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Given that Allison’s dog is 6 pounds more than 5 times the weight of Gail’s dog, it is important to know the following:
1. The word "more" indicates an Addition.
2. The word "times" indicates Multiplication.
Knowing this, you can write the following expression to represent "5 times the weight of Gail’s dog", where "g" is the weight of Gail’s dog:
Therefore, you can determine that the weight of Allison's dog (in pounds) is the sum of 6 pounds and 5 times the weight of Gail's dog (in pounds). Then, you can represent this with this algebraic expression:
Hence, the answer is:
The radius of the cylindrical vase is 8 centimeters, if the cylindrical vase holds 8,038.4 cubic centimeters of water and the height of the vase is 40 centimeters.
Step-by-step explanation:
The given is,
Volume of cylindrical vase = 8038.4 cubic centimeters
Height of the cylindrical vase = 40 centimeters
Step:1
Formula for volume of cylindrical vase,
......................(1)
Where, r - Radius of cylindrical vase
h - Height of cylindrical vase
From the given,
V = 8038.4 cubic centimeters
h = 40 centimeters
Equation (1) becomes,
8038.4
(∵
= 3.14 )
r = 8 centimeters
Result:
The radius of the cylindrical vase is 8 centimeters, if the cylindrical vase holds 8,038.4 cubic centimeters of water and the height of the vase is 40 centimeters.