Questions in mathematics

Questions in mathematics

[Done] What is the solution for the equation \(9m - 14 = -8\)?

[Done] Simplify the expression: \(-2(b + 12) + 6b\)

[Done] Solve for \( n \) in the equation: \[ p = 3n + 3u \]

[Done] Write an inequality to represent the possible balances \( b \) in Mr. Heng's checking account to avoid a monthly service fee. Mr. Heng must maintain a minimum daily balance of $500. Inequality: \[ b \geq 500 \]

[Done] Which of the following expresses the number of meters a contestant must travel in a 3-lap race where the course is a circle of radius \( R \) meters? F. \( 3R \) G. \( 3\pi R \) H. \( 3\pi R^2 \) J. \( 6R \) K. \( 6\pi R \)

[Done] How do you solve this rational equation? \[ \frac{4}{3(c+4)} + 1 = \frac{2c}{c+4} \]

[Done] The table lists the results from a survey (of questionable accuracy) of adults and how much they spend on a night out. The table displays the values rounded to the nearest whole number. Make a scatter plot. How would you describe the correlation between a person’s age and how much he or she spends on a night out? Does anyone know how to do this???

[Done] 16 is 25% of what number?

[Done] Donnie is solving the equation \(2x^2 = 27 + 3x\) using the quadratic formula. What values should he use for \(a\), \(b\), and \(c\)?

[Done] To decorate a cake, you make a shade of purple icing using 2 drops of red food coloring for every 3 drops of blue. For 12 drops of red food coloring, how many drops of blue food coloring would you need?