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padilas [110]
3 years ago
14

Faucet A flows at a rate of 100 liters per 5 minutes and Faucet B flows at a rate of 100 liters per 4 minutes into an empty pool

. How many minutes do the two faucets take to fill a pool with 9,000 liters of water?
Mathematics
1 answer:
Dmitriy789 [7]3 years ago
8 0

Answer:

It will take both faucets 200 minutes to fill a pool with 9,000 liters of water

Step-by-step explanation:

Here, we want to know the time it will take for both faucets to fill a pool with 9,000 liters of water

What we need here is to have a joint rate for both faucets;

For the first faucet, we have a rate of 100 liters per 5 minutes so this means in a minute;

100/5 = 20 liters per minute

For the second faucet, the per minute rate will be 100/4 = 25 liters per minute

So therefore, the joint rate will be;

25 liters per minute + 20 liters per minute = 45 liters per minute

So the time needed to fill 9,000 liters of water in a pool will be ;

9000 liters/ 45 liters per minute = 200 minutes

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Answer with explanation:

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2х + y = 20<br> 6x — 5y = 12<br> How do i solve this? This is Systems of equations: Substitution
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6 0
3 years ago
Angie and Kenny play online video games. Angie buys 1 software package and 1 month of game play. Kenny buys 1 software package a
balandron [24]

The cost of one month of game play is $14

Step-by-step explanation:

Angie and Kenny play online video games

  • Angie buys 1 software package and 1 month of game play
  • Kenny buys 1 software package and 3 months of game play
  • Each software package costs ​$20
  • If their total cost is ​$96

We need to find the cost of one month of game play

∵ Angie buys 1 software package

∵ Kenny buys 1 software package

∵ Each software package costs ​$20

- Find the total cost of their software package

∴ The total cost of their software package = 20 × 1 + 20 × 1

∴ The total cost of their software package = 20 + 20 = 40

∴ The total cost of their software package is $40

Assume that the cost of one month of game​ play is $x

∵ The cost of one month of game​ play = x

∵ Angie buys 1 month of game play

∵ Kenny buys 3 months of game play

- Find the total cost of their game​ play

∴ The total cost of their game play = x × 1 + x × 3

∴ The total cost of their game play = x + 3x = 4x

∴ The total cost of their game play is $4x

∵ Their total cost is ​$96

- Add the costs of their software package and their game

   play and equate the sum by 96

∴ 40 + 4x = 96

- Subtract 40 from both sides

∴ 4x = 56

- Divide both sides by 4

∴ x = 14

The cost of one month of game play is $14

Learn more:

You can learn more about the word problems in brainly.com/question/10557938

#LearnwithBrainly

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