Answer:
B) (2, 16), (3, 24), (4, 32), (5, 40)
Step-by-step explanation:
1 ticket costs $8. 8 x 2 = 16, so 2 tickets cost $16. 8 x 3 = 24, so 3 tickets cost $24. The same thing goes for 4 tickets, and 5 tickets.
Multiply the first equation by -2. It turns into 4x+18y=50 and the other one stays -4x-9y=-23. Then you "eliminate" the equations by "adding" them. Set it up like this:
4x+18y=50
+
-4x-9y=-23
4x-4x= 0. 18y-9y= 9y and 50-23= 27
SO: 9y= 27 and y= 3
And then you plug that in to one equation: 4x +18(3)= 50. 4x= 50-(18*3)
4x= -4, so x=-1.
Plug it back in to check!
Hope this helps. Happy solving! :)
9514 1404 393
Answer:
yes
Step-by-step explanation:
The point is on the line.
The coordinate values satisfy the equation:
1/3x + y = 12
1/3(3) + 11 = 12 . . . substitute for x and y
1 + 11 = 12 . . . . . . . true
Any point that satisfies the equation is a solution. (3, 11) is a solution.
Answer:
The function is 
domain is 0 to 0.2 hour.
range is 0 to 2 miles.
Step-by-step explanation:
Given that,
Average velocity = 10 miles/hour
Time = 12 min = 0.2 hour
We need to write a function that models the student's distance from home
Using formula of distance

Where, v = velocity
t = time
d = distance
Put the value into the formula

This is a function.
We know that,
Domain :
Domain shows the time.
So, domain = 0 to 0.2 hour
Range :
Range shows the distance.
The range at t =0,
Put the value of t in the function

The range at t =0.2 hour


So. range = 0 to 2 miles
Hence, The function is 
domain is 0 to 0.2 hour
range is 0 to 2 miles
Answer:
36 mph.
Step-by-step explanation:
Let x be the distance to the town hall.
Trip there:
speed (s) = distance / time
s = x / 1.5 so x = 1-5s
Trip back:
s - 12 = x / 2 so x = 2s - 24
AS they are both = to x:
1.5s = 2s - 24
0.5s = 24
s = 48.
Average speed on the way back = 48-12 = 36 mph.