3D3)
<u>Lifeguarding:</u>
$12 per hour
$12x in x hours.
<u>Washing cars:</u>
$8 pere hour
$8y in y hours.
2. Allison earned a total of $96, hence
![12x+8y=96](https://tex.z-dn.net/?f=12x%2B8y%3D96)
You get the system of two equations:
![\left\{\begin{array}{l}x-y=3\\ \\12x+8y=96\end{array}\right.](https://tex.z-dn.net/?f=%5Cleft%5C%7B%5Cbegin%7Barray%7D%7Bl%7Dx-y%3D3%5C%5C%20%5C%5C12x%2B8y%3D96%5Cend%7Barray%7D%5Cright.)
Plot the graphs of these two equations (see attached diagram). These line intersect at point (6,3), so Allison worked 6 hours lifeguarding and 3 hours washing cars.
Answer:
10-1/3x=4
Step-by-step explanation:
10 minus is 10-
1/3 of a number is 1/3x
is 4 means =4
10-1/3x=4