# Tutor profile: Liz C.

## Questions

### Subject: Pre-Algebra

If Molly can run 85 ft in 55 seconds, how long will it take her to run 120 ft?

This is a simple ratios formula. You can use the equation (x1)/(y1) = (x2)/(y2). The number of feet will serve as our x variable and the number of seconds will serve as our y variable. By plugging in the corresponding numbers you should be given the equation: (85/55) = (120/y) where you solve for y. Then you cross multiply: (120*55) = (85*y2). Multiply: 6,600 = 85y. Isolate the variable: 6,600/85 = y. Divide and then you are given the answer of about 77.6 seconds.

### Subject: US History

When and where was the Declaration of Independence signed?

The Declaration of Independence was signed on July 4, 1776 in Philadelphia, PA.

### Subject: Algebra

What are the solutions to the quadratic equation (12x^2)-19x-10?

There are many ways to figure out the equation. One way is using the quadratic formula which is (-b±√(b^2-4ac))/2a. You simply replace the variables with the constants in the quadratic equation: (-(-19)+√((-19)^2-4(12)(-10)))/2(12) and (-(-19)-√((-19)^2-4(12)(-10)))/2(12). After completing both equations, you are given the solutions of -5/12 and 2. To check this you can simply graph it.

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