Answer:
2 mph
Step-by-step explanation:
time = distance / speed
Let c represent the rate of the current. Then the upstream rate of the boat relative to the shore is (5c -c) = 4c, and the <em>upstream time</em> is ...
... 12/(4c) = 3/c.
Likewise, the downstream rate is (5c +c) = 6c, and the <em>downstream time</em> is ...
... 12/(6c) = 2/c.
The <em>total time</em> is the sum of upstream and downstream times:
... 3/c +2/c = 2.5
... 5/c = 2.5 . . . . . . combine terms
... 5/2.5 = c = 2 . . . multiply by c/2.5
Answer:
The solution is (-2, 4)
Step-by-step explanation:
When finding the solution of system of equations, you need to find where both lines intersect.
In the graph shown, the light purple and dark purple line meet at (-2, 4).
Hope this helps!!
Answer: it will take 40 rides to break even.
Step-by-step explanation:
Profit = Revenue - total cost
At the point of break even, there is no profit. It means that
revenue = total cost
The cost c (in dollars) for the fuel and maintenance of a go-cart is given by
c = 10x + 1200
where x is the number of rides. It costs $40 per ride. This means that the revenue gotten from x rides is 40x.
In order to break even, it means that
40x = 10x + 1200
40x - 10x = 1200
30x = 1200
x = 1200/30
x = 40
To get the 0.12 to repeat, the trick is to subtract 1 from the denominator
Then reduce the fraction.
now add the 3 to get
