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
lesya692 [45]
2 years ago
6

Cisco and Misty need to construct a chicken coop for their famous egg-laying hens. The hens need at least 108 square feet of liv

ing space. The space available allows Cisco and Misty to make the length of the coop 3 feet longer than the width and to create exactly 108 square feet of area. What are the dimensions of the coop?
Mathematics
1 answer:
erica [24]2 years ago
7 0

The dimensions of the coop are length = 12 ft and width = 9 ft

<h3>Area of the coop</h3>

Since the coop is a rectangle, the area of the coop is A = LW where

  • L = length of coop and
  • W = width of coop.

Now, the length of the coop 3 feet longer than the width, so, L = W + 3

Now, the area of the coop A = 108 ft²

So, A = LW

A = (W + 3)W

108 = W² + 3W

Re-arranging,

W² + 3W - 108 = 0

So, we solve the equation to find the width of the coop

<h3>Width of coop</h3>

W² + 3W - 108 = 0

Factorizing, we have

W² + 12W - 9W - 108 = 0

W(W + 12) - 9(W + 12) = 0

(W + 12)(W - 9) = 0

W + 12 = 0 or W - 9 = 0

W = -12 or W = 9

Since W cannot be negative, W = 9

<h3>Length of coop</h3>

Since L = W + 3

Substituting the value of W into L, we have

L = W + 3

L = 9 + 3

L = 12 ft

So, dimensions of the coop are length = 12 ft and width = 9 ft

Learn more about dimensions of coop here:

brainly.com/question/15558785

You might be interested in
12. Find the midpoint of AB if A(-3, 8) and<br> B(-7,-6).
d1i1m1o1n [39]

Answer: (-4,2)

Step-by-step explanation:

you just subtract -3 minus -7 and 8- -6

5 0
3 years ago
Solve the equation by completing the square. Round to the nearest hundredth if necessary. x2 – 4x = 5
saw5 [17]

The solution to x^2 - 4x = 5 is x = -1 or 5

<h3>How to solve the equation?</h3>

The equation is given as:

x^2 - 4x = 5

Take the coefficient of x

k = -4

Divide by 2

k/2 = -2

Square both sides

(k/2)^2 = 4

Add this value to the sides of the equation

x^2 - 4x + 4= 5 + 4

Express as a difference of two squares

(x - 2)^2 = 9

Take the square root of both sides

x - 2 = ±3

Add 2 to both sides

x = 2 ± 3

Evaluate

x = -1 or 5

Hence, the solution to x^2 - 4x = 5 is x = -1 or 5

Read more about quadratic equations at:

brainly.com/question/10449635

#SPJ1

4 0
2 years ago
10 Points + BRANIEST
S_A_V [24]

Answer:

Step-by-step explanation:

So, we’re probably looking at a n9-m0 cusp, since adding 0 to a number gives a sum lower than adding 9 to a slightly smaller number, something that isn’t true elsewhere in the cycle.

We need a n9 where the sum n+9 is divisible by 3. 9 is divisible by 3 already, so n must be divisible by 3 as well. So, it’s 0, 3, 6, or 9.

Taking as the most likely 3 (because a 39 year old is more likely than a 9 year old, 69 year old, or 99 year old to have a child who doesn’t already know their father’s age) we’ll try 39, 40. 3+9=12, 4+0=4, 12/3=4, this is a possible solution.

     

Do the others work?

0+9=9, 1+0=1, 9/4=/=1

6+9=15, 7+0=7, 15/4=/=7

9+9=18, 1+0+0=1, 18/4=/=1

1+2+9=12, 1+3+0=4, 12/3=4

there are at least two possibles. the father was correct, the father cannot determine his age from what she has been told, she must guess. From what she knows of him, is it more likely that he’s 39, or 129, or even older?

7 0
2 years ago
Is 12 c greater or less than 3 qt
Paraphin [41]
1 quart=4 cups
So 12 cups=3 quarts
12 cups is neither greater nor less than 3 quarts
3 0
3 years ago
Read 2 more answers
Sunny's garden has 9 tomato plants, 5 pepper plants, 3 squash plants, and 6 pumpkin plants. For every 3 tomato plants in Sunny's
Morgarella [4.7K]
9 total tomato plants  /  3 plants = 3

from the list of plants there are 3 squash plants

3 squash plants x 3 tomato plants = 9 total tomato plants

 the answer is Squash Plants

6 0
3 years ago
Read 2 more answers
Other questions:
  • What are the zeros of the equation -90 =x(x-18)
    6·1 answer
  • We want to estimate the population mean within 5, with a 99% level of confidence. the population standard deviation is estimated
    9·1 answer
  • Find the height of the liquid in the glass pictured. Show all steps.
    15·2 answers
  • Use factoring to write an expression that is equivalent to 28w - 40.
    8·2 answers
  • Whats -0.13333333333 rounded to the nearest hundredth<br> PlEaSe HeLp Me!!!
    7·1 answer
  • Using the equation 4x^3-6x^2-144x+8, find the function values f(-3) and f(-4) at the interval {-4,5}
    7·1 answer
  • Zachary looked at how many people ride the morning ferry. He made a dot plot for the data.
    6·2 answers
  • PLSSS ANWSER QUICK!! HASSS TO BE RIGHTT. will mark you brainliest if you anwser right!! plus 10 points!
    6·1 answer
  • Find the slope of the line that passes through (5, 13) and (9, 10).
    8·1 answer
  • i a stoc kcar model is built to scale of 1 cm : 2.5 ft and the model measures 7.7 cm in length, what will be the length of actua
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!