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
Elan Coil [88]
3 years ago
9

A contractor has 48 meters of fencing that he is going to use as the perimeter of a rectangular garden. The length of one side o

f the garden is represented by x, and the area of the garden is 108 square meters.
Determine, algebraically, the dimensions of the garden in meters.
Mathematics
1 answer:
Dahasolnce [82]3 years ago
3 0
Let the length of the garden be x and the width of the garden be y.

x*y = 108
2x + 2y = 48 giving x + y = 24 or y = 24 - x

substitute the second equation into the first,
x*(24-x) = 108
24x - x^2 = 108
x^2 - 24x + 108 = 0
(x-18)(x-6) = 0

So, x = 18 or x = 6.

But if x = 18, y = 6 and if x = 6, y = 18 so both solutions are actually the same with just the width and length swapped. So, your garden is 18 meters by 6 meters.

You might be interested in
Hillsdale's zoo has two elephants. The male elephant weighs 9 7/12 tons and the female elephant weighs 3 5/6 tons. How much more
Alex Ar [27]

Answer:

6 10/12

Step-by-step explanation:

thank u

7 0
3 years ago
Read 2 more answers
Assume the exponential growth model ​A(t)equals=Upper A 0 e Superscript ktA0ekt and a world population of 5.95.9 billion in 2006
Whitepunk [10]

Answer:

1.4% is the maximum acceptable annual rate of​ growth such that the population must stay below 24 billion during the next 100​ years.

Step-by-step explanation:

We are given the following in the question:

The exponential growth model ​is given by:

A(t) = A_0e^{kt}

where k is the growth rate, t is time in years and A_0 is constant.

The world population is 5.9 billion in 2006.

Thus, t = 0 for 2006

A_0 = 5.9\text{ billions}

We have to find the maximum acceptable annual rate of​ growth such that the population must stay below 24 billion during the next 100​ years.

Putting these values in the growth model, we have,

24 = 5.9e^{100k}\\\\k = \dfrac{1}{100}\ln \bigg(\dfrac{24}{5.9}\bigg)\\\\k = 0.01403\\k = 0.01403\times 100\% = 1.4\%

1.4% is the maximum acceptable annual rate of​ growth such that the population must stay below 24 billion during the next 100​ years.

8 0
3 years ago
Need help with geometry.
Ann [662]

Answer:

42

Step-by-step explanation:

3 0
3 years ago
Find the number that makes the ratio equivalent to 2:6.<br><br> 8:
Citrus2011 [14]
A ratio is used to describe how two or more quantities are related. For example, we might say that a fruit drink calls for sugar crystals to be mixed with water in a ratio of 2:6. This means that for every 2 scoops sugar crystals, there will need to be 6 ounces of water. If there were 200 scoops of sugar crystals, there would need to be 600 ounces of water.
4 0
3 years ago
Find the value of x<br><br> 2+4( 3 + 2x ) = 3x + 8
solniwko [45]
2 + 4(3+2x) = 3x + 8

2 + 12 + 8x = 3x + 8

14 - 8 = 3x - 8x

6 = -5x

x = -6/5
8 0
3 years ago
Read 2 more answers
Other questions:
  • What is an expression containing variables,numbers, and operation symbols?
    8·1 answer
  • Anyone know the answer to question b
    11·1 answer
  • The side length, s, of a cube is 4x^2+3. If V=s^3, what is the volume of the cube?
    6·1 answer
  • Angela opened a new bakery. She got orders for 2 cakes the first week, 4 cakes on the second week, and 8 cakes the third week. I
    12·1 answer
  • Line WV is perpendicular to both line RS and line TU. On a coordinate plane, 3 lines are shown. Line V W goes through (negative
    7·2 answers
  • Brian spins a fair spinner numbered 1 - 5 and flips a fair coin.
    9·1 answer
  • Help me see attachment
    13·1 answer
  • Donna borrowed $10, 500 at a simple interest rate of 4% for 3 years to buy her new car. How much interest would Donna pay and ho
    12·2 answers
  • Answer with explanation please
    9·1 answer
  • ANYONE PLEASE HELP ME IN MY MATH HOMEWORK I REALLY NEED THE ANSWER RIGHT NOW BECAUSE I HAVE TO PASS THIS TOMORROW:(
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!