1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
max2010maxim [7]
1 year ago
6

John wants to construct a dog pen at the back of his garage. he will use the wall of the garage as one side of the pen and will

construct the rest of the rectangular pen from 28 yards of fencing. what is the maximum area that can be achivied for the dog pen? square yards
Mathematics
1 answer:
Komok [63]1 year ago
8 0

If . he will use the wall of the garage as one side of the pen and will construct the rest of the rectangular pen from 28 yards of fencing. The maximum area that can be achieved for the dog pen is: 392 yards².

<h3>Maximum area </h3>

Let x represent the  width of the fence

Let the two widths represent  2x

Let the  length of one side represent 28-x

Let A represent Area

Hence,

A=x(28-x)

=-x²+28x

Using calculus or vertex = -b/2a,

x value = -28/-2

x = 14

2x = 28

So,

Maximum area= 14 ×28

Maximum area = 392 yards²

Therefore the maximum area is 392 yards².

Learn more about maximum area here: brainly.com/question/16665507

#SPJ1

You might be interested in
4 1/3 u^5v^3·(3 1/4 u^3v^2−v^2+u)
QveST [7]
You can go to the app Photomath if you want the step of the explanation

6 0
3 years ago
A rectangular building for a gym is three times as long as it is wide. Just inside the walls of the building, there is a 6ft rec
lisov135 [29]

The equation 3x² - 48x + 6856 represents the area of the gym and track together in terms of width.

<h3>What is the area of the rectangle?</h3>

It is defined as the area occupied by the rectangle in two-dimensional planner geometry.

The area of a rectangle can be calculated using the following formula:

Rectangle area = length x width

We have:

A rectangular building for a gym is three times as long as it is wide. Just inside the walls of the building, there is a 6ft rectangular track along the walls of the gym and has an area of 7000ft²

Let x be the width of the rectangle.

As the area of track along the walls of the gym is 7000ft²

(x - 12)(3x - 12) = 7000

After simplifying:

3x² - 48x + 6856 = 0

Thus, the equation 3x² - 48x + 6856 represents the area of the gym and track together in terms of width.

Learn more about the rectangle here:

brainly.com/question/15019502

#SPJ1

3 0
1 year ago
Using the numbers and symbols, solve 7x = 42
spin [16.1K]

Answer:

you currently have the value of x × 7, you need to divide it by 7 to find the value of x.

42 ÷ 7 = 6

Step-by-step explanation:

4 0
3 years ago
On a scale drawing a school is 1.6 feet tall the scale factor is 1/22 find the height of the school
vodomira [7]

I believe the school is 35.2 ft. tall. call me out if I'm wrong.

5 0
3 years ago
Mrs. Swanson gives out only one type of candy for Halloween. The local
xxTIMURxx [149]

Answer:

Cost of  18 pounds candy  = $22.5

Cost of 10 pounds candy = $12.5

Cost of 1 pound of candies  = $1.25

Step-by-step explanation:

6 pounds of butterscotch candies cost  $7.50

⇔ 1 pound of same candy costs \frac{7.50}{6}   =   $1.25

Now, we need to find the cost of 18 pounds of candy:

as, the cost of 6 pounds candy = $7.50

⇔   Cost of 6 x 3 =  18 pounds candy =  $7.50 x  3 = $22.5

Cost of 10 pounds candy =  10 x (Cost of 1 pound candy)

= 10 x ($1.25)  = $12.5

The unit rate for butterscotch candies   = Cost of 1 pound of candies

= $1.25

8 0
2 years ago
Other questions:
  • Suppose that the quarterly sales levels among health care information systems companies are approximately normally distributed w
    9·1 answer
  • Show that 2 - sqrt(2) is irrational
    9·1 answer
  • two dice are rolled find the probability that the sum of the numbers appears on the upper face of dice is equal to 9​
    7·1 answer
  • on monday at the county fair jared played a game and won 75 tickets . On Tuesday he won 105 tickets on wednesday , he won 127 ti
    14·2 answers
  • jolie brought balls of green and blue color thirty five percent of ball are blue if she brought total of 300 balls how many gree
    10·1 answer
  • [4 marks
    6·1 answer
  • PLEASE HELP ME
    6·1 answer
  • I’ll really appreciate it if you help me out on this on .
    5·1 answer
  • What is the value of 3 ^ -3
    14·1 answer
  • I NEED HELP PLEASE!!!! I WILL MARK AS BRAINLIEST!!!
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!