Answer:
The point of intersection of the lines is
.
Thus, Ariyonne's claim is incorrect.
Step-by-step explanation:
Given equations:
1) 
2) 
To find the point of intersection, we need to solve the given system of equations.
In order to solve the system we will use substitution method.
We will substitute value of
from first equation in the second equation and solve for 
So, we have

Multiplying both sides by 2 to remove fraction.

Using distribution.

Subtracting both sides by


Adding 4 to both sides.


Dividing both sides by 7.


We can find value of
by plugging in
in the first equation.



So, the point of intersection of the lines is
.
Thus, Ariyonne's claim is incorrect.
Answer:
231
Step-by-step explanation:
Let's compute the probability of this event and then multiply it by 100.
As each deck has 4 suits and each suit has 3 faces, there are 12 faces in a deck.
As a deck has 52 cards, the probability of drawing a face is
<em>12/52 = 0.23076
</em>
This means that if you choose a card 1000 times from a deck of poker cards, you probably will select 231 times a face (rounding to the nearest integer).
Answer:
Step-by-step explanation:
Answer:
$10.35
Step-by-step explanation:
this is the answer because you have to multiply 9*.15=1.35. then that is the sales tax then you have to add it to the $9 so then you got $10.35