Can you add 5 odd numbers to get 30?

It is 7,9 + 9,1 + 1 + 3 + 9 = 30Wish you can find the 7,9 and 9,1 in the list of1,3,5, 7,9 ,11,13,151,3,5,7, 9,1 1,13,15

Mathematical Puzzles: What is () + () + () = 30 using 1,3,5,7,9,11,13,15?

My question had been merged with another one and as a result, I have added the previous answer to the present one. Hopefully this provides a clearer explanation. Just using the numbers given there, it's not possible, because odd + odd = even, even + odd = odd. 30 is an even number, the answer of 3 odd numbers must be odd, it's a contradiction. If what people say is true, then the question is wrongly phrased its any number of operations within those three brackets must lead to 30. Then it becomes a lot easier. Such as 15 + 7 + (7 + 1). That would give 30. But it assumes something that the question does not state explicitly and cannot be done that way. I still stick to my first point, it can't be done within the realm of math and just using three numbers, if not, then the latter is a way to solve it.EDIT: This question has come up many times, Any odd number can be expressed as the following, Let [math]n, m, p[/math] be an odd number, [math] n = 1 (mod[/math] [math]2), m = 1 (mod[/math] [math]2), p = 1 (mod[/math] [math]2)[/math][math]n+m+p = 1 + 1 + 1 (mod[/math] [math]2)[/math]Let's call [math]n+m+p[/math] as [math]x[/math][math]=> x = 3 (mod[/math] [math]2)[/math]Numbers in modulo n can be added, I'll write a small proof for it below, [math]a = b (mod[/math] [math]n), c = d (mod[/math] [math]n)[/math][math]a+c = b+d (mod[/math] [math]n)[/math]We can rewrite [math]b[/math] and [math]d[/math] in the following way, [math]n | (b - a) => b-a = n*p[/math] (for some integer p) [math]b = a + np[/math][math]b = a + np, d = c + nq[/math][math]b + d = a + np + c + nq[/math][math]b+d = a + c + n(p + q)[/math]Now we have shown that our result is true, moving forward, [math]3 = 1 (mod[/math] [math]2)[/math][math]x = 1 (mod[/math] [math]2)[/math]Therefore the sum of three odd numbers can never be even. It will always be congruent to 1 in mod 2.(This was what I wrote for a merged answer).Modular arithmetic - Link on modular arithmetic, the basic operations. Modular multiplicative inverse - The multiplicative inverse in modular operations.Congruence relationFermat's little theorem Modular exponentiation - As title suggests.Good luck!

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Form PT 351 1 May Fuel Consumed in New York State by Tax Ny

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Form PT 351 1 May Fuel Consumed in New York State by Tax Ny

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What is the Form PT 351 1 May Fuel Consumed In New York State By Tax Ny

The Form PT 351 1 May Fuel Consumed In New York State By Tax Ny is a crucial document used by businesses and individuals to report fuel consumption for tax purposes in New York State. This form helps ensure compliance with state tax regulations and provides necessary data for tax assessments. It is particularly relevant for entities that operate vehicles or machinery powered by fuel, as they must accurately report their fuel usage to the state tax authority.

How to use the Form PT 351 1 May Fuel Consumed In New York State By Tax Ny

Using the Form PT 351 1 May Fuel Consumed In New York State By Tax Ny involves several steps. First, gather all relevant information regarding your fuel consumption, including the types of fuel used and the total gallons consumed during the reporting period. Next, fill out the form accurately, ensuring all required fields are completed. Finally, submit the form by the designated deadline to avoid any penalties. Utilizing electronic signature solutions can streamline the submission process and enhance security.

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Completing the Form PT 351 1 May Fuel Consumed In New York State By Tax Ny requires careful attention to detail. Follow these steps:

Collect all necessary data on fuel consumption for the reporting period.
Access the form through the official state website or authorized platforms.
Fill in your business or personal information as required.
Input the total gallons of fuel consumed, categorized by fuel type.
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Submit the form electronically or by mail, depending on your preference.

Legal use of the Form PT 351 1 May Fuel Consumed In New York State By Tax Ny

The legal use of the Form PT 351 1 May Fuel Consumed In New York State By Tax Ny is essential for compliance with state tax laws. This form must be filled out accurately and submitted on time to avoid legal repercussions. It is recognized by the New York State Department of Taxation and Finance as a valid document for reporting fuel consumption, and it must adhere to all relevant regulations to ensure its legal standing.

State-specific rules for the Form PT 351 1 May Fuel Consumed In New York State By Tax Ny

New York State has specific rules governing the use of the Form PT 351 1 May Fuel Consumed In New York State By Tax Ny. These include deadlines for submission, requirements for reporting fuel types, and guidelines for record-keeping. It is important to stay informed about any changes in state regulations that may affect how this form is completed and submitted. Compliance with these rules helps avoid penalties and ensures accurate tax reporting.

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Filing deadlines for the Form PT 351 1 May Fuel Consumed In New York State By Tax Ny are critical to ensure compliance. Typically, the form must be submitted by a specified date each year, often aligned with the end of the fiscal year or specific reporting periods. It is advisable to check the New York State Department of Taxation and Finance website for the most current deadlines to avoid late fees or penalties.

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