Questions in mathematics

Questions in mathematics

[Done] The sales tax in Alex's city is 7.33%. He bought a video game system for $299 and 2 games at $49 each. What was the total bill, to the nearest tenth?

[Done] Successive discounts of 20% and 12% are equivalent to a single discount of what percentage?

[Done] A principal of $1700 is invested at 8.2% simple interest, paid annually, for 7 years. What is the rate of return?

[Done] Simplify the expression \(\frac{1}{3}(7y - 2) + \frac{1}{9}(6y + 10)\).

[Done] Solve the system of equations: \[ 6x + 7y = -9 \] \[ -4x - 5y = 5 \]

[Done] Carlos has a 1.2-meter-long piece of wood. He wants to cut it into 3 equal lengths. How long should each piece be in millimeters?

[Done] Which is greater: [tex]\frac{3}{7}[/tex] or [tex]\frac{7}{12}[/tex]?

[Done] Robert has 12 coins totaling $1.45. None of his coins is larger than a quarter. Which of the following cannot be the number of quarters he has?

[Done] Anne has 24 more cards than Devi. Anne finds that [tex]\frac{3}{5}[/tex] of Devi's cards are equal to [tex]\frac{1}{2}[/tex] of her cards. How many cards does Anne have?

[Done] A child throws a ball up in the air to a height of 3.5 m and catches it at the same point from which it was thrown. The ball is in the air for a total of 1.7 seconds. What is the average velocity of the ball?