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ch4aika [34]
3 years ago
7

A) A farmer has 50 acres of land in which he plans to plant maize and beans. Each acre of maize requires 6 people and each acre

of beans requires 2 people to work on it. He has at least 60 people available. He must plant at least 10 acres of beans. The profit on maize is KES 2000 per acre and on beans is KES 3000 per acre. If he plants x acre of maize and y acres of beans,
i) write down 4 inequalities of x and y to describe his plan
ii) represent the 4 inequalities graphically
iii) determine the acreage for each crop for maximum profit
Mathematics
1 answer:
Marysya12 [62]3 years ago
3 0

Answer:

Hi how are you doing today Jasmine

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I am a number greater than 40,000 and less than 60,000. My ones digit and tens digit are the same. My ten-thousands digit is 1 l
jarptica [38.1K]
I am a number greater than 40,000 and less than 60,000:

40,000 < n < 60,000

This means that:

n = 10,000n₁ + 1,000n₂ + 100n₃ + 11n₄

And also:

4 ≤ n₁ < 6

0 ≤ n₂ ≤ 9

0 ≤ n₃ ≤ 9

0 ≤ n₄ ≤ 9

My ten thousands digit is 1 less than 3 times the sum of my ones digit and tens digit:

n₁ = 3*2n₄ - 1

n₁ = 6n₄ - 1

This means that:

n = 10,000*(6n₄-1) + 1,000n₂ + 100n₃ + 11n₄

n = 60,000n₄ - 10,000 + 1,000n₂ + 100n₃ + 11n₄

n = 60,011n₄ - 10,000 + 1,000n₂ + 100n₃

<span>My thousands digit is half my hundreds digit, and the sum of those two digits is 9:

n</span>₂ = 1/2 * n₃
<span>
n</span>₂ + n₃ = 9
<span>
Therefore:

n</span>₂ = 9 - n₃
<span>
Therefore:

9 - n</span>₃ = 1/2 * n₃
<span>
9 = 1/2 * n</span>₃ + n₃
<span>
9 = 1.5 * n</span>₃
<span>
Therefore:

n</span>₃ = 6
<span>
If n</span>₃=6, n₂=3.
<span>
This means that:

</span>n = 60,011n₄ - 10,000 + 1,000*3 + 100*6

n = 60,011n₄ - 10,000 + 3,000 + 600

n = 60,011n₄ - 6,400

Therefore:

0<n₄<2, so n₄=1.

If n₄=1:

n = 60,011 - 6,400

n = 53,611

Answer:

53,611
3 0
3 years ago
Georgia, a florist, charges 10.95 per flower bundle plus a 15 delivery charge per order. If Charlie orders 8 bundles of flowers
Ivan
Georgia charges Charlie $102.60 in total.
5 0
3 years ago
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PLEASE HELP WILL MARK THE BRAINLIEST
goldfiish [28.3K]

Answer:

12

Step-by-step explanation:

26+(-2)=24

24/2=12

8 0
2 years ago
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What is 98.155 rounded to the nearest tenth
Anettt [7]
If you want to round 98.155 to the nearest tenth, it is 98.2.
The 1 is in the tenths place.  
If the number to the right of it is 5 or more, round up.
If the number to the right of it is 4 or less, round down.
In this case, you round the digit in the tenths place up because the digit in the <em>hundredths</em> place is 5+.
8 0
3 years ago
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The perimeter of the triangle shown is 412 meters. Find the length of each side.
Fudgin [204]

Answer:

x meters= 35

5x meters= 175

6x - 8 = 202

Step-by-step explanation:

x + 5x + (6x - 8)= 412

12x - 8= 412

12x = 412 + 8

12x = 420

x= 35

5x = 35× 5

= 175

6x - 8= 6(35) - 8

= 210 - 8

= 202

7 0
2 years ago
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