Answer:
x = 5, y = -2.
or as an ordered pair it's (5, -2).
Step-by-step explanation:
2x + 3y = 4
y = 5x - 27
-5x + y = -27 Multiply this by - 3:
15x - 3y = 81 Add this equation to the first equation:
17x = 85
x = 5
Plug this into the second equation:
y = 5(5) - 27
y = -2.
Answer: Ellen traveled 75 miles at 25 miles per hour.
Step-by-step explanation:
Let x represent the number of miles that she travelled at 25 miles per hour.
If the total distance that she covered is 120 miles, then the distance that she covered at 15 miles per hour is (120 - x) miles
Time = distance/speed
Time taken to travel at 25 miles per hour is expressed as
x/25
Time taken to travel at 15 miles per hour is expressed as
(120 - x)/15
Since the total time for the trip is 6 hours, it means that
x/25 + (120 - x)/15 = 6
Multiplying both sides of the equation by 75, it becomes
3x + 5(120 - x) = 450
3x + 600 - 5x = 450
3x - 5x = 450 - 600
- 2x = - 150
x = - 150 / - 2
x = 75
Answer:
16 boxes
Step-by-step explanation:
94+37=131
131/8=16.375
This means that the most possible boxes that they can fill is 16 boxes
This happens whenever
or
. More generally,
whenever you start with one of these angles and add any multiple of
, so the general solution would be
, where
is any integer. (Notice that when
, you end up with
.)