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
ehidna [41]
3 years ago
15

Formulate the situation as a system of inequalities. (Let x represent the number of goats the farmer can raise and y represent t

he number of llamas.) A rancher raises goats and llamas on his 800-acre ranch. Each goat needs 4 acres of land and requires $110 of veterinary care per year, while each llama needs 10 acres of land and requires $88 of veterinary care per year. If the rancher can afford no more than $14,520 for veterinary care this year, how many of each animal can he raise?
Mathematics
1 answer:
Firdavs [7]3 years ago
5 0

Answer: He can raise up to 40 goats and 100 llamas.

Step-by-step explanation:

Hi, to answer this question we have to write system of equations with the information given:

The space each goat needs (4) multiplied by the number of goats (x); plus The space each llama needs (10) multiplied by the number of llamas must be less or equal to the acre land available (800)

4x +10y ≤ 800 (acres)

The amount of veterinary care (in $) each  goat needs (110) multiplied by the number of goats (x); plus The  amount of veterinary care   each llama needs (88) multiplied by the number of llamas (y)must be less or equal to the Rancher's budget.(14520)

110x +88y ≤ 14,520 (cost)

Multiplying the first equation by 27.5, and subtracting the second equation to the first one:

110x + 275y ≤22,000

-

110x +88y ≤ 14,520

____________

187y ≤ 7480

y ≤ 7480/187

y ≤ 40

Replacing y in the first equation

4x +10(40) ≤ 800

4x +400 ≤ 800

4x ≤ 800-400

4x ≤ 400

x ≤ 400/4

x ≤ 100

You might be interested in
The two top NBA players played a basketball game against the RSM team. Together the NBA players made 85 baskets, scoring one poi
sergejj [24]

Answer:

54 three- point field goals

Step-by-step explanation:

184 points = <em>x </em>free throws and 3<em>y </em> three-point field goals

x= 22 free throws, each one is 1 point

184 - 22 = 162

162 ÷ 3 = 54

54=y

54 three point field goals

7 0
2 years ago
Read 2 more answers
Rick buys a 1966 Mustang for $3,000, planning to restore and sell the car. He goes on to spend $9,000 restoring the car. At this
White raven [17]

Answer

He would lose 2000 dollars either way so it doesn't really matter.

Step-by-step explanation:

6 0
3 years ago
How do u do this step by step ? -8 ÷ 3.2​
Ad libitum [116K]

Answer:

the answer is -2.5

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
What percent of 75.5 is 81.54
lutik1710 [3]
If you would like to know what percent of 75.5 is 81.54, you can calculate this using the following steps:

x% of 75.5 is 81.54
x% * 75.5 = 81.54
x/100 * 75.5 = 81.54
x = 81.54 * 100 / 75.5
x = 108%

Result: 108% of 75.5 is 81.54.
8 0
2 years ago
What is the equation of the line that passes through the point (-3, 4) and has a slope of 1?​
Tresset [83]

Answer:

the eq of line y= x+7 for sure

4 0
3 years ago
Other questions:
  • Use the number line below, where RS=7y+3, ST=2y+9, RT=14y-8<br>a. What is the value of y?<br>y=
    15·1 answer
  • Find the sum of the value of 8 in 387,562 and the value of 7 in 7,328,562
    9·1 answer
  • Suppose x is any positive number. Circle 1: center (0, 0) and radius 2x Circle 2: center (0, 0) and radius 10x Why is circle 1 s
    12·1 answer
  • Please someone give me the answer I'm about to rip my hair out
    8·2 answers
  • 1/8 of a cup of cinnamon was sprinkle evenly over some pieces of toast. if 1/32 of a cup was sprinkled on each piece, how many p
    7·2 answers
  • What is the equation for the line in slope-intercept form?<br> Enter your answer in the box.
    9·2 answers
  • Help please explain how you got the answer
    14·1 answer
  • Please help asap i just need the relationship and measure of x
    7·2 answers
  • I NEEDDD HELPPPP PLEASE ILL GIVE U BRAINLEST
    8·2 answers
  • Which of the two functions has the greater value for the y-intercept? Explain your reasoning. Which of the two functions has the
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!