Answer:
Caroline buys 3 packs of candles and 5 packs of holders.
Step-by-step explanation:
1.) You need to add numbers of candle packs together until they both reach the same number, for example, multiples of 30 are 30, 60, 90.
2.) Then you add multiples of the holders. 18, 36, 54, 72, 90.
3.) You find that Caroline buys 3 pakcs of candles and 5 packs of holders to have the same number of both.
When you get to the point where the width is larger than the length, you can stop because you have exhausted all the possibilities. The greatest area will be the rectangle that is closer in to a square than any of the others.
Answer:
Step-by-step explanation:

- Slope-Intercept Form: y = mx+b, with m = slope and b = y-intercept
So perpendicular lines have <u>slopes that are negative reciprocals</u> to each other, but firstly we need to find the slope of the original equation. The easiest method to find it is to convert this standard form into slope-intercept.
Firstly, subtract 3x on both sides of the equation: 
Next, divide both sides by -4 and your slope-intercept form of the original equation is 
Now looking at this equation, we see that the slope is 3/4. Now since our new line is perpendicular, this means that <em>its slope is -4/3.</em>
Now that we have the slope, plug that into the m variable and plug in (-4,-5) into the x and y coordinates to solve for the b variable as such:

<u>In short, your new equation is y = -4/3x - 10 1/3.</u>