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
Eva8 [605]
3 years ago
9

An expecting mother wants to convert a corner of the nursery in her house into a rectangular playpen by enclosing the corner of

the room with two fences. if the woman has 10 feet of fencing material, what is the maximum area the playpen could encompass?
Mathematics
1 answer:
Elena-2011 [213]3 years ago
5 0

  10=1+9            1x9=9
   =2+8            2x8=16
   =3+7            3x7=21
   =4+6            4x6=24
   =5+5            5x5=25
↑ Left: the possible measurements of the two fences, Right: the possible areas

out of the areas calculated, 25 sq feet is the maximum. :)

Ans: 25 square feet


You might be interested in
PLEASE HELP! WILL MARK BRAINLIEST
Veseljchak [2.6K]

The value of x is 3, while the length of the rectangle is 30 units and the width is 24 units.

<h3>How to determine the dimensions?</h3>

The given parameters are:

Base = 5(x+3)

Height = 2(x+9)

Perimeter = 108

The perimeter of a rectangle is

P = 2 *(Base + Height)

So, we have:

2 *(5(x + 3) + 2(x + 9)) = 108

Divide both sides by 2

5(x + 3) + 2(x + 9) = 54

Open the brackets

5x + 15 + 2x + 18 = 54

Evaluate the like terms

7x = 21

Divide by 7

x = 3

Substitute x = 3 in Base = 5(x+3) and Height = 2(x+9)

Base = 5(3+3) = 30

Height = 2(3+9) = 24

Hence, the value of x is 3, while the length of the rectangle is 30 units and the width is 24 units.

Read more about perimeter at:

brainly.com/question/24571594

#SPJ1

5 0
2 years ago
An architect is making a scale model of a building. The model is 18.5 inches wide and 36.5 inches tall. If the actual building i
Nastasia [14]

Answer:

The height of the building is 730 feet.

Step-by-step explanation:

370 x 12 = 4,440 inches

4,440 ÷ 18.5 = 240 inches

240 x 36.5 = 8,760 inches = 730 feet

3 0
3 years ago
The ratio of boys to girls in a class is 5:3. There are 32 students in the class. How many students are boys?
yan [13]

Answer: There are 20 boys

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
At a football game, Ben purchased x hot dogs and y drinks. He spent a total of $30.70. The equation below describes the relation
Yuki888 [10]
So I had to reread this about 3 times before it finally clicked, I've never done a problem like this before. An ordered pair is organized like so: (x-coordinate, y-coordinate) Meaning x=4 and y=6. If x=hot dogs and y=drinks then this means that Ben purchased 4 hot dogs and 6 drinks at the game. 

Hope this helps!! (:
6 0
3 years ago
The ratio of green pepper plants to red pepper plants in Joe's garden is 2:7. If Joe has 20 more red pepper plants than green pe
Marta_Voda [28]
I found that Joe has 28 red pepper plants and 8 green pepper plants.

to find this, I first set up a proportion:
7/2 = (20+x)/x

then you cross multiply giving you:
7x = 40 + 2x

Subtract 2x from both sides:
5x = 40

solve for x:
x = 8 (which is the amount of green pepper plants)

to find how many red pepper plants he has, plug in x for (20 + x) giving you 28 red pepper plants

Hope I helped :)
5 0
3 years ago
Other questions:
  • Filo earns $8 per hour, but he buys lunch for $5. How much money does he have left after he works x number of hours a day? Write
    12·1 answer
  • A teacher has a 2-gallon (32-cup) container of juice. She gives each student One-half cup of juice. Which equation represents th
    11·1 answer
  • Could anyone help me? I will mark you as brain liest who ever helps me!​
    14·2 answers
  • 5:c :: 30:42 solve the proportion
    6·1 answer
  • Defined by distinct lines which intersect at right angles and at exactly one point.
    11·1 answer
  • The measures of a triangle in the extended ratio 2:3:4.What is the measure of the smallest angle?
    7·2 answers
  • the dinner bill came to $24.39 before taxes or tip. if the taxes were 6% and they decided to leave a 18% tip, what was the total
    9·1 answer
  • Find an equation in standard form for the hyperbola with vertices at (0, ±4) and asymptotes at y = ±2/3x.
    10·1 answer
  • A movie theater sells up to 10 tickets at a time online. What is the domain of this graph?
    12·2 answers
  • What is the slope of the line that passes through the points (10, 3) and (2, 3) ?
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!