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:
412 is the quotient
Step-by-step explanation:
14 goes into 5768 412 times.
1, 1.84+2= 1.84+2.00=3.84
3, 0.90+2= 0.90+2.00 = 2.90
4, 0.5+5= 0.5+5.0=5.5
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Answer:
-3
Step-by-step explanation:
Therefore, the only statement that is equivalent to <em>"the </em><em>price decreased</em><em> by </em>
<em>"</em> is:
<u>F. The price is now </u><u>66, 2/3% </u><u>of what it was before</u>
<u />
<u />
Given that the original price of something decreased by 1/3, it means:
the original price is reduced by one-third.
- One-third is not equal to half of the price.
- 1/3 of the original price would be
33.3% less of the original price.
- This means that the new price would be: <em><u>100 - 33 = 66% of the </u></em><em><u>original price.</u></em> This shows a reduction in price. The price would drop.
- 1/3 is more than a quarter (1/4).
<em>Any option showing or suggesting an increase is definitely the wrong answer.</em>
Therefore, the only statement that is equivalent to <em>"the </em><em>price decreased</em><em> by </em>
<em>" </em>are:
<u><em>F. The price is now </em></u><u><em>66, 2/3% </em></u><u><em>of what it was before</em></u>
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brainly.com/question/11293133