Answer: -3/7
Step-by-step explanation:
-3x + 5x +-3= 4x + 5x
7x=-3
x=-3/7
Answer:
h = 4cm
Step-by-step explanation:
Diameter = 18cm
Radius = Diameter/2 = 18/2 = 9cm
V = 1/3*pi*r^2*h
We know that the volume is 108pi cm^3. We can just plug in 108pi cm^3 for V and we also know that our Radius (r) is 2.
So,
108 pi = 1/3*pi*9^2*h
108 pi = (81pi*h)/3
multiply 3 from both side
108pi*3 = (81pi*h)/3 *3
324pi = 81pi*h
Now divide the 81pi from both side
324pi/81pi = (81pi*h)/81pi
4 = h
So the height is 4cm
Answer:
44 and 110
Step-by-step explanation:
The ratio of the 2 numbers = 2 : 5 = 2x : 5x ( x is a multiplier ) , thus
difference = 5x - 2x = 3x , then
3x = 66 ( divide both sides by 3 )
x = 22
Thus
2x = 2 × 22 = 44
5x = 5 × 22 = 110
The 2 numbers are 44 and 110
Answer: the length of one edge of the square base of the second container is 6 inches.
Step-by-step explanation:
The formula for determining the volume of a rectangular container is expressed as
Volume = length × width × height
Considering the first container,
Length = 12 inches
Width = 8 inches
Height to which the water is filled is 6 inches.
Therefore, volume of water in the container is
12 × 8 × 6 = 576 inches³
Considering the second container,
Height of water = 16 inches
Let L represent the length of the square base. Then the area of the square base is L²
Volume of water would be 16L²
Since the water in the first container was poured into the second container, then
16L² = 576
L² = 576/16 = 36
L = √36
L = 6 inches
46.8 is 39% of 120. Hope this helped you!
