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Ksivusya [100]
3 years ago
6

Plss show explanation! what is 1/4 + 1/3 + 11/12

Mathematics
2 answers:
astra-53 [7]3 years ago
6 0

Answer:18/12 or 1 1/2

Step-by-step explanation:

First you have to make all of the denominators the same by finding a common denominator which is 12. Then you multiply the whatever number you need to get to twelve by the top and bottom. Once all of the denominators are the same then you add.

1/4=3/12(multiply top and bottom by three), 1/3=4/12(multiply by 4), 11/12 stays the same.

maks197457 [2]3 years ago
3 0

6 1/2

First you find a common denominator. 1/4 = 3/12 and 1/3 = 4/12.

3/12 + 4/12 + 11/12 = 18/12.

18/12 = 6 6/12 = 6 1/2

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worty [1.4K]

Answer:

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

<em>Part B) </em><em>it will take </em><em>7.5 minutes</em><em> for the tank to drain completely.</em>

<em>Part C) </em><em>The water tank was completely full </em><em>4.5 minutes</em><em> before Jada arrived.</em>

Step-by-step explanation:

<em>Information fetching:</em>

  • 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

<em>Part A) At what rate is the amount of water in the tank changing?</em>

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 <em>-2/3 gallons per minute. </em>Hence, <em>the amount of water in the tank is changing at </em><em>-2/3 gallons per minute. </em>

<u><em>Note</em></u><u><em>: </em></u><u>negative sign indicates the number of gallons of water are decreasing.</u>

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

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

<em>So, it will take </em><em>7.5 minutes</em><em> for the tank to drain completely.</em>

<em>Part C) How many minutes before Jada arrived was the water tank completely full</em>

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

<em>So, the water tank was completely full </em><em>4.5 minutes</em><em> before Jada arrived.</em>

<em />

<em>Keywords: time rate of change, time</em>

<em> Learn more about time rate of change from brainly.com/question/6279456</em>

<em> #LearnwithBrainly </em>

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Gnesinka [82]
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What is the missing step in solving the inequality 5 – 8x &lt; 2x + 3? Add 2x to both sides of the inequality. Subtract 8x from
kvasek [131]

Answer:

⇒ Add 8x to both sides of the inequality

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Step-by-step explanation:

First, you subtract by 5 from both sides of equation.

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Solve.

-8x<2x-2

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Solve to find the answer.

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