Ismet collects dimes and quarters in a jar. He knows that a certain combination of dimes and quarters is worth $ 2.40 . Let d be the number of dimes. Let q be the number of quarters. If q is a function of d , what is the domain of the combination? { 4 , 9 , 14 , 19 , 24 } { 4 , 9 , 14 , 19 , 24 } { 0 , 2 , 4 , 6 , 8 } { 0 , 2 , 4 , 6 , 8 } all integers from 1 to 24 , inclusive all integers from 1 to 24, inclusive all real numbers

Which ordered pair is a solution to the system of linear equations? 2x + 3y= 6 –3x + 5y = 10

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

What is the least common multiple for 6 and 8? what is the least common multiple for 4 and 12 ? what is the least common multiple for 11 and 12? what is the least common multiple for 3 and 6?