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Fudgin [204]
3 years ago
7

A certain city with population of 132,000 is to be divided into 11 voting districts, and no district is to have a population tha

t is more than 10 percent greater than the population of any other district. What is the minimum possible population that the least populated district could have? A. 10,700 B. 10,800 C. 10,900 D. 11,000 E. 11,100
Mathematics
1 answer:
galben [10]3 years ago
4 0

Answer: Therefore, Option 'D' is correct.

Step-by-step explanation:

Since we have given that

Number of population = 132000

Number of voting districts = 11

According to question,  no district is to have a population that is more than 10 percent greater than the population of any other district.

Let the number of population that the least populated district could have be 'x'.

So, it becomes,

x+10(1.1x)=132000\\\\x+11x=13200\\\\12x=132000\\\\x=\dfrac{132000}{12}\\\\x=11000

Hence, there are 11000 population that the least populated district could have.

Therefore, Option 'D' is correct.

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A company manufactures two types of electric hedge trimmers, one of which is cordless. The cord-type trimmer requires 2 hours to
Delvig [45]

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal = ≥

The inequalities that describe the constraints on the number of each type of hedge trimmer produced are:

x + y ≤ 200

2x + 10y ≤ 1000

<h3>What is inequality?</h3>

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal = ≥

We have,

Total number of hours = 1000

Total number of trimmers = 200

Let x represent the number of cord-type models,

Let y represent the number of cordless models.

Now,

x + y ≤ 200

2x + 10y ≤ 1000

Thus,

The inequalities that describe the constraints on the number of each type of hedge trimmer produced are:

x + y ≤ 200

2x + 10y ≤ 1000

Learn more about inequalities here:

brainly.com/question/20383699

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6 0
1 year ago
Help pleaseee will mark brainliest
STatiana [176]
Ais the answer I’m pretty sure
4 0
3 years ago
Obama wants to know your location? <br> WHat do you do
Travka [436]

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5 0
3 years ago
. 25 points .please help Pythagoras theorem.​
Salsk061 [2.6K]

Answer:

  • 20 cm

Step-by-step explanation:

The bottom leg is divided into equal segments, one of them is b.

It means the bottom leg is b + b = 2b.

<u>According to Pythagorean:</u>

  • 41² = (2b)² + 9²

<u>Solve for b:</u>

  • 1681 = 4b² + 81
  • 4b² = 1681 - 81
  • 4b² = 1600
  • b² = 400
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4 0
2 years ago
Read 2 more answers
The quotient to the above algebra problem
max2010maxim [7]
6ax is a common factor, so divide top and bottom by 6ax:
(a-3x+7ax)/6ax.
Divide each of the terms in the numerator by the denominator:
1/6x-1/2a+7/6
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3 years ago
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