If you know the rate of a water leak in gallons per hour, how can you find the number of hours it takes for 1 gallon to leak out? justify your answer.
(x + 4) - (x + 2) = x + 3 --> x = -1
the three numbers are:
-1, 1, 3
(y - yo) = m.(x - xo)
where (x, y) and (xo, yo) are points of a line and m his slope
if both lines have m equal they are parallels, if they are the opposite inverse they are perpendicular
so, let's see.
line which pass by (-52, -18) and (-29, 53)
(53 - (-18)) = - (-52))
53 + 18 = + 52)
71 = m.(23)
m = 71/23
line which pass by (90, 33) and (19, 56)
(56 - 33) = m.(19 - 90)
23 = )
m = -23/71
as we see, 71/23 and -23/71 are opposite inverses of one another, so they are perpendicular lines.
7 quarts = 28 cups
10 cups = 2.5 quarts
in order to solve the two different questions in the problem, starting with a ratio of the number of quarts to the number of cups would be :
so, for every 1 quart of milk, she can pour 4 cups. using this ratio, we can set up equivalent ratios, or proportions, to solve for the missing value. for the first question, we need to know that amount of cups in 7 quarts:
we can solve for 'x' by multiplying the numerator and denominator by the same factor, in this case '7'. so, 4 x 7 = 28 cups.
next, we need to solve for the amount of quarts needed for 10 cups:
4 x 2.5 = 10, so we need to multiply the numerator by 2.5: 1 x 2.5 = 2.5 quarts.