It is impossible to list the set of rational numbers using the roster method because the set of rational numbers is uncountable/inumerable.

There is no way to list all the members of the set of rational numbers.

5 0

3 years ago

Solve for k:<br>1/3k + 1/2 = 1/4k

son4ous [18]

$\frac{1}{3}k+\frac{1}{2}=\frac{1}{4}k\ \ \ \ \ \ |\cdot12(to\ eliminate\ fractions)\\\\\frac{12}{3}k+\frac{12}{2}=\frac{12}{4}k\\\\4k+6=3k\\\\4k-3k=-6\\\\k=-6$

3 0

4 years ago

Ten times the sum of half of a number and 6 is 8

Ahat [919]

$10\cdot\left(\dfrac{1}{2}x+6\right)=8\ \ \ \ |use\ distributive\ property\ a(b+c)=ab+ac\\\\5x+60=8\ \ \ \ |subtract\ 60\ from\ both\ sides\\\\5x=-52\ \ \ \ |divide\ both\ sides\ by\ 5\\\\\boxed{x=-10.4}$

3 0

3 years ago