Let
x---------> represent the number of miles Troy's has driven
y--------> represent the amount of gas in Troy's truck
we know that
the equation that represents the amount of gas, y, in troy' s truck after driving a certain number of miles, x is

where
m is the slope---------> 
in this problem the slope is equal to 
it's negative because the tank is going to be consumed
assuming he starts with a full tank

substitute in the formula above

therefore
the answer is
the equation 
36/2=18
18/14+c +18/14-c=2.8
18(14-c)+18(14+c)=2.8(196-c²)
504=548.8-2.8c²
2.8c²=44.8
c²=16
c=±4
The current flows at 4 mph
☺☺☺☺
The probability that Rachel will win the game is: 1/12
Step-by-step explanation:
The number cubes has six sides numbered between 1 to 6. the chances of each number are equally likely
Let S be the sample space
The sample space has 6*6 = 36 outcomes.
Now, Let A be the event that the sum of numbers on both number cubes is 10
A = {(4,6),(5,5), (6,4)
n(A) = 3

The probability that Rachel will win the game is: 1/12
Keywords: Probability, Sample
Learn more about probability at:
#LearnwithBrainly
Answer:
We have the equation of the line as;
y = 1.80x - 5.80
Step-by-step explanation:
Let us have a plot of the amount saved in dollars to the day number
So we have the amount as y axis values and the day as x axis values
from the question, we can identify the points as;
(6,5) and (11,14)
Mathematically the equation of a straight line can be represented by the equation;
y = mx + b
where m is the slope and b is the y intercept
So, we calculate the slope using the two points above
We have the formula as;
m = (y2-y1)/(x2-x1)
(x1,y1) = (6,5)
(x2,y2) = (11,14)
m = (14-5)/(11-6) = 9/5 = 1.8
So we have the equation as;
y = 1.80x + c
To get the value of c, we use any of the two points
Let us use the point (6,5)
we substitute 6 for x and 5 for y
So, we have ;
5 = 1.8(6) + c
c = 5-1.8(6)
c = -5.8
So we have the equation as;
y = 1.80x - 5.80