Prove the sum of two rational numbers is rational where a, b, c, and d are integers and b and d cannot be zero. Steps Reasons 1. a over b plus c over d Given 2. ad over bd plus cb over bd 3. ad plus cb all over bd Simplify Fill in the missing reason in the proof. Multiply to get a common denominator. Add to get a common denominator. Distribute d to all terms. Add d to all terms.

Asquare parking lot has 6,400 square meters what is the length in meters

Askate shop rents roller skates as shown on the table below. which graph and function models this situation?

Ariana starts with 100 milligrams of a radioactive substance. the amount of the substance decreases by 20% each week for a number of weeks, w. the expression 100(1−0.2)w finds the amount of radioactive substance remaining after w weeks. which statement about this expression is true? a) it is the difference between the initial amount and the percent decrease. b) it is the difference between the initial amount and the decay factor after w weeks. c) it is the initial amount raised to the decay factor after w weeks. d) it is the product of the initial amount and the decay factor after w weeks.