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frosja888 [35]
3 years ago
7

You have 1200 feet of fencing and you want to make two fenced in enclosures by splitting one enclosure in

Mathematics
1 answer:
NARA [144]3 years ago
7 0

Let x = length and y = width

You would have 2 lengths, so 2x and 3 widths, so 3y

Those need to equal total length of fence:

2x + 3y = 1200

The 3 widths would equal total fence minus the 2 lengths:

3Y = 1200-2x

Solve for y: y = 400 -2/3x

Area = length x width = xy. Replace y :

Area = x(400-2/3x) = 400x-2/3x^2

Differentiate:

400-4x/3 =0

4x/3 = 400

4x = 1200

X = 300

Y = 400-2/3(300) = 200

The dimension would be 300 ft x 200 ft

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One hundred times the quantity six plus five
Andru [333]
100 times (6+5)
100 times 11
100 groups of 11=1100
Hope I helped:)

3 0
3 years ago
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A motorboat takes 5 hours to travel 100mi going upstream. The return trip takes 2 hours going downstream. What is the rate of th
Temka [501]
The boat went 5hours upstream, let's say it has a "still water" speed rate of "b", it went 100miles... however, going upstream is going against the current, let's say the current has a speed rate of "c"

so, when the boat was going up, it wasn't really going "b" fast, it was going " b - c " fast, because the current was eroding speed from it

now, when coming down, the return trip, well the length is the same, so the distance is also 100miles, it only took 2hrs though, because, the boat wasn't coming down  "b" fast, it was coming down " b + c " fast, because the current was adding speed to it, so it came down quicker

now, recall your d = rt, distance = rate * time

\bf \begin{array}{lccclll}
&distance&rate&time\\
&-----&-----&-----\\
upstream&100&b-c&5\\
downstream&100&b+c&2
\end{array}
\\\\\\
\begin{cases}
100=(b-c)5\\
\qquad \frac{100}{5}=b-c\\
\qquad 20=b-c\\
\qquad 20+c=\boxed{b}\\
100=(b+c)2\\
\qquad 50=b+c\\
\qquad 50=\boxed{20+c}+c
\end{cases}

solve for "c", to see what's the current's speed

what's "b"?  well 20+c = b
4 0
3 years ago
On a certain hot summers day, 648 people use the public swimming pool. The daily prices are $1.50 for children and $2.25 for adu
ehidna [41]

Answer:

252 children and 395 adults

Step-by-step explanation:

Make a linear system of equations, where x represents the number of children and y represents the number of adults

x+y=648

1.50x+2.25y=1269

solve using substitution, so y=648-x,

then substitute this into the second equation, so you get 1.50x+2.25(648-x)=1269,

solve for x and you will get x equals the 252

then substitute this into the first equation, so you get 252+y=648

solve and you will get y=395

3 0
3 years ago
If a^2 + b^2=c^2 then the triangle is a right triangle.
NARA [144]

Answer:

False

Step-by-step explanation:

Measurements are too long on the A leg and B leg for it to be connected by a 12 in leg.

4 0
3 years ago
Jake has 12 sheep all but 9 die how many does he left ?<br> 12<br> 9<br> 3
Liula [17]

Answer:

Jake has 9 sheep left

Step-by-step explanation:

As the question says, Jake has 12 sheep and all but 9 die. This means that he has 9 sheep left.

6 0
3 years ago
Read 2 more answers
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