Is the opposite of the absolute value of a number always, sometimes, or never equal to the absolute value of the opposite number

Simplify the expression. enter the correct answer.

This race was first held in 1953 on august 16th. every decade the race finishes with a festival. how many years is this?

Lin is writing an equation to model the proportional relationship between y, the total cost in dollars of downloading videos from a website, and x, the number of videos downloaded. she knows that the total cost to download 3 videos was $12. her work to find the equation is shown below. joylin’s work step 1 k= 3/12= 0.25 step 2 y= 0.25x where did joylin make her first error?