two consecutive integers: x,x+1
x+(x+1) = 9(x) - 5(x+1)
2x+1 = 9x-5x-5
2x+1 = 4x-5
subtract 2x from each side
1 = 2x-5
add 5 to each side
6 = 2x
divide by 2
x=3
the integers are 3 and 4
It will take 15 weeks before Juan and Percy see one another again.
The answer to this question is x=2i√2,−2i√2
Complete question is;
A 10 cm thick grindstone is initially 200 cm in diameter, and it is wearing away at a rate of 50 cm/hr. At what rate is its diameter decreasing?
Answer:
Diameter is decreasing at the rate of 5/(2πr) cm/hr
Step-by-step explanation:
We are told the stone is wearing away at a rate of 50 cm/hr. This means the volume is decreasing. Thus;
dV/dt = -50 cm/hr
Now, a grindstone is in the shape of a cylinder. Thus, volume of grindstone is;
V = πr²h
dV/dr = 2πrh
Now,to find the rate at which the diameter is decreasing, we'll write;
dr/dt = (dV/dt)/(dV/dr)
dr/dt = -50/(2πrh)
We are given;
Diameter = 200 cm
Radius; r = 200/2 = 100 cm
Thickness; h = 10 cm
Thus;
dr/dt = -50/(2π × r × 10)
dr/dt = -5/(2πr) cm/hr
Answer:
24
Step-by-step explanation:
Area of the kitchen = Area small rectangle + area large rectangle + area triangle
Area small rectangle = (8-4)*1.5
Area large rectangle = (8-4)* 3
Area triangle = (1/2)*base*height = (1/2)*4*3
Area of the kitchen = (8-4)*1.5 + (8-4)* 3 + (1/2)*4*3 = 24 cm²
