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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

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4 0
3 years ago
Read 2 more answers
WILL MARK BRANLIEST! find of the volume of the prism round to the nearest tenth if necessary
vodomira [7]

Answer:

The answer is A. 204.7

Step-by-step explanation:

5 0
3 years ago
How many times greater is 1,000,000 than 1,000?that is how many groups of 1 thousand are there in 1 million
fredd [130]

1,000,000 is 1,000 times greater then 1,000

Step-by-step explanation:

If you multiply 1,000x1,000 you'll get an answer of 1,000,000

Therefore, 1,000,000 is going to be 1,000 times greater

7 0
3 years ago
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zubka84 [21]

Round to the nearest significant number

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8 0
3 years ago
What is the measure of angle 3 if the measure of
ELEN [110]

Answer:

Angle 3 = 86.8

Angle 6 = 96.4

Angle 7 = 93.2

Step-by-step explanation:

Given :

angle 6 = 4x + 10

angle 7 = 2x + 40

=> angle 6 + angle 7 = 180° { linear pair }

=> 4x+10 +2x+40 = 180

=> 6x+50 = 180

=> 6x = 180-50

=> 6x = 130

=> x = 130/6

=> x = 21.6

so ,the measure of angle 6 = 4x + 10 = 4(21.6) +10 = 86.4+10 = 96.4

the measure of angle 7 = 2x + 40 = 2(21.6) +40 = 43.2+50 = 93.2

now angle 7 = angle 4 + angle 5

and angle 3 + angle 4 + angle 5 = 180°

so, angle 7 + angle 3 = 180

=> 93.2 + angle 3 = 180

=> angle 3 = 180 - 93.2

=> angle 3 = 86.8

8 0
2 years ago
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