Answer:
x = 33.33 kilometers
Step-by-step explanation:
you could make use of the percent, base, and rate formula here. we know that 15% is the rate, 5 kilometers is the percent, therefore what we are looking for is our base.

; cross multiply.
15x = 500
x = 33.33 kilometers
therefore, the race is 33.33 kilometers.
For this case we have the following quadratic functions:
Revenue: 
Cost: 
Then, we observe that the profit is given by the following mathematical relationship:

Substituting values we have:

Making the corresponding calculations we have:

Answer:
An expression that represents the profit is:

Answer:
y = -4x+4
Step-by-step explanation:
Pick two points on the line
(0,4) and (1,0)
We can find the slope
m = (y2-y1)/(x2-x1)
= (0-4)/(1-0)
= -4/1 =-4
We know the y intercept is 4
The slope intercept form of the equation is y = mx+b where m is the slope and b is the y intercept
y = -4x+4
Answer:
5x - 4 = 11
Step-by-step explanation:
4 less than 5 times a number equals 11
5 times a number minus 4 equals 11
(5*x) - 4 = 11
I hope this helps!!!
Answer:
You could use the polygon area formula OR here's an easier solution
We draw the lines DC and DE
Angle ADC = 120°
Triangle ADC is a 30 60 90 triangle
In such a triangle Line AE = hypotenuse * sq root (3) /2
Line AE = 3 * 0.8660254038 = 2.5980762114
Line DE = 1.5
Area of Triangle ADE = .5 * 1.5 * 2.5980762114 =
1.9485571586 square meters and entire area of Triangle
ABC = 6 * 1.9485571586
which equals 11.6913429513 square meters
Step-by-step explanation: