Math Essay - explains intricacies of math, Assignments of Mathematics

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Essay (up to 3,700 Characters):

A vessel is full of milk. 1/3 of the solution is taken out and replaced with water. This process is repeated thrice. At the end of it, if 16 liters of milk remains, how much water will be present in the vessel? Write a five-paragraph essay to explain your rationale and use evidence/examples to support your argument. Math:

• W + M = V
• V (1 − 1/3)^3 = 16 Find the value of V first:
• V(⅔)^3=
• 8v/27=
• 8v=
• v=432/
• v= Replace values:
• W (still unknown) + 16 (Milk remaining) = 54 (found above)
• W = 54 - 16
• W = 38 Answer: 38 Liters Plan: This is an outline, not the plan The math is in the plan

• Carefully read the problem (Twice to be sure)
• Notice the key components that will be used in solving the problem
• Thesis: "Math is all about speed and accuracy", that is the lesson every student learns. They are taught that one must be speedy and on point when solving the problem but never explain how to do so. Key components that are used in figuring out a math problem would be reading the problem carefully, and twice for good measure; Trying not to overcomplicate it with many variables, and finding the best approach to the initiation of the question. (Explain problem here), (step one), (step two), (step three).

• Reading specific points in math problems helps enhance and grow thinking
• Begin explaining STEP 1 and lead it into step 2

• follow the same steps as part two
• link 1 and 2 and lead into step three

• end it off with step three
• restate thesis
• conclude with real-world examples of how the thinking and thought process of solving math process can help in the future with many careers and critical thinking in general "Math is all about speed and accuracy", which is the lesson every student learns. They are taught that one must be speedy and on point when solving the problem but never explain how to do so. Key components that are used in figuring out a math problem would be reading the problem carefully, and twice for good measure; Trying not to overcomplicate it with many variables, and finding the best approach to the initiation of the question. A vessel is full of milk. 1/3 of the solution is taken out and replaced with water. This process is repeated thrice. At the end of it, if 16 liters of milk remains, how much water will be present in the vessel? How is one to go about the question? This problem requires two major equations that will help; An equation to find the total volume of the vessel, then the sum of elements within the vessel. Solve for the volume of the vessel, and then replace the values with the second equation to lead it into the answer. Reading the question carefully, one can see that there are two unknown values, though the problem is only looking for one (amount of water), the solver must find the volume of the vessel first. Set up two equations 𝑣(1 − 1/3) this will help solve for the total volume of the vessel. Taking "v" as a 3 = 16 variable, and taking away the added water from the total amount of milk will lead to the volume of the vessel. The second equation needed would be a more simple one 𝑤 + 𝑚 = 𝑣, where "w" is the amount of water in the vessel; "m" is the amount of remaining milk in the vessel, and as stated before "v" is the total volume of the vessel. Adding the Subtracting the volume from the remaining milk will bring to the answer of how much there is. To solve the volume equation the first step is to not overthink it. Tear the problem apart, (1 − 1/3)- First, subtract the fractions inside of the parenthesis which would end up being ⅔, from there cube the fraction as shown in the equation. (2/3)is equal to 8/27. Now, plug the portion that was solved back 3 into the equation; 8𝑣/ 27 = 16. Pulling in some algebra skills, solve for the value of "v". Multiply 16 and 27 to get an answer of 432, and then divide that by 8 to get an answer of 54. Therefore, when that section is thoroughly solved- 𝑣 = 54. The difficult part of the math problem is over, this has now become a game of puzzles, one must put the proper pieces in the correct spots. The equation 𝑤 + 𝑚 = 𝑣, is to find the liters of water in the vessel. Knowing the volume of that, from the previous equation, place 54, in the spot where "v" is the variable. The equation is then, 𝑤 + 𝑚 = 54 ; The problem had already given the reader the amount of milk remaining in the vessel, which was 16 liter- so like how the volume was plugged above, plug in the "16" for 𝑚. This final part is the most simple,