At Westonci.ca, we connect you with experts who provide detailed answers to your most pressing questions. Start exploring now! Join our Q&A platform to connect with experts dedicated to providing precise answers to your questions in different areas. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.

Water flows from a faucet into a bathtub at a constant rate of 7 gallons of water pouring in every 2 minutes. The bathtub is initially empty and the plug is in. If the tub can hold 50 gallons of water, how long will it take to fill the tub? A. 14.26 minutesB. 14 minutesC. 7.14 minutesD. None of the aboveI would appreciate the help

Sagot :

Answer:

D. None of the above (14.28 minutes)

Explanation:

If the rate is 7 gallons every 2 minutes, we can calculate the number of gallons in the tub after X minutes using the following equation:

[tex]G=\frac{7}{2}X[/tex]

Then, if the tub can hold 50 gallons, we can replace G by 50 as follows:

[tex]50=\frac{7}{2}X[/tex]

So, the number of minutes that the tub will take to fill can be found if we solve the equation for X. Then:

[tex]\begin{gathered} 50\cdot2=\frac{7}{2}X\cdot2 \\ 100=7X \\ \frac{100}{7}=\frac{7X}{7} \\ 14.28=X \end{gathered}[/tex]

Therefore, the correct answer is 14.28 minutes.

We appreciate your visit. Hopefully, the answers you found were beneficial. Don't hesitate to come back for more information. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Keep exploring Westonci.ca for more insightful answers to your questions. We're here to help.