# Tutor profile: Alessandra D.

## Questions

### Subject: International Studies

What is the difference between a unipolar international system, a bipolar international system, and multipolar international system?

In a unipolar international system, there is only one hegemonic power. A hegemonic power is defined as the leading international power. Currently, many scholars argue that the United States is currently the hegemonic power. In a bipolar international system, there are two hegemonic powers. The most notable example of this type of international order is during the Cold War were the United States and Soviet Union. A multipolar international system is where there are more than two leading world powers. This system was alive before World War II when the United States, Great Britain, France, and Soviet Union all had a great influence on World Affairs.

### Subject: US History

Why was the adoption of the U.S. Constitution necessary, even after the framers designed the Articles of Confederation?

The U.S. Constitution established America’s national government and fundamental laws, and guaranteed certain basic rights for its citizens. It was signed on September 17, 1787, by delegates to the Constitutional Convention in Philadelphia, presided over by George Washington. Under America’s first governing document, the Articles of Confederation, the national government was weak and states operated like independent countries. At the 1787 convention, delegates devised a plan for a stronger federal government with three branches–executive, legislative and judicial–along with a system of checks and balances to ensure no single branch would have too much power. The Bill of Rights–10 amendments guaranteeing basic individual protections such as freedom of speech and religion–became part of the Constitution in 1791. To date, there have been a total of 27 constitutional amendments.

### Subject: Algebra

Johnny's Supermarket has reduced prices by 19% on everything to thank their customers for their patronage. If a case of soda cost $2.99 before the price reduction, how much does it cost now? (Round your answer to the nearest penny.)

If $2.99 is the full price, then $2.99 is 100% of the price. If we want the price at the discount, we would want to subtract 19% from the total price. 100% - 19% = 81% Now we know we are looking for 81% of the price. We can set up the equation as the following where X is the discounted price: (X/$2.99) = (81%/100%) We can reduce that to (x/$2.99) = (81/100) because we can cancel out the units that are the same on the right. Then we cross multiply so now we have 100X = ($2.99)(81) That equates to 100X=$242.19 **Note: Keep the $ because there was not another one to cancel it out and it is needed for the answer. Also, make sure you do not round until the end to ensure you have the right numbers. Then, we divide the right side by 100 to isolate X since we are trying to find the value of X. When dividing $242.19 by 100, we get X = $2.4219. However, we are not done there! Since the question asks us to round our answer to the nearest penny, we have to round the number to just two decimal places (or to the hundredths.) $2.4219 to the nearest penny would be $2.42. Therefore, our answer is $2.42. To check your answer, you can sub $2.42 in for X in any on the equations and the right and left side should equal each other. **Note: if your number is not exactly the same it is because we rounded, which changed the number. To get the exact same number on both sides check with the unrounded number! Congrats! You did it!

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