Questions in mathematics

Questions in mathematics

📝 Answered - What is \(\frac{5}{x^2}\)? Explain your answer.

📝 Answered - What all the multiples of 81?

📝 Answered - A 1-digit number and a 3-digit number have a sum of 205. The same two numbers have a difference of 195, a product of 1,000, and a quotient of 40. What are the two numbers?

📝 Answered - You have a cylinder with a diameter of 15 inches and a height of 12 inches. What is the volume of the largest sphere that will fit inside it? (Note: The diameter of the largest sphere that can fit inside the cylinder will be equal to the smaller of the cylinder's diameter and height.)

📝 Answered - A child is standing across the street from his apartment. His mother is on their balcony. The angle of elevation between the child's eyes and his mother's eyes is 22 degrees. If the distance between their eyes is 32 feet, how far is the child standing from his apartment building? Round to the nearest foot.

📝 Answered - How is the numeral 35.012 written in words, and why?

📝 Answered - A lunch bill, including tax, is divided among you and 5 friends. Everyone pays less than $8.75. Write and solve an inequality that describes the total amount of the bill.

📝 Answered - What is two-thirds minus six-thirds?

📝 Answered - Factor the expression. If the expression cannot be factored, say so.

📝 Answered - In an expression: \[ \left(\frac{8}{9}\right)^2 \cdot (-81) + \frac{3}{5} \div \frac{-9}{10} \]