Let width = w
Let length = l
Let area = A
3w+2l=1200
2l=1200-3w
l=1200-3/2
A=w*l
A=w*(1200-3w)/2
A=600w-(3/2)*w^2
If I set A=0 to find the roots, the maximum will be at wmax=-b/2a which is exactly 1/2 way between the roots-(3/2)*w^2+600w=0
-b=-600
2a=-3
-b/2a=-600/-3
-600/-3=200
w=200
And, since 3w+2l=1200
3*200+2l=1200
2l = 600
l = 300
The dimensions of the largest enclosure willbe when width = 200 ft and length = 300 ft
check answer:
3w+2l=1200
3*200+2*300=1200
600+600=1200
1200=1200
and A=w*l
A=200*300
A=60000 ft2
To see if this is max area change w and l slightly but still make 3w+2l=1200 true, like
w=200.1
l=299.85
A=299.85*200.1
A=59999.985
Answer:
The 2nd deal is better
Step-by-step explanation:
First you divide the chicken nuggets by the price and then find how much one chicken nugget costs. In this case $10 divided by 8 is $1.25 while $7.50 divided by 5 is $1.50. The first deal costs more for one chicken nugget so deal 2 is better
<span><span><span>82</span>=64</span><span><span>82</span>=64</span></span>choices for that.
Now, for the second one, we can't be in the row or column of that first one, so leaving us with <span><span><span>72</span>=49</span><span><span>72</span>=49</span></span> choices.
Then so on, we have <span><span><span>62</span>=36</span><span><span>62</span>=36</span></span> for the third one, <span>2525</span> for the fourth one, and so on <span>……</span>
But, however, we have to remember the rooks are not labeled, thus it doesn't matter specifically about a specific rook's position.
Thus, we have a total of <span><span><span><span>(8!<span>)2</span></span><span>8!</span></span>=40320</span><span><span><span>(8!<span>)2</span></span><span>8!</span></span>=40320</span></span> ways.
Answer:
1.25 hours
Step-by-step explanation:
While driving on the highway, Mason put his car on cruise control at 68 miles per hour. Therefore it takes 1.25 hours to drive 85 miles.