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Evgesh-ka [11]
3 years ago
14

The population of a certain country is approximated by the following equation, where x is the number of years since 1980 and P i

s the population in millions P=2.748x + 126.199 Determine the year in which the country had or will have the population of 206,123,000 Show your work
Mathematics
1 answer:
marissa [1.9K]3 years ago
6 0

Answer:

In 2010 the population become 206,123,000.

Step-by-step explanation:

Consider the provided equation.

P=2.748x + 126.199

Where P represents the population in millions.

We need to determine the year in which the country had population of 206,123,000.

As P is in millions so divide 206,123,000 by one million.

\frac{206,123,000 }{1,000,000}= 206.123

Substitute P = 206.123 in above equation.

206.123=2.748x + 126.199

79.924=2.748x

x=\frac{79.924}{2.748}

x=29.08

30 year from 1980 the population become 206,123,000.

In 2010 the population become 206,123,000.

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Answer: a.) 72 of each type of animal, for a total of 216

b.) 16 grown cats, 4 kittens

Step-by-step explanation:

part a. It's a distribution (division) problem. The same number of each animal is distributed over some unknown number of troughs, but the total number of troughs adds up to 69. ( I hate to give this all away, as its a brilliant problem! )

Number of troughs for each animal type is How many needed by the number of animals per trough:

h/2 + c/3 + p/8 = 69  

Since we are given "the same number of horses, cows and pigs" we can substitute "x" for all.

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part b.  5c + 3k = 92,   c + k = 20  Rearrange to get a value for c to substitute.

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100 - 5k + 3k = 92 becomes -2k = -8  so  k = 4 Substitute into the original

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