Sam can mow a lawn in 40 minutes. vanessa can mow the same lawn in 60 minutes. how long does it take for both sam and vanessa to mow the lawn if they are working together? express your answer as a reduced fraction.

The la dodgers hit the most homeruns in 2014. the number of homeruns accounted for 6% of the entire major leauge baseball homerun count. if 583 total homeruns were hit, approximately how many did the la dodgers hit

Asystem of linear equations with more equations than unknowns is sometimes called an overdetermined system. can such a system be consistent? illustrate your answer with a specific system of three equations in two unknowns. choose the correct answer below. a. yes, overdetermined systems can be consistent. for example, the system of equations below is consistent because it has the solution nothing. (type an ordered pair.) x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 6 b. no, overdetermined systems cannot be consistent because there are fewer free variables than equations. for example, the system of equations below has no solution. x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 12 c. yes, overdetermined systems can be consistent. for example, the system of equations below is consistent because it has the solution nothing. (type an ordered pair.) x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 8 d. no, overdetermined systems cannot be consistent because there are no free variables. for example, the system of equations below has no solution. x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 24

Which of the following constants can be added to x2 - 3x to form a perfect square trinomial?