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
AnnZ [28]
1 year ago
8

Beth is going to enclose a rectangular area in back of her house. the house wall will form one of the four sides of the fenced i

n area, so beth will only need to construct three sides of fencing. beth has 48 feet of fencing. she wants to enclose the maximum possible area. what amount of fence should beth use for the side labeled x?
Mathematics
1 answer:
Alina [70]1 year ago
7 0

The maximum possible area would have a length of 24 feet and width of 12 feet.

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

An independent variable is a variable that does not depend on other variables while a dependent variable is a variable that depends on other variables.

Let x represent the length and y represent the width, hence:

Since beth has 48 ft fencing and cover 3 sides, hence:

x + 2y = 48  

x = 48 - 2y     (1)

Also:

Area (A) = xy

A = (48 - 2y)y

A = 48y - 2y²

The maximum area is at A' = 0, hence:

A' = 48 - 4y

48 - 4y = 0

y = 12 feet

x = 48 - 2(12) = 24

The maximum possible area would have a length of 24 feet and width of 12 feet.

Find out more on equation at: brainly.com/question/2972832

#SPJ1

You might be interested in
Please Help! (Image below)
Ivan

Answer:

A is the correct answer

Step-by-step explanation:

I just did this problem

7 0
3 years ago
Mary has a collection of nickels and quarters for a total of $4.90. If she has 42 coins in total, how many of each kind are ther
damaskus [11]

Answer:

14 quarters and 28 nickels

Step-by-step explanation:

System of Equations where x = number of quarters and y = number of nickels

(1) equation with value of each coin

    0.25(x)+0.05(y) = 4.90

(2) total number of coins

    x + y = 42

Solve system of equations using either substitution or elimination

(elimination multiplying equation 2 by -0.5)

.25(x) + 0.05(y) = 4.90

-0.05(x) - 0.05(y) = 42 * (-0.05)

(3) Resulting equation

.20(x) = 2.8

x = 14

plug x into equation 2

14 + y = 42

y = 28

There are 14 quarters and 28 nickels in Mary's collection.

5 0
3 years ago
Simplify. (3 + 2) + (4 + 3) =
Gala2k [10]

Answer:

5 + 7

Step-by-step explanation:

3 + 2 = 5, 4 + 3 = 7

5 0
3 years ago
Read 2 more answers
Given f(x)2x and g(x) = x^2+3 , find f(g(x)).
MakcuM [25]

Answer:

2x^2 + 6.

Step-by-step explanation:

Replace the x in f(x) by g(x):

f(g(x)) = 2(x^2 + 3)

= 2x^2 + 6.

8 0
3 years ago
Examine the diagram, where AB←→ is secant to the circle at points A and B, and CD←→ is secant to the circle at points C and D. T
soldier1979 [14.2K]

In the secant secant theorem,

AP × BP = CP × DP

AP × 6 = 7 × 12

AP = 7 × 2 = 14

Answer: 14

5 0
2 years ago
Other questions:
  • A cable installer charges 40 per hour plus a 60 service charge your father firm hires to hook up his company's internet service
    5·1 answer
  • Find the value of 5x-10 given that - 2x +7=3.
    13·1 answer
  • 12. A fruit basket contains oranges and grapefruits. One-third of the orange
    11·1 answer
  • A trains leaves Cincinnati at 2:00 pm.A second train leaves the same station in the same direction at 4:00 pm.The second train t
    11·1 answer
  • No, that does not make sense. When you subtract, you add the opposite. That means you’re adding two positive numbers. When you a
    11·1 answer
  • ___________ Qualitative Inferential Descriptive Quantitative statistics consists of organizing and summarizing information​ coll
    14·1 answer
  • A ferris wheel can accommodate 40 people in 20 minutes.how many people can ride the ferris wheel in 3 hours?
    7·2 answers
  • HELP I RLLY NEED IT
    15·1 answer
  • Which graph shows the line y - 2 = 2(x + 2)?
    13·1 answer
  • A bag contains 6 red marbles, 5 blue marbles and 7 green marbles. If three marbles are drawn out of the bag, what is the exact p
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!