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Questions in Grade Middle-school

📝 Answered - Solve the system of equations using substitution. \[ y = \frac{3}{4}x - 7 \] \[ 4x - 6y = 50 \]

📝 Answered - I need help with adding fractions.

📝 Answered - A shirt is on sale at a 20% discount. The sales tax is 5%. A new sales clerk simply takes 15% off the original price. Is this correct? Why?

📝 Answered - Why was there confusion about money under the Articles of Confederation?

📝 Answered - If a function \( f \) is continuous for all \( x \) and if \( f \) has a relative maximum at \((-1, 4)\) and a relative minimum at \((3, -2)\), which of the following statements must be true? A. The graph of \( f \) has a point of inflection somewhere between \( x = -1 \) and \( x = 3 \). B. \( f'(-1) = 0 \). C. This is wrong. D. The graph of \( f \) has a horizontal tangent line at \( x = 3 \). E. The graph of \( f \) intersects both axes. I understand why E is correct, but I do not get why A, B, and D are all wrong. Aren't B and D to be expected since they are relative max/min's? I also can't imagine a case in which "A" is incorrect. Can someone explain why they are wrong? Thank you!

📝 Answered - Forces come in pairs. What are these pairs called?

📝 Answered - Roxanne has \(\frac{1}{2}\) as many beads as Sherie. The number of beads Sherie has is \(\frac{4}{5}\) that of Marcos. Marcos has 165 beads. How many more beads does Marcos have than Roxanne?

📝 Answered - The perimeter of a square is 1 meter. How many centimeters long is each side?

📝 Answered - A car rental company sells accident insurance to 24% of its customers. Out of 550 customers, about how many customers are predicted to purchase insurance?

📝 Answered - A baseball player reaches base 35% of the time. How many times can he expect to reach base in 850 at-bats?