Questions in mathematics

Questions in mathematics

[Done] Is [tex]\frac{3}{10}[/tex] closer to 0, [tex]\frac{1}{2}[/tex], or 1?

[Done] The length of a rectangle is 5 greater than 3 times the width. The area of the rectangle is 22 cm². Find the length and the width. Show your steps.

[Done] How many points are shared by two perpendicular lines? How many points are shared by two parallel lines?

[Done] What is the common angle of triangle PQT and triangle RSQ? Can someone explain this for me ?

[Done] What is [tex]\frac{32}{44}[/tex] in its simplest form?

[Done] Order the following numbers starting from the smallest: 15.009, 15.05, 15.249, 15.25, 15.3

[Done] Can anyone explain how to solve this? \[ 5(6-2)^2-5 \]

[Done] Laura earns $255 by working 20 hours each week. Part A Write an equation to find how much Laura earns per hour. Use \( H \) to represent the hourly rate. Equation: \[ 20H = 255 \] Part B Solve the equation to find Laura's hourly rate. Part C Laura earns $2.90 more per hour than her friend, Jess. Write an equation to show how much Jess earns per hour. Use \( J \) to represent her hourly rate. Equation: \[ H = J + 2.90 \]

[Done] Given: \[ f(x) = 7x + 7 \] \[ g(x) = 6x^2 \] Find \((fg)(x)\).

[Done] If \( x \, \text{¤} \, y = (x + y)^2 - (x - y)^2 \), then \( \sqrt{5} \, \text{¤} \, \sqrt{5} = \)