91Ó°ÊÓ

Find the reciprocal of each number. $$\frac{2}{3}$$

Suppose \(4 x+3 y=12 .\) Find \(x\) if: $$y=4$$

Apply the distributive property to each of the following expressions. $$4(2 a-5)$$

Find the complement and supplement of each angle. [Example \(6]\) $$45^{\circ}$$

Find the value of each of \(12 x-3\) for each of the following values of \(x .\) $$\frac{1}{3}$$

Find the complement and supplement of each angle. [Example \(6]\) $$31^{\circ}$$

Find the complement and supplement of each angle. [Example \(6]\) $$59^{\circ}$$

Digital Video The most popular video download of all time was a Star Wars movie trailer. The video was compressed so it would be small enough for people to download over the Internet. A formula for estimating the size, in kilobytes, of a compressed video is $$S=\frac{\text {height} \cdot \text {width} \cdot \text { fps } \cdot \text { time }}{35,000}$$ where height and width are in pixels, \(f p s\) is the number of frames per second the video is to play (television plays at 30 fps), and time is given in seconds. a. Estimate the size in kilobytes of the Star Wars trailer that has a height of 480 pixels, has a width of 216 pixels, plays at 30 fps, and runs for 150 seconds. b. Estimate the size in kilobytes of the Star Wars trailer that has a height of 320 pixels, has a width of 144 pixels, plays at 15 fps, and runs for 150 seconds.

Add or subtract as indicated. $$\frac{1}{6}-\frac{4}{3}$$

Translate each of the following into an equation, and then solve the equation. The difference of \(x\) and 12 is \(30 .\)