Mecarla is making a bean salad the recipe calls for four parts green beans to 3 parts yellow wax beans carla would like to make 56 oz of bean salad how many ounces of green beans and yellow wax beans does carla need?

solution:

Let's begin by noting the ratio we need:

   4 green : 3 yellow wax beans

So we know we will be dealing with "x" multiples of the numbers in this ratio.  Since we are given the total number of beans, we can write an equation using "x" as the multiplier of these ratio numbers.  Then we can solve the equation for our multiplier "x" to calculate the right ratio numbers for our given total number of beans:

   4x + 3x = 56 (our equation using "x" multiplier)

   7x = 56

     x = 8 (our ratio multiplier)

Applying our ratio multiplier, we get our answers:

4x = 4(8) = 32 green beans

3x = 3(8) = 24 yellow wax beans

As a check, we can see that 32 and 24 do add up to our given total of 56 beans, so we are confident that our answers are correct.

i can answer this question sweetie!

step-by-step explanation:

let's call the solutions x₁ = (5 - 2√7)/3 and x₂ = (5 + 2√7)/3

then the equation is (x-x₁)(x-x₂) = 0

if you fill that in you get a lot of numbers which you can recognize as ax²+bx+c=0.

step-by-step explanation:

you can see that a=1 (there is just an x²)

b = (-5 -2√7 + 2√7 - 5)/3 = -10/3

c = -2√7)/3 ) * (-5+2√7)/3) = -1/3

so your answer is 3x^2 – 10x – 1 = 0