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Sergeeva-Olga [200]
4 years ago
11

Four different towns in the same state grew in size due to a revitalization effort. The population of town A grew from 22,000 to

24,500 in 4 years. The population of town B grew from 31,200 to 34,770 in 6 years. The population of town C grew from 18,000 to 22,000 in 5 years. The population of town D grew from 32,000 to 34,100 in 3 years. Which town had the greatest average change in population over the corresponding time period?(1 point)
Mathematics
1 answer:
Savatey [412]4 years ago
8 0

Answer:

Town C.

Step-by-step explanation:

Average change of population with time for town A = \frac{24,500 - 22,000}{4} = \frac{2,500}{4} = 625

Average change of population with time for town B = \frac{34,770 - 31,200}{6} = \frac{3,570}{6} = 595

Average change of population with time for town C = \frac{22,000 - 18,000}{5} = \frac{4,000}{5} = 800

Average change of population with time for town D = \frac{34,100 - 32,000}{3} = \frac{2,100}{3} = 700

Town C had the greatest average change in population over time (800/yr).

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Cathy and Iris have 259,459,200 ways to skip countries.

Data;

  • Number of countries they are planning to visit = 9
  • Number of countries they would like to visit = 13

<h3>Combination</h3>

To solve this problem, we would have to use a mathematical procedure known as combination.

Let us calculate the number of countries that would have to skip.

13 - 9 = 4

To decide which country they have to skip, it would be 4 out of 13.

x = ^1^3C_4 = \frac{13!}{4!}

Let's solve this

\frac{13!}{4!} = \frac{13*12*11*10*9*8*7*6*5*4*3*2*1}{4*3*2*1}\\ \frac{13!}{4!} = 13*12*11*10*9*8*7*6*5 = 259459200 ways

Cathy and Iris have 259,459,200 ways to skip countries.

Learn more on combination here;

brainly.com/question/12468032

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Please help- A bakery sells cakes for $18 each and pies for $15 each. Last weekend the bakery sold 118 total items and earned $1
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Answer:

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x = number of cakes sold

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18x + 15y = 1,932.

Get rid of one of the terms, in this case x.

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Subtract the equations from each other

(18x - 18x) + (18y - 15y) = 2124 - 1932

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y = 64

Subsititue y into the orginal qeuation to solve for x and check it's right.

x + 64 = 118

x = 118 - 64 = 54

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