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Jenna C.

Mechanical Engineer

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Geometry

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Question:

A cylinder made out of sheet metal is 4 feet long and 2 feet in diameter. What is the total surface area of sheet metal (including the circular ends of the cylinder).

Jenna C.

Answer:

1. First, break up the cylinder into like-geometries. In this case, the circular ends and the main cylinder: 2 x circle surface area + 1 x cylinder surface area = total surface area 2. Then, translate into the mathematical definition of the area of a circle, and surface area of a cylinder: 2 x (pi x r x r) + (2 x pi x r x h) = total surface area 3. Input the values given into the equation: pi = 3.14 r = 1 foot h = 4 feet 2 x (3.14 x 1 x 1) + (2 x 3.14 x 1 x 4) = total surface area 4. Using order of operations, solve: 2 x 3.14 + 25.12 = total surface area 6.28 + 25.12 = total surface area 31.4 = total surface area

Basic Math

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Question:

If you have 150 followers on Twitter, and a new post of your cat increases your number of followers by 20%, how many followers do you have now?

Jenna C.

Answer:

1. To determine how many more followers you have, think of the problem as if you're adding new followers to the number of followers you already have: 150 + 20% = new number of followers 2. To be able to add these numbers, we need to change the percentage into a whole number: 20% can be written as 20/100, and when multiplied by the original 150, we get 20% of 150: 150 + 150 x 20/100 = new number of followers 2a. Sometimes, when multiplying large numbers, I find it easier to reduce the fraction to a smaller number by dividing by the greatest common factor first: 20/100 has a greatest common factor of 20, so when the numerator and denominator are both divided by 20, we get 1/5. 3. Now, we can return to multiplying. First change both numbers into fraction form, then multiply the numerator by the numerator and the denominator by the denominator: 150 + 150/1 x 1/5 = new number of followers 150 + 150/5 = new number of followers 2c. Then, reduce the fraction by dividing the numerator by the denominator: 150 + 30 = new number of followers 3. Finally, we can add the original 150 followers to the 30 followers you gained to get your total new number of followers: 150 + 30 = 180 followers Tip: Remember your order of operations!

Algebra

TutorMe

Question:

10x + 8 = 4 - 6x Find x.

Jenna C.

Answer:

1. To find x, first bring like-terms to each side (note that every time you move a term to the other side of the equal sign, the sign changes): 10x + 6x = 4 - 8 2. Add or subtract like-terms: 16x = -4 3. Divide to isolate x: x = -4/16 4. Simplify the fraction by dividing by the greatest common factor: x = -1/4

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