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Cat S.

University Student

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Pre-Algebra

TutorMe

Question:

At a restaurant there are 15 customers who order a burger. This represents 30% of the customers in the restaurant. How many customers are in the restaurant?

Cat S.

Answer:

There are 50 students. When given the total number of a group, and a specific percentage that represents a portion of the group, we can turn the percentage into a decimal then multiply the decimal by the total to find a number that represents the number of individuals in that portion. In this problem, where we are given the number of individuals and the percentage, we can do the opposite and divide the number given by the percentage (in decimal form). This looks like 15/.3, which gives us 50. We can double check by dividing 15 by 50, and see that it is 30% as it should be.

Basic Math

TutorMe

Question:

Round 5.189 to the nearest hundredth

Cat S.

Answer:

The first number to the right of the decimal represents the "tenth place." The second number to the right of the decimal point represents the "hundredth place." Since we are looking for the nearest hundredth, we only want two decimal places. to determine what the second decimal should be, we look at the third decimal. If it is five or above, we "give it a shove," meaning the second decimal will increase by one. In this case the third decimal is 9, which is above 5, so we increase the 8 to a 9. This means our answer is 5.19

Algebra

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Question:

Solve x^2+5x+2 using the quadratic formula

Cat S.

Answer:

Using the quadratic formula to solve this problem, where a=1, b=5, and c=2, produces the following: (-5±√(5^2-4(1)(2)))/((2)(1)). This simplifies to (-5±√(25-8))/2, which further simplifies to (-5±√17)/2. This is approximately -.438447, or -4.56155

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