Width=w
length=(40-2w)/2=20-w
A=w(40-w)
A=40w-w²
A'=40-2w=0
2w=40
w=20
20x20 is the size of the pen having the greatest area. this tells us the largest rectangle for a given perimeter is a square
Hello! So, the problem is saying that 200 vitamins cost $8.75, and that is what we know. We also know that we're going to be looking at the cost of 500 vitamins, but we don't know. The numbers presented can be put into a proportion, and that can help solve the problem. 200 to 8.75, and 500 to a number we don't know. I'm no sure if you familiar with the how to set up a proportion, but it's saying this number over this other number (which is a fraction) equals another fraction. Make sure that your numbers always match up, so your not saying vitamins over money equal money over vitamins. Use cross products, divide, and then you'll have your answer. For this problem, since yours solving for money, make sure to have two decimal points and a dollar sign. I hoped this helped, if you have any questions shoot me a question or message. Good luck!
Write the equation in point slope form for the line through the given point that has the given slope.
To solve this, first find out how many volcanoes were in California. As 15% were in California, you can multiply the total number of volcanoes by the percent IN DECIMAL FORM. To convert it to decimal form, divide it by 100, so 15/100=.15. Now multiply by your total to get the number of volcanoes in California (C), C=60*.15=9 volcanoes in California. To get the volcanoes in Alaska, yous subtract your volcanoes in California from your total, so 60-9=51 volcanoes in Alaska.
