45*8=360+80=440 therefore he will get paid $440
Firstly, the word rational...is derived from ratio..which in simple terms ..is a fraction. a rational function, like all functions, must contain both an independent and dependent variable. The general form of a function is y = f(x), where y [the dependent variable] is based on the value of x [ the independent variable. So, to answer the question, a rational function, is one that involves a rational expression, such as y = 23x/2.
Answer:
26 wins , 14 ties
Step-by-step explanation:
Given: Hockey teams receive
points when they win and
point when they tie. One season, a team won a championship with
points. They won
more games than they tied.
To Find: How many wins and how many ties did the team have.
Solution:
let the number of wins hockey team have ![=\text{x}](https://tex.z-dn.net/?f=%3D%5Ctext%7Bx%7D)
let the number of ties hockey team have ![=\text{y}](https://tex.z-dn.net/?f=%3D%5Ctext%7By%7D)
Now,
Hockey teams receive
points when they win and
point when they tie.
![2\text{x}+\text{y}=66](https://tex.z-dn.net/?f=2%5Ctext%7Bx%7D%2B%5Ctext%7By%7D%3D66)
They won
more games than they tied
![\text{x}-\text{y}=12](https://tex.z-dn.net/?f=%5Ctext%7Bx%7D-%5Ctext%7By%7D%3D12)
Solving both equations we get
![\text{x}=26](https://tex.z-dn.net/?f=%5Ctext%7Bx%7D%3D26)
![\text{y}=14](https://tex.z-dn.net/?f=%5Ctext%7By%7D%3D14)
Hence, the hockey team have
wins and
ties.
Answer:
C
Step-by-step explanation:
step 1 is given. step 2, angles B and C are vertical, meaning they are 'pointing' at each other as one could say. step 3, angles C and E are both on the inside of lines R and G, which proves that they are same-side interior angles. step 4, just like B and C, E and H are vertical angles ('pointing' at each other). step 5 uses substitution because its showing that B is congruent to C, C is congruent to E, E is congruent to H, so by compressing that statement up it would lead us to proving that B is indeed congruent to H.
Answer: D
Step-by-step explanation: