# Tutor profile: Madeline J.

## Questions

### Subject: Pre-Algebra

What is 17% of 900?

17% can also be written as the fraction 17/100, because all percentages are taken out of 100. If we think of it like an equation, we can say that 17/100 = x/900. To solve this, we would cross multiply, and say 100x = 17*900. This simplifies to 100x = 15300. To get x by itself, we divide both sides by 100, and get x = 153.

### Subject: Music Theory

If you have a IV64 chord in the key of G major, what pitch would the lowest note of the chord be?

In the key of G major, the scale is G A B C D E F# G. The Roman numeral IV means the triad (3 notes) that starts on the 4th note of the scale, in this case, C. If the first note of the triad is C, then the notes in the triad are C E and G. Triads are created by starting with any note in the scale, and adding the 2nd and 4th notes after it. The 64 in IV64 refers to the second inversion. If the first note of the triad (C) is the lowest note, then the triad is in root position. If the second note of the triad (E) is the lowest note, then the triad is in the first inversion, and the triad is written as IV6. If the third note of the triad (G) is the lowest note, then the triad is in the second inversion, and the triad is written as IV64. Therefore, the lowest note of IV64 in this case is G.

### Subject: Algebra

Solve the following equation for the variable "x": 20 - 7x = 6x - 6

When solving an equation with a variable on both sides of the equal sign, you must remember that whatever function you do to one side of the equation, you must do to the other side. First, we need the constants to be on the same side (20 and - 6. The 6 keeps the - sign that is in front of it). To remove the - 6, we will add + 6 to each side, giving us: 26 - 7x = 6x. Then we need to get the variables on the same side (- 7x and 6x). Since our constants are on the left side, we want our variables on the right side. To get rid of the -7x on the left side, we will add +7x to each side, giving us 26 = 13x. The last step to get x alone is to divide by 13, to cancel out the 13 in front of the x. After we divide both sides by 13, we get 2 = x, giving us our answer.