# Tutor profile: Nikole C.

## Questions

### Subject: Writing

I honestly don't have a great question for this subject. But I took both AP Language and AP Literature in high school. If you have an essay topic, I can help you write a persuasive and or analytical argument. Or even if it's a college application essay.

I can proof-read and give you suggestions to better your writing approach, improve your diction and/or syntax. I can't guarantee to find every comma splice, but I've written enough remarkable college papers that I can help you improve your writing.

### Subject: Basic Math

Penny has 101 marbles. She gave 12 to her brother Fred and 24 to her best friend Gracey. How many marbles does she have left?

This is a basic math question dealing with addition and subtraction. First, we have to find out the total number of marbles she gave away. She gave some to Fred and Gracey, so we have to add those numbers together, "12 + 24". First, stack the numbers vertically, 12 +24 ------- Then add the numbers from right to left. "2 +4" = 6, 12 +24 ------- 6 And "1 + 2" = 3. 12 +24 ------- 36 So now we have the total of marbles Penny gave away which is 36. Her grand total was a 101, if she gave some away it means we have to subtract. Once again, set up the equation vertically, 101 -36 ----- And proceed from right to left, but subtracting this time, so "1-6," well since 1 is too small we have to borrow from the "10" to the left which makes it a 9, and the 1, now becomes an "11," so again, "11-6" = 5, 101 9 11 -36 -3 6 ----- -------- 5 And then "9-3" = 6, 101 9 11 -36 -3 6 ----- -------- 6 5 So the answer we get is 65. Penny is left with 65 marbles after giving 12 to her brother Fred and 24 to her best friend Gracey. To check your work, simply add 65 + 36. 65 +36 ------- From right to left, "5+6" = 11, and we carry the 1 over to the left, 1 65 +36 ------- 1 Then we have, "1 + 6 + 3" = 10, 1 65 +36 ------- 101 So the grand total is 101, which is how many marbles Penny had in the first place.

### Subject: Algebra

The sum of two numbers is 18. Twice the smaller number decreased by 3 equals the larger number. What are the two numbers?

Let the smaller number be represented as “x” and both add up to equal 18, therefore if we subtract “x” from 18 we get the larger number, represented as “18-x”. The problem also states that 2 times the smaller number decreased by 3 also equals the larger number, represent this as “2x-3”. Then set both of those equations equal to each other, “2x-3 = 18-x”. The order of operations tells us we must combine like items, so group all of our x’s together and our other integers (numbers). In order to do that we must perform the opposite operation as to what is shown, and get all the letters to one side and all the numbers (by themselves) to the other. So first, on the right side of the equation we have “-x”, we add this to the other side and get “2x + x,” which equals “3x”. The resulting equation is now 3x – 3 = 18. Now, we take the “-3” and add it to the other side and get “18 +3” which equals 21. (Please note that the operation is actually formed on both sides, and we are simply cancelling it out of one side by performing the opposite). The resulting equation is now 3x = 21. The oppositie of multiply, is divide. Now, we divide both sides by 3, and get x = 7. X=7 is the smaller number. To get the larger number, simply plug back in to our first equation which is “18-x”, and you will find the large number to be “18-7 = 11”. To check your work, you can use the second equation, and plug in 7 for “x”, “2(7) – 3” which is “14-3”, which equals 11. Now, you can be sure you have the correct answers since the numbers match.

## Contact tutor

needs and Nikole will reply soon.