Square Perimeter = 4(4x-1)
Rectangle Perimeter = 2(2x+1) + 2(x+2)
Square Perimeter = Rectangle Perimeter
4(4x-1) = 2(2x+1) + 2(x+2)
16x - 4 = 4x + 2 + 2x + 4
16x - 4 = 6x + 6
-6x +4 -6x +4
10x = 10
x = 1
Step-by-step explanation:
so the ratio of the recipe is 32/48 of pineapple juice and orange juice.
that can be simplified to the ratio of 2/3.
now, she has only 20 floz of pineapple juice.
20/x = 2/3
60/x = 2
60 = 2x
x = 60/2 = 30
she needs 30 floz of orange juice with the 20 floz of pineapple juice to maintain the prescribed ratio for fruit punch.
1.Identify the fractions. Using the distributive property, you’ll eventually turn them into integers.
2.For all fractions, find the lowest common multiple (LCM) -- the smallest number that both denominators can fit neatly into. This will allow you to add fractions.
3.Multiply every term in the equation by the LCM.
4.Isolate variables adding or subtracting like terms on both sides of the equals sign.
5.Combine like terms.
6.Solve the equation and simplify, if needed.