Explore BrainMass
Share

Explore BrainMass

    Mathematics- Radical Expressions,Equations,Quadratic Formula

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    Objectives

    Radical Expressions, Radical Equations, and the Quadratic Formula
    ? Simplify radical expressions.
    ? Perform operations with radical expressions.
    ? Solve radical equations.
    ? Solve a quadratic equation using the quadratic formula.
    ? Determine the number of solutions for a quadratic equation by using the discriminant.
    ? Solve word problems using quadratic equations.

    © BrainMass Inc. brainmass.com October 9, 2019, 11:14 pm ad1c9bdddf
    https://brainmass.com/math/basic-algebra/radical-expressions-equations-quadratic-formula-249599

    Attachments

    Solution Preview

    Commuting students. At a well-known university, 1/4of the undergraduate students commute, and 1/3 of the graduate students commute. One-tenth of the undergraduate students drive more than 40 miles daily, and 1/6 of the graduate students drive more than 40 miles daily. If there are twice as many undergraduate students as there are graduate students, then what fraction of the commuters drive more than 40 miles daily?

    Let the number of graduate students be 150. Then the number of undergraduate students is 300. Fraction of the graduate students who commute = (1/3)(150) = 50 and fraction of the undergraduate students who commute = (1/4)(300) = 75
     Total commuters = 50 + 75 = 125
    Graduate students who drive more than 40 miles daily = (1/6)(50) = 25/3 and undergraduate students who drive more than 40 miles daily = ...

    Solution Summary

    Radical expressions, equations and quadratic formulas are determined. A complete, neat and step-by-step solution is provided in the attached file.

    $2.19