Answer: it is 10 over 100
Step-by-step explanation:
We can set Maggie's age to x
If her brother is six years younger than four times her age, than her brother must be equal to: 4x-6
Since the sum of their ages is 39, we can set up an equation.
(Sum of Maggie's age) + (sum of Maggie's brother's age) = 39
x + (4x -6) = 39
5x -6 = 39
5x = 45
x = 9 , Maggie's age is 9
Y =1/3x - 1 so slope = 1/3
if <span>perpendicular, slope = -3
passing thru (4,-2) then
y = mx +b
-2=-3(-2) + b
-2=6+b
-2-6 = b
so b = -8
equation:
y = -3x - 8</span>
If popcorn is p and water is w the equation can be written as
3p + w = 9.25
because there was 3 boxes of popcorn and one water (hence the coefficients) and the total is 9.25
then plug in 1.75 for w the price of water:
3p+ 1.75 = 9.25
you can move stuff around algebraically now (subtract 1.75 on both sides and divide by three on both aides) to get the cost of one box of popcorn (p).
The answer is 2.50