Hi there!
Let's solve this inequality step by step!

First collect the terms on the left.

In order to solve, we must isolate r. Therefore we need to bring them all to the left. Our next step will therefore be to add 3r to both sides of the equation.

Finally we need to divide both sides of the equation by -1. Because we divide by a negative, the sign flips.

Hence, the answer is r < -3.
~ Hope this helps you!
Answer:

Step-by-step explanation:
Length=2*Width
L=2*W
Perimeter=28.8 cm
Perimeter of a rectangle= 2(Length+Width)



Answer:
x+y+3w
Step-by-step explanation:
Answer:
7.5 ft³/min
Step-by-step explanation:
Let x be the depth below the surface of the water. The height, h of the water is thus h = 10 - x.
Now, the volume of water V = Ah where A = area of isosceles base of trough = 1/2bh' where b = base of triangle = 4 ft and h' = height of triangle = 1 ft. So, A = 1/2 × 4 ft × 1 ft = 2 ft²
So, V = Ah = 2h = 2(10 - x)
The rate of change of volume is thus
dV/dt = d[2(10 - x)]/dt = -2dx/dt
Since dV/dt = 15 ft³/min,
dx/dt = -(dV/dt)/2 = -15 ft³/min ÷ 2 = -7.5 ft³/min
Since the height of the water is h = 10 - x, the rate at which the water level is rising is dh/dt = d[10 - x]/dt
= -dx/dt
= -(-7.5 ft³/min)
= 7.5 ft³/min
And the height at this point when x = 8 inches = 8 in × 1 ft/12 in = 0.67 ft is h = (10 - 0.67) ft = 9.33 ft
Answer:
Step-by-step explanation:
The percent increase formula is

For the bread, our percent increase looks like this:

which gives us a percent increase of 66.7%
For the cakes, our percent increase looks like this:

which gives us a percent increase of 20%