The profit that John got from the last 50 was $5000.
Step-by-step explanation:
2(x+3)
2x+6
devide each in 2
2x/2 and 6/2
2 and 2 go out
X=3
Answer:
<u>The standard deviation of the uniform distribution is:</u>
<u>U(3, 12)</u>
- σ = (12−3)/√12 = 9/√12 = 2.5981
<u>U(80, 250)</u>
- σ = (250−80)/√12 = 170/√12 = 49.0748
<u>U(4, 93)</u>
- σ = (93−4)/√12 = 89/√12 = 25.6921
By the Pythagorean theorem,
.. x^2 +(x -46)^2 = (x +4)^2
.. 2x^2 -92x +2116 = x^2 +8x +16
.. x^2 -100x +2100 = 0
.. (x -50)^2 -400 = 0
.. x = 50 ±20 . . . . . only x=70 makes any sense in the problem
The height, x, of the tree is 70 meters.
Answer:
A boat would need 21 liters to cover the distance of 84 km.
Step-by-step explanation:
Given
A boat can travel 496 km on 124 liters of fuel.
To determine
How much fuel will it need to go 84 km?
It is stated that:
Distance covered in 124 liters of fuel = 496 km
Thus,
Unit rate = 496 km / 124 liters
= 4 km per liter
Thus,
The distance covered in 1 liter = 4km
In order to determine the distance covered in 84 km, all we need is to divide 84 km by 4.
i.e.
The fuel needed to go 84 km = 84 / 4 = 21 liters
Therefore, a boat would need 21 liters to cover the distance of 84 km.