Answer:
C. 60 blue marbles
Step-by-step explanation:
10 marbles are taken out of the bag.
6 marbles taken out are red.
So the other 4 marbles taken out are blue.
200 ÷ 4 = 50
and 50 is close to 60.
Let me know if this helps!
Answer:
130 papers.
Step-by-step explanation:
1 min per paper therefore 130 mins = 130 papers
:)
Answer:
![W_{max}=480m\\ L_{max}=160m](https://tex.z-dn.net/?f=W_%7Bmax%7D%3D480m%5C%5C%20L_%7Bmax%7D%3D160m)
Step-by-step explanation:
Since we know we only have 640 feet of fence available, we know that L + W + L = 640,
2L + W = 640. This allows us to represent the width, W, in terms of L: W = 640 – 2L
Remember, the area of a rectangle is equal to the product of its width and length, therefore,
Notice that, quadratic has been vertically reflected, since the coefficient on the squared term is negative, so the graph will open downwards, and the vertex will be a maximum value for the area.
recall,
Since our function is A(L)=640L-2L², we get
plug in the value of a and b into the first formula:
![L_{max}=-(640)/2(-2)\implies 160](https://tex.z-dn.net/?f=L_%7Bmax%7D%3D-%28640%29%2F2%28-2%29%5Cimplies%20160%20)
![A(L)_{max}=640(160)-2(160)^2\implies 76800](https://tex.z-dn.net/?f=A%28L%29_%7Bmax%7D%3D640%28160%29-2%28160%29%5E2%5Cimplies%2076800%20)
hence,the dimensions of the pen that will maximize the area are<u> </u><u>L=</u><u>1</u><u>6</u><u>0</u><u>m</u><u> </u>and<u> </u><u>W=</u><u>7</u><u>6</u><u>8</u><u>0</u><u>0</u><u>/</u><u>1</u><u>6</u><u>0</u><u>=</u><u>4</u><u>8</u><u>0</u><u>m</u>
and we're done!