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attashe74 [19]
3 years ago
6

A rectangular plot of farmland will be bounded on one side by a river and on the other three sides by a single-strand electric f

ence. With 400 m. of wire at your disposal what is the largest area that you can enclose, and what are its dimensions? Use the convention that length is longer than the width.
Mathematics
1 answer:
Tpy6a [65]3 years ago
7 0
<span>2x+y=400 A=xy area of farmland y=400-2x A=400x-2x^2 A'(x)= 400 -4x derivative of area with respect to x 0=400-4x find out where f ' equals 0 4x=400 x=100 A'(x)= 400 -4x A''(x)= -4 check 2nd derivative. if negative then relative max at x=100 2x+y=400 y=200 dimensions 100x200 hope it helped</span>
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3) When mixing a paint color, you need to use 2 gallons of white and 3 gallons of blue. How many gallons of
elixir [45]

Answer:

I think the answer is 25

Step-by-step explanation:

So, if you add 2 and 3, you get 5.

Multiply 5 by 10 to get 50

Divide 50 by 2 to get 25

So, you'll need 25 gallons of paint.

Hope this helped!

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6 0
2 years ago
Paul wanted to bring his family to the Children’s Museum. There was an exhibit with carnival rides. The tickets for each ride we
Nostrana [21]

We want to define and solve a linear equation to model the given case.

The answers are:

a) x = number of tickets, y = total cost.

b) y = $1.35*x + $6.35

We know that:

The tickets for each ride were $1.35 per ticket.

Paul purchased 30 tickets

He spent a total of $46.85 (on tickets and admission)

The cost for the 30 tickets is:

30*$1.35 = $40.50

a) Now we can define two variables:

y = total cost

x = number of tickets

b) the linear equation would be:

y = $1.35*x + P

Where P is the price of admission.

And we know that the total cost for 30 tickets is $46.85, then we have:

$46.85 = $40.50 + P

$46.85 - $40.50 = P = $6.35

So the admission price is $6.35

This means that the linear equation is:

y = $1.35*x + $6.35

c) Brief explanation, we have the variable y that represents the total cost, it is equal to the admission price (which we found) plus $1.35 times the number of tickets bought (x).

If you want to learn more, you can read:

brainly.com/question/13738061

3 0
2 years ago
Will give brainliest pls help
Yakvenalex [24]
2:15 -40 2:16 -40 2:17 -40 2:18 -40 THE ANSWER IS -40
7 0
2 years ago
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What is the decimal of 1/4
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4 0
3 years ago
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Jenny has saved $3,800 over the last 12 months. She saved either $250 or $350 a month. During the 12 month period, how many time
Nana76 [90]

Answer:

Jenny save 4 times \$ 250 for the month

Step-by-step explanation:

Given Jenny has saved \$3,800 over the last 12 months.

She saved either \$250 or \$350 a month.

Let the number of months to save \$250 be x

Let the number of months to save \$350 be y

Total period is 12 month.

x+y=12 \ \ \ \ equation\ 1

Jenny has saved $3,800 over the last 12 months.

250x+350y=3800

Dividing both side from 50 we get,

\frac{250}{50}x+\frac{350}{50}y= \frac{3800}{50}

5x+7y=76 \ \ \ \ equation\ 2

Now Multiplying  equation 1 by 5 we get,

5\times(x+y)=5\times 12\\5x+5y=60\ \ \ \ equation \ 3

Now Subtracting Equation 3 by equation 2 we get,

(5x+7y=76)-(5x+5y=60)\\2y=16\\y=\frac{16}{2}= 8

Substituting the value of y in equation 1 we get,

x+y=12\\x+8=12\\x=12-8\\x=4

∴ Jenny save 4 Months of  \$ 250 and 8 Months of  \$ 350in a 12 month duration

4 0
2 years ago
Read 2 more answers
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