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.

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.

answer:

7 quarts = 28 cups

10 cups = 2.5 quarts

step-by-step explanation:

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.