Well...this is a proportion problwm. for every 16 cups I have 1 gallon, so I can write that as:
16 cups
-----------
1 gallon
this value will be proportional to 1/4 a gallon equal "so many" cups. let's equal the unknown about of cups to x.
16 cups______ x cups
-----------.... = ..... ----------
1 gallon _____ 1/4 gallons
I can cross multiply to find x.
1 gallon • x cups = 16 cups • 1/4 gallons
16 times 1/4 is the same as 16/4, which equals 4.
1 gallon • x cups = 4 cups gallons
divide both sides by gallons
x cups = 4 cups
so! 1/4 of a gallon equals 4 cups.
4 unit rate is 124. 5 unit rate is 16 6 unit rate is 60
Answer:
21.6 degrees
Step-by-step explanation:
the sum of angles in a triangle is 180 degrees
71 + x + (4x-11) = 180
open the brackets
71 + x +4x - 1 = 180
71 + 1 + x + 4x =180
72 + 5x =180
5x = 180 -72
5x = 108
x = 108/5 = 21.6
12/x = 52/48
12 * 48 = 52x
x = 11.07 This is one way to do it.
Let the time = x
Let the part of the lawn = y
The general equation
y = k*x
52/100 = k * 12
k = 0.043333
y = 0.043333*x
y = 0.043333* 11.08
y = 0.48 which is what it should be.
Yet another way is to let y = kx
52 = k*12
k = 52/12
k = 4.33333333
y = 4.333333 * x
y = 4.333333 * 48
48 = 4.333333 * x
x = 11.07 which is just what you should expect.