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September 25, 2024

Find the value of x in the equation (2x + 30) + (2x + 10) = 180. The solution is x = 35.

September 21, 2024

This math problem shows how to solve the equation X³ - X⁰ = 26 step-by-step. The solution is X = 3.

September 21, 2024

This math problem presents a sequence of numbers: 6, 12, 21, ?, 48. The goal is to identify the pattern and determine the missing number. By analyzing the differences between consecutive numbers, we discover a pattern of increasing by 3. Applying this pattern, we find the missing number to be 33.

September 21, 2024

This math problem asks which fraction is larger, 3/4 or 5/6. The solution explains how to find the least common denominator and convert the fractions to have the same denominator. The answer is that 5/6 is larger than 3/4.

September 21, 2024

This math problem asks to solve for x in the equation √(x+5) = 8. The solution is x = 59.

September 18, 2024

This math problem asks whether multiplying 4/5 by 8 will result in a number greater than or less than 8. The solution explains that multiplying by a fraction less than 1 results in a smaller number, and calculates the product to be 6.4, confirming that it is less than 8.

September 14, 2024

Solve the equation x^12 = (x-1)^12 for x. The solution is x = 1/2.

September 14, 2024

Solve the equation (√(A^2-4))/(√(A-3)) = 2 for A. The solution involves squaring both sides, simplifying, and using the quadratic formula to find the complex solutions A = 2 + 2i and A = 2 - 2i.

September 12, 2024

Calculate the maximum concentrated live load a W18x46 A992 steel beam can support with a 16ft span, lateral support at ends, and a load 4ft from the left support. The bearing lengths are 4 inches at the supports and 8 inches at the load, with 3/4 inch bearing plates. The solution considers bending, shear, web crippling, and local web yielding, resulting in a maximum load capacity of 97.63 kips.

September 9, 2024

Discover the formula and set builder notation for the sequence 2, 5, 9, 14, 20. Learn how to identify patterns and express them mathematically.