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
The values of the x in the given equation are x = 6.46 and x = -0.46
<h3>Solving an equation </h3>
From the question, we are to solve the equation for x
The given equation is
(x+3)² -10 = 2
First, add 10 to both sides of the equation
(x+3)² -10 +10 = 2 +10
(x+3)² = 12
Now, take the square root of both sides to get
x + 3 = ±√12
∴ x = 3 ± √12
x = 3+√12 OR 3-√12
x = 3 + 3.46 OR 3 - 3.46
x = 6.46 OR -0.46
Hence, the values of the x in the given equation are x = 6.46 and x = -0.46
Learn more on Solving an equation here: brainly.com/question/24334139
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The coordinates of the vertices of the triangle are
(–8, 8), (–8, –4), and<span> (10, –4)</span>.
Consider QR the base of the triangle. The measure of the base is b = 18 units, and the measure of the height is h = <span>12</span> units.
The area of triangle PQR is<span>108</span> square units.
do you want an explanation too or just the answer anyway here's the answer 488