Seven Hundred Gallons of 91-Octane Gasoline Is Obtained by Mixing $$\left\{ \begin{array} { c } x + y = 85 \\87 x + 94 y = 63,700\end{array} \right.$$

question 42

Multiple Choice

Seven hundred gallons of 91-octane gasoline is obtained by mixing 87-octane gasoline with 94-octane gasoline.Write a system of equations in which one equation represents the amount of final mixture required and the other represents the amounts of 87- and 94-octane gasolines in the final mixture.Let x and y represent the numbers of gallons of 87-octane and 94-octane gasolines,respectively. ​

• A)​ \[\left\{ \begin{array} { c }
• x + y = 85 \\
• 87 x + 94 y = 63,700
• \end{array} \right.\]
• B)​ \[\left\{ \begin{array} { c }
• 87 x + 94 y = 700 \\
• x + y = 85
• \end{array} \right.\]
• C)​ \[\left\{ \begin{array} { l }
• x + y = 63,700 \\
• 87 x + 94 y = 85
• \end{array} \right.\]
• D)​ \[\left\{ \begin{array} { c }
• 87 x + 94 y = 700 \\
• x + y = 63,700
• \end{array} \right.\]
• E)​ \[\left\{ \begin{array} { c }
• x + y = 700 \\
• 87 x + 94 y = 63,700
• \end{array} \right.\]

Recognize the distinction between knowledge and belief in the context of religion.

Explore the relationship between morality and belief in God according to various philosophers.

Understand the concept of religious incarnation and divine immanence.

Evaluate the criticisms of religious arguments and concepts.

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Definitions:

Alternative Dispute Resolution

A method for settling disputes outside of the courtroom, such as through arbitration or mediation.

Mediation

A method of settling disputes outside of court by using the services of a neutral third party, called a mediator. The mediator acts as a communicating agent between the parties and suggests ways in which the parties can resolve their dispute.

International Business Transactions

Economic activities that involve the exchange of goods, services, or information across national borders.

Arbitration Clauses

Provisions in a contract that require disputes to be resolved through arbitration, instead of through court litigation.