Answer: 10/3 or 3 1/3 cups of flour
The ratio is (8/3 cups of flour : 1 batch or recipe)
In order to make 1 1/4 recipes you have to multiply the 1 by 1 1/4. But then in order to keep the ratio equivalent, you also have to multiply the other side by the same number.
Answer:
or ![x = -\dfrac{11}{3}](https://tex.z-dn.net/?f=%20x%20%3D%20-%5Cdfrac%7B11%7D%7B3%7D%20)
Step-by-step explanation:
I assume the denominators are x + 5 and x + 4 although that is not what you wrote.
![\dfrac{4x}{x+5} = \dfrac{x}{x+4}](https://tex.z-dn.net/?f=%20%5Cdfrac%7B4x%7D%7Bx%2B5%7D%20%3D%20%5Cdfrac%7Bx%7D%7Bx%2B4%7D%20)
![(x + 4)(x + 5)\times \dfrac{4x}{x+5} = (x + 4)(x + 5) \times \dfrac{x}{x+4}](https://tex.z-dn.net/?f=%20%28x%20%2B%204%29%28x%20%2B%205%29%5Ctimes%20%5Cdfrac%7B4x%7D%7Bx%2B5%7D%20%3D%20%28x%20%2B%204%29%28x%20%2B%205%29%20%5Ctimes%20%5Cdfrac%7Bx%7D%7Bx%2B4%7D%20)
![(x + 4)(4x) = (x + 5)(x)](https://tex.z-dn.net/?f=%20%28x%20%2B%204%29%284x%29%20%3D%20%28x%20%2B%205%29%28x%29%20)
![4x^2 + 16x = x^2 + 5x](https://tex.z-dn.net/?f=%204x%5E2%20%2B%2016x%20%3D%20x%5E2%20%2B%205x%20)
![3x^2 + 11x = 0](https://tex.z-dn.net/?f=%203x%5E2%20%2B%2011x%20%3D%200%20)
![x(3x + 11) = 0](https://tex.z-dn.net/?f=%20x%283x%20%2B%2011%29%20%3D%200%20)
or ![3x + 11 = 0](https://tex.z-dn.net/?f=%203x%20%2B%2011%20%3D%200%20)
or ![3x = -11](https://tex.z-dn.net/?f=%203x%20%3D%20-11%20)
or ![x = -\dfrac{11}{3}](https://tex.z-dn.net/?f=%20x%20%3D%20-%5Cdfrac%7B11%7D%7B3%7D%20)
Answer: -6
Step-by-step explanation:
Answer:
We set up our equations:
35x+40y = 1850 eq1
x+y = 50 eq2
Substituting eq 2 into eq 1,
35x+40(50-x) = 1850
35x+2000-40x = 1850
-5x+2000 = 1850
-5x = -150
x = 30
Substitute value of x into eq 2.
x+y = 50
30+y = 50
y = 20
Car 1 consumes 30 gallons of gas.
Car 2 consumes 20 gallons of gas.
hope this helps
C because u if u use the property's and u can move the parentheses and it's the same answer