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
OverLord2011 [107]
3 years ago
9

Riley has a farm on a rectangular piece of land that is 200200200 meters wide. This area is divided into two parts: A square are

a where she grows avocados (whose side is the same as the length of the farm), and the remaining area where she lives.
Every week, Riley spends \$3$3dollar sign, 3 per square meter on the area where she lives, and earns \$7$7dollar sign, 7 per square meter from the area where she grows avocados. That way, she manages to save some money every week.



Write an inequality that models the situation. Use lll to represent the length of Riley's farm.
Mathematics
1 answer:
777dan777 [17]3 years ago
7 0

Answer:

The inequality that models the situation for her to have money to save is

7L² > 3(200L - L²)

On simplifying and solving,

L > 60 meters

Step-by-step explanation:

The length of her farm = L meters

The farm where she grows avocados is of square dimension

Area of the farm = L × L = L²

The piece of land is 200 m wide.

Total area of the piece of land = 200 × L = (200L) m²

If the area of her farm = L²

Area of the side where she lives will be

(Total area of the land) - (Area of the farm)

= (200L - L²)

= L(200 - L)

Every week, Riley spends $3 per square meter on the area where she lives, and earns $7 per square meter from the area where she grows avocados.

Total amount she earns from the side she grows the avocados = 7 × L² = 7L²

Total amount she spends on the side where she lives = 3 × (200L - L²) = 3(200L - L²)

For her to save money, the amount she earns must be greater than the amount she spends, hence the inequality had to be

(Amount she earns) > (Amount she spends)

7L² > 3(200L - L²)

To simplify,

7L² > 3L(200 - L)

Since L is always positive, we can divide both sides by L

7L > 3(200 - L)

7L > 600 - 3L

10L > 600

L > 60 meters

Hope this Helps!!!

You might be interested in
List the prime numbers between 60 and 80
natulia [17]
61, 63, 67,71,73,79,81,83
7 0
3 years ago
Read 2 more answers
A bag contains 3 red, 6 blue, 5 purple, and 2 orange marbles. One marble is selected at
Deffense [45]

Answer:

60 percent i hope this helped.

Step-by-step explanation:

each have a a possibility of 10 and there's 6 of of 10 compared to 3 out of 10.

5 0
3 years ago
Read 2 more answers
Find the midpoint of the segment with given endpoints k(1.7,-7.9) and l(8.5,-8.2)
zhenek [66]
I think it would be 5.2
6 0
3 years ago
Please help no links
kap26 [50]

Answer: B or C

Step-by-step explanation:

if u can compare the triangles u u can use ur math and get the answer

3 0
3 years ago
Read 2 more answers
Which of the following numbers can be expressed as repeating decimals?
GalinKa [24]

Answer:

It's \frac{2}{9} and \frac{5}{6}

3 0
2 years ago
Read 2 more answers
Other questions:
  • Lisa can run a mile in 7 minutes. At the rate of speed, how long would it take her to run two kilometers explain pls!!
    10·2 answers
  • Jasmine owns a jewelry store and marks up the price from the distributor to earn a profit. She buys a necklace for $100, a pair
    14·1 answer
  • Toe rings $6 wants to profit 90%
    14·1 answer
  • Mark ran 4 3/4 miles on Monday and 2 1/5 ​ miles on Tuesday.
    12·1 answer
  • Brian already has two plants in his backyard, and he also grew on plant with every seed packet he uses. With six seed packets, h
    15·1 answer
  • What is 5 times 5root5
    13·2 answers
  • Wilma is twice as old as Jamal, and Jamal is 3 years older than Tim. The sum of all their ages is 17.
    11·1 answer
  • What are the values of a and r of the geometric series?
    11·1 answer
  • There are 4 red marbles, 3 blue marbles, and 13 green marbles in a bag.
    10·1 answer
  • Which statement about the hyperbola is true?
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!