Task: Use the following situation to answer Parts A and B Instructions At noon, a tank contains 100 gallons of water. The table shows the input and output of water from pipes A, B, and C. The pipes begin operating simultaneously at noon. A B C Pipe Flow IN (gallons per minute) a (2) = 172 6(2) = 80 Flow OUT (gallons per minute) c (2)=30r Complete each of the 2 activities for this Task. Activity 1 of 2 Let T (2) represent the amount of water in the tank x minutes after all of the pipes A, B, and C are opened. Which of the following functions represents T (x)? O A T (2) = 100 + a(z) +b(2) - c(x) OCT (x) = 100 + a (x) +b(2) + c(2) OBT () = a (x) + b() +(2) ODT (2) = a (x) +b(x) - c(:) Activity 2 of 2 Using the equation, after how many minutes will the tank be empty?​

Answers

Answer 1

Answer:

1. Option C2. Never

Step-by-step explanation:

Refer to attached for the table and clearer version of the question

As per table A and B pipes feed the tank and C is the outlet

Considering initial volume of 100 gallons, the amount of water in the tank after x minutes is:

T(x) = 100 + a(x) + b(x) - c(x), this is option C.

We can calculate when tank is going to be empty:

0 = 100 + 25x + 10x - 30x0 = 5x + 1005x = -100x = -20

Since we got negative number, the tank is not going to be empty when all 3 pipes are open.

Task: Use The Following Situation To Answer Parts A And B Instructions At Noon, A Tank Contains 100 Gallons
Answer 2

The function which represent T (x) for the tank which contains 100 gallons of water and input and output of water from pipes A, B, and C is,

[tex]T(x)=100+a(x)+b(x)-c(x)[/tex]

The tank will not be empty when all the three pipes are in operation.

What is a function?

If we have two sets A and B as:

[tex]A = \{a_1, a_2, ... \}\\B = \{b_1, b_2, ... \}[/tex]

Then, function

[tex]f:A \rightarrow B[/tex]

is a connection of elements of A to B such that one element of A is connected to only single element of B, and not many.

The connected pairs are then written as:

[tex]\{(a_i_1,b_j_1), (a_i_2, b_j_2), ... \}[/tex]

Under the function f.

The table shows the input and output of water from pipes A, B, and C.

Pipe                                        A                         B                        C

Flow In (gallons/minute)      a(x)=25x             b(x)=10x

Flow Out (gallons/minute)                                                       c(x)=30x

The pipes begin operating simultaneously at noon.  Let T (2) represent the amount of water in the tank x minutes after all of the pipes A, B, and C are opened.

At noon, a tank contains 100 gallons of water. In the above table A and B shows the inlet of water while C shows the out let of the water.

So, 100, A and B added in the function while C will be subtracted as,

[tex]T(x)=100+a(x)+b(x)-c(x)[/tex]

Thus, the function in option C represents T (x).

Now use this equation, to find the number of minutes for the tank be empty. For this equation, the equation equal to zero as,

[tex]T(x)=100+25x+10x-30x[/tex]

[tex]0=100+25x+10x-30x\\-100=5x\\x=-20[/tex]

This negative value of x tells that if all the three pipes are open, the tank is never become empty completely.

Thus, the function which represent T (x) for the tank which contains 100 gallons of water and input and output of water from pipes A, B, and C is,

[tex]T(x)=100+a(x)+b(x)-c(x)[/tex]

The tank will not be empty when all the three pipes are in operation.

Learn more about the function here;

https://brainly.com/question/13395697


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Answer:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answers

Answer:

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Answers

Answer:

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Step-by-step explanation:

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Answers

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Answers

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

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What is slope?

In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line. The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).

Given

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as

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and

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To learn more on slope click:

brainly.com/question/3605446

#SPJ2

complet question:

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Answers

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Step-by-step explanation:

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is your answer

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Answers

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Step-by-step explanation:

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Answers

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Answers

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

Answer:

Step-by-step explanation:

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Answers

Answer:

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Answers

Answer: First, you start with the equation:

9

x

+

4

=

472

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So you would subtract

4

from both sides and get:

9

x

=

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and get

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Step-by-step explanation: First, you start with the equation:

9

x

+

4

=

472

Since four students rode in cars, you want to eliminate this part of the problem to find how many students actually rode in the buses

So you would subtract

4

from both sides and get:

9

x

=

468

Finally, you would divide both sides by

9

and get

52

students on each bus

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Answers

Factors:

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Both have the GCF of 11. By removing 11 from both numbers you end up with:

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Now replace the values on the right of the equals sign into the original equation:

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11(5)

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