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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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What is 8 21/40 I don't understand how to do it
yaroslaw [1]
Hey, there !

If you want to know it as a "improper fraction" , you can

Multiply the denominator from the front number
Whatever the denominator and front number is , you add it to the numerator

So, for this problem we first have the multiply the front number from the denominator

Like: 8 (40)
That gives us the answer of: 320

Now we have to add 320 to 21

Like: 320 + 21

That gives us the answer of:341

We keep our denominator (which is "40" )

Your improper fraction would be:

341 / 40

Good luck on your assignment and enjoy your day!

~MeIsKaitlyn:)
3 0
3 years ago
Read 2 more answers
The initial population of a town is 3600​, and it grows with a doubling time of 10 years. What will the population be in 8 ​year
shutvik [7]
If is doubles in 10 years, then you should divide 2 by 10 to get the yearly growth rate equaling 1/5. Multiply 1/5 by 8 equals 8/5= 1 3/5. multiply that number by 3600, giving you 5,760.
8 0
3 years ago
Help pls if u can..<br><br><br><br> thanks!
GREYUIT [131]

Answer:

A) Rational

B) Irrational

C) Rational

D) Irrational

Step-by-step explanation:

Irrational numbers cannot be expressed as a ratio of two number, whereas rational numbers can be. 81 can be expressed as 9*9 whereas, 89 cannot be expressed as ratio of two numbers.

3 0
3 years ago
A concert hall has 8,000 seats and two categories of ticket prices, $29 and $34. Assume that all seats in each category can be s
Greeley [361]

Using a system of equations, it is found that:

  • For a profit of $255,000, 3400 tickets of $29 and 4600 tickets of $34 must be sold.
  • For a profit of $271,000, 200 tickets of $29 and 7800 tickets of $34 must be sold.
  • For a profit of $235,000, 7400 tickets of $29 and 600 tickets of $34 must be sold.

--------------------

The variables of the system are:

  • x, which is the number of $29 tickets sold.
  • y, which is the number of $34 tickets sold.

Total of 8,000 seats, all can be sold, thus:

x + y = 8000 \rightarrow x = 8000 - y

--------------------

For a profit of $255,000, we have that:

29x + 34y = 255000

29(8000 - y) + 34y = 255000

5y = 23000

y = \frac{23000}{5}

y = 4600

x = 8000 - 4600 = 3400

For a profit of $255,000, 3400 tickets of $29 and 4600 tickets of $34 must be sold.

--------------------

For a profit of $271,000, we have that:

29x + 34y = 271000

29(8000 - y) + 34y = 271000

5y = 39000

y = \frac{39000}{5}

y = 7800

x = 8000 - 7800= 200

For a profit of $271,000, 200 tickets of $29 and 7800 tickets of $34 must be sold.

--------------------

For a profit of $235,000, we have that:

29x + 34y = 235000

29(8000 - y) + 34y = 235000

5y = 3000

y = \frac{3000}{5}

y = 600

x = 8000 - 600 = 7400

For a profit of $235,000, 7400 tickets of $29 and 600 tickets of $34 must be sold.

A similar problem is given at brainly.com/question/22826010

3 0
3 years ago
The difference between a and b is 10. The number a is 4 more than 3 times the number b. Which of the following pairs of equation
k0ka [10]

Answer:

D. a−b=10 a=3b+4

Step-by-step explanation:

Difference between a and b means to subtract b from a

We have,

a-b=10

a is 4 more than 3 times b

4 more than means to add 4

3 times b means to multiply b by 3

Therefore, a=3 times b + 4

a=3b+4

a - b=10; a=3b+4

4 0
4 years ago
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