Questions in mathematics

Questions in mathematics

[Done] Solve for x. \[ ax + bx = 21 \]

[Done] A survey conducted in a school showed that 65% of the students walked to school. The remaining students took buses to school. The ratio of students who took school buses to those who took public buses was 4:3. There were 360 more students who walked than those who took buses. How many students took public buses to school? Explain your solution process and reasoning.

[Done] How do you perform a transversal of parallel lines?

[Done] What is the exact volume of the largest cone that can fit into a cube with edges of 10 inches?

[Done] How do you describe the rule that governs a pattern or table?

[Done] What is the difference between "x times x" and "x plus x"?

[Done] Fifty pounds of a cement-and-sand mixture is 40% sand. How many pounds of sand must be added for the resulting mixture to be 60% sand?

[Done] How many solutions does the system of equations have? 1. \(2y = 10x - 14\) 2. \(5x - y = 7\) Please provide a step-by-step solution.

[Done] Sally has twice as many dimes as nickels. The total value is $3.50. How many nickels and dimes does she have?

[Done] Aretha had $0.85 in nickels and dimes. She has 2 more nickels than dimes. How many nickels and dimes does she have?