Consider the sequence of steps to solve the equation: 3(x ? 4) + 5x = 9x ? 36 given ? 3(x ? 4) + 5x = 9x ? 36 step 1 ? 3x ? 12 + 5x = 9x ? 36 step 2 ? 3x + 5x ? 12 = 9x ? 36 step 3 ? 8x ? 12 = 9x ? 36 step 4 ? 8x ? 8x ? 12 = 9x ? 8x ? 36 step 5 ? 0 ? 12 = x ? 36 step 6 ? ? 12 = x ? 36 step 7 ? ? 12 + 36 = x ? 36 + 36 step 8 ? 24 = x + 0 step 9 ? 24 = x which property yields step 1?

Given the box plot, will the mean or the median provide a better description of the center? box plot with min at 10.5, q1 at 11.5, median at 12.5, q3 at 13.5, max at 15

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.

Scenario: a rectangular plot of ground is 5 meters longer than it is wide. its area is 20,000 square meters. question: what equation will you find the dimensions? note: let w represent the width. options: w(w+5)=20,000 w^2=20,000+5 (w(w+5))/2=20,000 w+2(w+5)=20,000