교과서 질문
Exercises 27–40 contain linear equations with constants in denominators. Solve each equation. 3x/5 - (x - 3)/2 = (x + 2)/3
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Ch. 1 - Equations and Inequalities
Blitzer8th EditionCollege AlgebraISBN: 9780136970514
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Table of contents
- Ch. P - Fundamental Concepts of Algebra311
- Ch. 1 - Equations and Inequalities398
- Ch. 2 - Functions and Graphs407
- Ch. 3 - Polynomial and Rational Functions306
- Ch. 4 - Exponential and Logarithmic Functions247
- Ch. 5 - Systems of Equations and Inequalities173
- Ch. 6 - Matrices and Determinants143
- Ch. 7 - Conic Sections124
- Ch. 8 - Sequences, Induction, and Probability251
2장, 문제 39
In Exercises 36–43, use the five-step strategy for solving word problems. An apartment complex has offered you a move-in special of 30% off the first month's rent. If you pay \$945 for the first month, what should you expect to pay for the second month when you must pay full price?
검증된 단계별 안내1
Define the variables: Let the full price of the rent be represented by 'x'. The first month's rent is 30% off, meaning you pay 70% of the full price.
Set up the equation for the first month's rent: Since 70% of the full price is \$945, write the equation as 0.7 * x = 945.
Solve for 'x': Divide both sides of the equation by 0.7 to isolate 'x'. This will give you the full price of the rent.
Interpret the result: The value of 'x' represents the full price of the rent, which is the amount you will pay for the second month since there is no discount.
Conclude: Once you have the value of 'x', you know the second month's rent is equal to the full price, as no discount applies.
비슷한 문제에 대한 검증된 영상 답변:
이 영상 해법은 위 문제에 도움이 된다고 튜터들이 추천한 것입니다.
영상 길이:
2m도움이 되었나요?
주요 개념
질문에 올바르게 답하기 위해 반드시 이해해야 하는 핵심 개념들은 다음과 같습니다.
Percentage Calculation
Understanding percentages is crucial for solving problems involving discounts or increases. In this scenario, the apartment complex offers a 30% discount on the first month's rent. To find the original rent before the discount, one must calculate what amount corresponds to 70% of the original price, as 100% minus 30% equals 70%.
추천 영상:
5:37
Introduction to Probability
Algebraic Representation
Using algebraic expressions allows for a clearer representation of relationships between quantities. In this problem, if we let 'x' represent the original rent, we can set up the equation 0.7x = 945 to find the full price of the rent. This approach simplifies the process of solving for unknowns in word problems.
추천 영상:
가이드 코스
05:09Introduction to Algebraic Expressions
Understanding Full Price vs. Discounted Price
Differentiating between full price and discounted price is essential in financial problems. The first month's rent is paid at a discounted rate, while subsequent months require payment at the full price. Recognizing this distinction helps in calculating future payments accurately, as the second month's rent will be the original price determined from the first month's calculations.
추천 영상:
06:04Introduction to Polynomial Functions
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