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.
When and where was the Declaration of Independence signed?
The Declaration of Independence was signed on July 4, 1776 in Philadelphia, PA.
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.