Which of the following statements is false?

the sum of two rational numbers is always rational.

the product of a nonzero rational number and an irrational number is always irrational.

the product of two rational numbers is always rational.

the sum of two irrational numbers is always rational.

Find the value of x. give reasons to justify your solutions! l, m ∈ kn

Jorge wants to determine the enlarged dimensions of a digital photo to be used as wallpaper on his computer screen. the original photo was 800 pixels wide by 600 pixels high. the new photo will be 1,260 pixels wide. what will the new height be?

The bottom of ignacio's desktop is 74.5cm from the floor. ignacios sits in his adjustable chair, and the tops of his legs are 49.3cm from the floor. each clockwise rotation of the knob on the chair raises ignacio's legs by 4.8cm. write an inequality to determine the number of clockwise rotations, r, ignacio could make with the knob without his legs touching the desk.