If the sum of 2X, 3X, 8X, 10X, 17X is divided by 40, what is the quotient?
Understand the Problem
The question contains multiple parts involving algebraic expressions and series. It asks for the results of various algebraic manipulations and the value of a sum divided by a specific number.
Answer
The quotient is \( X \).
Answer for screen readers
The quotient is ( X ).
Steps to Solve
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Calculate the sum of the expressions First, we add the terms: $$ 2X + 3X + 8X + 10X + 17X. $$ Combine like terms: $$ (2 + 3 + 8 + 10 + 17)X = 40X. $$
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Divide the sum by 40 Now, we divide the sum by 40: $$ \frac{40X}{40}. $$
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Simplify the expression This simplifies to: $$ X. $$
The quotient is ( X ).
More Information
The result shows that when the sum of the given expressions is divided by 40, the result is simply ( X ), meaning it is proportionate to the variable ( X ).
Tips
- Mixing up the terms: Ensure all coefficients are added correctly when summing the terms.
- Incorrect division: Double-check the division step to ensure proper cancellation.
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