Answer:
a. the ratio of the sides is 6: 8, or 3:4
b. the ratio of the surfaces is 
or 9:16, the square of the ratio of the sides.
c. the ratio of the volumes is 
or 27:64, the cube of the ratio of the sides.
Answer:
15625 is 5 to the power of 6.
You didn't give your answer choices, so I will assume you are referring to the answer.
Step-by-step explanation:
Answer: The volume of the stone is 576 cubic inches
Step-by-step explanation: The dimensions of the tank are given in feet and inches, hence we shall use the lower of the unit of measurement that is, inches. Note that 1 foot equals 12 inches, so the length is 2 feet times 12, which equals 24 inches. Also the width is 1 foot times 12 which equals 12 inches. Then the tank is filled with water up to a depth of 8 inches , so the volume of water in the tank can be calculated as follows;
Volume = L x B x H
Where Length = 24, Width = 12 and Height = 8
Volume = 24 x 12 x 8
Volume = 2304
At 2304 cubic inches, a stone is placed in the water tank and the water level rises by 2 inches which implies that the depth is now 10 inches. With the addition of the stone, the dimensions are now shown as;
Length = 24, Width = 12, and Height = 10
Volume = L x W x H
Volume = 24 x 12 x 10
Volume = 2880
With the rise in volume of water in the tank, the difference (which is the volume of the stone) now is Volume with stone minus volume without stone, that is
Volume of stone = 2880 - 2304
Volume of stone = 576
Therefore the volume of the stone is 576 cubic inches
Answer:
3 miles on Monday
2¹/₁₀ miles on Tuesday
3⁹/₂₀ miles on Wednesday
Step-by-step explanation:
We are told that Bonnie runs 1⅔ (⁵/₃) times as far as John each day
This means that John runs ³/₅ times as far as Bonnie.
MONDAY:
Bonnie runs 5 miles on Monday, therefore, John runs:
³/₅ * 5 = 3 miles
TUESDAY:
Bonnie runs 3½ (⁷/₂) miles on Tuesday, therefore, John runs:
³/₅ * ⁷/₂ = ²¹/₁₀ = 2¹/₁₀ miles
WEDNESDAY:
Bonnie runs 5³/₄ (²³/₄) miles on Wednesday, therefore, John runs:
³/₅ * ²³/₄ = ⁶⁹/₂₀ = 3⁹/₂₀ miles
