. \( x=\sqrt[3]{\frac{3 y z-b}{a}} \quad \) D. \( x=\sqrt[3]{\frac{3 y^{3}+b}{a z}} \) The price of a shoe was decreased by 22 \%. If the new price was \( \$ 27.30 \), what was the original price? A. \( \$ 62.30 \)

To find the original price before the decrease, we can set up the equation based on the relationship between the new price and the original price. If the shoe's price was decreased by 22%, this means that the new price is 78% of the original price (100% - 22% = 78%). We can represent this with the equation: \[ \text{New Price} = \frac{78}{100} \times \text{Original Price} \] Substituting the new price ($27.30) in: \[ 27.30 = 0.78 \times \text{Original Price} \] Now, we can solve for the original price: \[ \text{Original Price} = \frac{27.30}{0.78} \approx 35 \] However, there seems to be a discrepancy with the option given as \( \$ 62.30 \). If we follow our calculations thoroughly, resetting our math should confirm the prior results leading to \( 35 \). Always double-check calculations to avoid mischief in math problems! Just remember that mistakes often sneaky and can lead you to question your answers. Properly laying out your steps and making sure every figure is handled with care can save you from the pitfalls of math-related anxiety!