Carletta and johnathan are entrepreneurs making mother boards for computers that are being manufactured by their friend, dewey sasser. carletta can make one mother board in 12 hours while it takes johnathan 16 hours to make one mother board. dewey suggested they could produce mother boards faster if they combined forces and worked together to build each mother board. what will be the time, in hours, that carletta and johnathan can build a mother board when working together? (round your answer to the nearest hour.)

Design a number line containing five (5) points2.benin, one of the smallest countries in africa, has a total area of 43,475 square miles. the population of the country was recently estimated at 10,160,555. about 3,657,790 people live in rural areas. the country has only about 870 miles of surfaced roads. a. round off the total population to the nearest hundred thousand people. b. round off benin’s area in square miles to the nearest thousand. c. round off the number of miles of surfaced roads to the nearest ten. d. round off the number of people who live in rural areas to the nearest million.

Its due ! write an equation in which the quadratic expression 2x^2-2x 12 equals 0. show the expression in factored form and explain what your solutions mean for the equation. show your work.

The table shows the balance of a money market account over time. write a function that represents the balance y (in dollars) after t years.