# Tutor profile: Somil S.

## Questions

### Subject: Basic Math

What is 20 percent off of 30 dollars?

20 percent of 30 dollars is 6 dollars. If an item costs 30 dollars and it's on sale for 20 percent off, how much will you save? To figure this out, you need to find 20 percent of 30. This is easy to do in your head. Think of what 10 percent would be. 10 percent of 30 would be the same as .10 x 30, or 3. So, 10 percent off is 3 dollars off. 20 percent is twice as much as 10 percent. If 10 percent off is 3 dollars, then 20 percent off would be 2 x 3 or 6. 20 percent of 30 dollars would be 6 dollars.

### Subject: Chemistry

If you fill a glass to the brim with ice water and the ice melts, what will happen?

One interesting property of water is that it achieves maximum density as a liquid, not as a solid. So, ice is less dense than water and floats. When it melts, it becomes more dense. More mass per unit volume means the level of the liquid drops slightly.

### Subject: Algebra

Solve the following: 5(-3x - 2) - (x - 3) = -4(4x + 5) + 13

Solution to Problem: Given the equation 5(-3x - 2) - (x - 3) = -4(4x + 5) + 13 Multiply factors. -15x - 10 - x + 3 = -16x - 20 +13 Group like terms. -16x - 7 = -16x - 7 Add 16x + 7 to both sides and write the equation as follows 0 = 0 The above statement is true for all values of x and therefore all real numbers are solutions to the given equation.

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