Use elimination by substitution to find the solution for the following system.

A. x = -7, y = -2
B. x = 7, y = -1
C. x = 8, y = -2
D. The system is inconsistent.


Answer: B

Mathematics

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Simplify. Write your answer with positive exponents only.

A.  
B.
C.  
D.  

Mathematics

Find the expected value.Mr. Cameron is sponsoring an summer concert. He estimates that he will make $300,000 if it does not rain and make $60,000 if it does rain. The weather bureau predicts the chance of rain is 0.34 for the day of the concert. An insurance company is willing to insure the concert for $150,000 against rain for a premium of $30,000. If he buys this policy, what are his expected earnings from the concert?

A. $180,000 B. $300,000 C. $270,000 D. $239,400

Mathematics

The lengths of two sides of a right triangle are given. Find the length of the third side. (The triangle is not drawn to scale.)

A.
B. 22
C. 2
D. 4

Mathematics

The Humidor blends regular coffee, high mountain coffee, and chocolate to obtain three kinds of coffee: Early Riser, After Dinner, and Deluxe. The Early Riser blend is 80% regular and 20% high mountain coffee. The After Dinner blend is 75% regular, 20% high mountain, and 5% chocolate. The Deluxe is 50% regular, 40% high mountain, and 10% chocolate. They receive an order for 65 pounds of Early Riser, 80 pounds of After Dinner, and 40 pounds Deluxe. Write the matrices A and B for which AB gives the amount of regular, high mountain coffee, and chocolate required to fill the order.

What will be an ideal response?

Mathematics