Answered

Get the answers you need at Westonci.ca, where our expert community is dedicated to providing you with accurate information. Get quick and reliable solutions to your questions from a community of experienced professionals on our platform. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.

22). Jada walks up to a tank of water that can hold up to 10 gallons. When it is active, a drain
empties water from the tank at a constant rate. When Jada first sees the tank, it contains 7
gallons of water. Three minutes later, the tank contains 5 gallons of water.
Truco
a. At what rate is the amount of water in the tank changing? Use a signed number
and include the unit of measurement in your answer.
Aherons
tre 50 feet
is dying
? a
True or the direnca in his
10) A bered in a tres 50 loet ab
b. How many more minutes will it take for the tank to drain completely? Explain or
show your reasoning.
free 50
ve sea level Direct
be
C. How many minutes before Jada arrived was the water tank completely full?
Explain or show your reasoning.
or show

22 Jada Walks Up To A Tank Of Water That Can Hold Up To 10 Gallons When It Is Active A Drain Empties Water From The Tank At A Constant Rate When Jada First Sees class=

Sagot :

aaronsflyingfox

Answer:

Part A)The amount of water in the tank is changing at -2/3 gallons per minute.

Part B) it will take 7.5 minutes for the tank to drain completely.

Part C) The water tank was completely full 4.5 minutes before Jada arrived.

Step-by-step explanation:

Information fetching:

Tank of water can hold up-to 10 gallons.

When it is active, a drain empties water from the tank at a constant rate.

7 gallons of water present in the tank when Jade first saw

5 gallons of water left after 3 minutes

Part A) At what rate is the amount of water in the tank changing?

As the gallons were decreased from 7 to 5 in three minutes. It means in three minutes, 2 gallons were decreased.

So, gallons per minute change would be -2/3 gallons per minute. Hence, the amount of water in the tank is changing at -2/3 gallons per minute.

Note: negative sign indicates the number of gallons of water are decreasing.

Part B) How many more minutes will it take for the tank to drain completely.

Let 'm' be the number of minutes will it take for the tank to drain completely.

As,

(2/3 gallons per minute) (m minutes) = 5 gallons

So,

   m = 5 (3/2)

     = 15/2

     = 7.5 minutes

So, it will take 7.5 minutes for the tank to drain completely.

Part C) How many minutes before Jada arrived was the water tank completely full

As tank of water can hold up to 10 gallons. So, the tank of water is full when there is 10 gallons of water. So, this is 3 gallons of water more than the total 7 number of gallons at the time when Jada arrived.

As Jada arrived when the tank had left 7 gallons.

Let 'm' be the number of minutes before Jada arrived when the water tank was completely full.

So,

   (2/3) (m) = 3

   m = 3(3/2) = 9/2

       = 4.5 minutes

So, the water tank was completely full 4.5 minutes before Jada arrived.

We hope our answers were helpful. Return anytime for more information and answers to any other questions you may have. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.