MATHEMATICS COLLEGE

About 70,000 people live in a 6-mile radius of a city's town hall. Find the population density in people per square mile. Round your answer to the nearest whole number.The population density is about _
people per square mile.

Answers

Answer 1
Answer:

Answer:

The population density is 618.93 per square mile.

Step-by-step explanation:

It is given that,

No. of people, N = 70,000

The radius of a city's town hall, r = 6 miles

We need to find the population density. It can be calculated by the formula i.e. number of people divided by area of land such that,

P=(N)/(A)\n\nP=(N)/(\pi r^2)\n\nP=(70000)/(\pi (6)^2)\n\nP=618.93\ \text{per square mile}

So, the population density is 618.93 per square mile.

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Chan receives a bonus from his job. He pays 30% taxes, pays 30% charity and 25% debt. Has $600 remaining from his bonus. What was the total amount of chains bonus?

Answers

Answer:

b = $4000

Step-by-step explanation:

Let b represent the bonus amount.

Then the bonus, b, less the three deductions, is represented by

b - 0.30b - 0.30b - 025b, and this comes to $600.  Find the value of b.

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Which congruence best expresses the relationship showing that the triangles below arecongruent?
76°
76°
F SSS
GSSA
H SAS
3
ASA

Answers

The relationship of congruency that describes that the given triangles are congruent is SAS.

What is congruency?

We know two similar planer figures are congruent when we have sides or angles or both that are the same as the corresponding sides or angles or both.

Given, are two triangles with an included angle of 76° and the corresponding sides are congruent to each other.

∴ The relationship that shows that the triangles below are congruent are

side angle side or SAS.

learn more about congruency here :

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AIDS said she had to go take care the dogs she

Determine the amount of aninvestment if $400 is invested at
an annual interest rate of 7.25%
for 7 years. Round to the nearest
penny.
$[ ? ]

Answers

Answer:

$652.89

Step-by-step explanation:

i believe this is the answer hope i helped :D

Caleb bought groceries and paid \$1.60$1.60dollar sign, 1, point, 60 in sales tax. The sales tax rate is 2.5\%2.5%2, point, 5, percent.What was the price of Caleb's groceries, before tax?

Answers

The price before tax would be 1.60/0.025 which equals $64.

Please help me solve this!

Answers

Answer:

Step-by-step explanation:

a) AB=2AM

A__________M__________B

If M is the midpoint of AB, then AM = MB

Since AM=MB MB=2AM

Therefore AB=2AM

b)AM=1/2MB

sincs M is midpoint of AB.

then AM=BM....(1)

and also AM+BM=AB

AM+AM=AB from (1)..AM=BM

2AM=AB

AM=1/2AB

10 less than three times a number is 23. Find the number

Answers

The value of the unknown number is 11

Inequality is a concept in mathematics that shows the comparison between two non-equal numbers.

From the given information

  • Let the unknown number be x

∴

3x - 10 = 23

Collect like terms

3x  = 23 + 10

3x = 33

Divide both sides by 3

\mathbf{(3x)/(3)= (33)/(3)}

x = 11

Learn more about inequality here:

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Answer:

x = 11

Step-by-step explanation:

23 = 3x-10

1. Add 10 to both sides of the equation. -10 plus 10 is equal to zero so it cancels out to nothing, and 23 plus 10 is 33.

2. The new equation is now 33 = 3x.

3. Now you want to divide both sides by 3 to make x by itself since that is what you are trying to solve for.

4. 33/3 is equal to 11 so x = 11.
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