Answer:
"The sum of two rational numbers is rational."
By definition, a rational number can be expressed as a fraction with integer values in the numerator and denominator (denominator not zero). So, adding two rationals is the same as adding two such fractions, which will result in another fraction of this same form since integers are closed under addition and multiplication. Thus, adding two rational numbers produces another rational number.
Let the length of one of the shorter pieces be
. Then, we know that two of the pieces are that length, and the third piece is
. Since these are all pieces of a rope, all we need to do to figure out the lengths is add all those together, solve for
, and then plug that back in to the desired lengths:
Shorter pieces:
Longer piece:
You would have none left. If you started with one cup of cornmeal and then you used that one cup of cornmeal to make the muffins, you would have none left
Do u mean d?
1.5d +3.25 = 1 +2.25d
3.25 = 1 + .75d -1.5d on both sides
2.25 = .75d subtraction 1 on both sides
3 = d divide both sides by .75
