Questions in mathematics

Questions in mathematics

[Done] How do I find the percentage of \( \frac{18}{20} \)?

[Done] Expand and simplify the expression \((2x-7)^2\).

[Done] The graph of [tex]y = -5x^2 + 9[/tex] passes through [tex](1, 2a)[/tex] in the standard [tex](x, y)[/tex] coordinate plane. What is the value of [tex]a[/tex]?

[Done] What is the exact value of [tex]\tan\left(-\frac{13\pi}{6}\right)[/tex]? Provide an explanation.

[Done] What is 7% tax on an item that costs $2.99?

[Done] On a field trip, a bus breaks down 40 miles from the school. A teacher takes 5 students back to school in her car, traveling at an average speed of 40 miles per hour. The other 5 students start walking towards school at a steady 4 miles per hour. After dropping the 5 students at school, the teacher immediately turns around and comes back for the others, again traveling at a steady speed of 40 miles per hour. How far have the students walked by the time the car reaches them?

[Done] How do you compute the equation \(6x - 8 = \frac{1}{3}(18x + 24)\)?

[Done] Is 8,264 divisible by 3? True or false?

[Done] Patrick ate [tex]\frac{3}{5}[/tex] of a small pizza on Friday night. For lunch on Saturday, he ate [tex]\frac{1}{2}[/tex] of the leftover pizza. How much pizza did he eat for lunch on Saturday?

[Done] When Anne, Betty, and Cynthia compared the amount of money each had, they discovered the following: - Anne and Betty together had $12. - Betty and Cynthia together had $18. - Anne and Cynthia together had $10. Who had the least amount of money, and how much was it?