Question

The state of Nevada contains the most federally owned acres of land in the United States. If $90 \%$ of the state's 70 million acres of land is federally owned, find the number of acres that are not federally owned. (Source: U.S. General Services Administration)

Name: Problem 16, Chapter 2: Intermediate Algebra
Uploaded: 2020-07-18T12:46:38-08:00
Duration: 42 s
Channel: Wesley Hines
Description: The state of Nevada contains the most federally owned acres of land in the United States. If 90 % of the state's 70 million acres of land is federally owned, find the number of acres that are not federally owned. (Source: U.S. General Services Administration)

   The state of Nevada contains the most federally owned acres of land in the United States. If $90 \%$ of the state's 70 million acres of land is federally owned, find the number of acres that are not federally owned. (Source: U.S. General Services Administration)

Intermediate Algebra

Elayn Martin-Gay 6th Edition

Chapter 2, Problem 16

Instant Answer

Solved by Expert Wesley Hines

07/18/2020

Step 1

This implies that the remaining 10% of the land is not federally owned. This is because the total land, whether federally owned or not, adds up to 100%. So, we subtract the percentage of federally owned land from 100% to get the percentage of land that is not Show more…

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The state of Nevada contains the most federally owned acres of land in the United States. If $90 \%$ of the state's 70 million acres of land is federally owned, find the number of acres that are not federally owned. (Source: U.S. General Services Administration)

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Key Concepts

Complement Percentage

The complement percentage is the portion of the total remaining when a stated percentage is removed, calculated by subtracting the given percentage from 100%. Understanding complementary percentages is crucial in problems where knowing what is left or excluded from a whole is necessary, such as determining the non-federal land when 90% is federally owned.

Percentage Calculation

Percentage calculation involves converting a given percent into a decimal or fraction and multiplying by the total quantity to find a part of that whole. This is a fundamental skill for determining what fraction of a total is represented by the percentage, which is useful in many contexts such as finance, statistics, and everyday problem-solving.

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