john is filling a bathtub that is 18 inches deep. he notices that it takes two minutes to fill the tub with three inches of water. he estimates that it will take ten more minutes for the water to reach the top of the tub if he continues at the same rate. is he correct?

Answers

Answer 1
Answer: Depth of the bathtub = 18 inches
Time taken to fill 3 inches of the bathtub = 2 minutes
Then
The amount of depth needed to fill with water = (18-3) inches
                                                                         = 15 inches
Time required to fill 15 inches of the bathtub = (15*2)/3 minutes
                                                                       = 30/3 minutes
                                                                       = 10 minutes
So John is correct in thinking that it will take 10 more minutes for the water to reach the top of the tub if he continues at the same rate.
Answer 2
Answer:

John is correct in thinking that it will take 10 minutes to fill the tub with the needed amount of water at the rate it's going.

Further Explanation:

To solve this problem,

1. Sort out the given.

2. Identify the unknown.

3. Set up the equation that will be used to solve the problem.

4. Substitute the values into the given equation.

5. Solve for the unknown.

STEP 1: Identify the given:

depth of bathtub = 18 inches

rate of filling = 3 in/2 min

STEP 2: Identify the unknown:

time to fill bathtub with water = ?

STEP 3 & 4:

The rate of filling, as stated in the problem, is 3 inches for every 2 minutes. Using this equality, the time needed to fill an 18 inch deep bath tub can be solved using the equation below:

time \ to \ fill \ bathtub = 18 \ in \ ((2 \ min)/(3 \ in))\n \ntime \ to \ fill \ bathtub \ = 12 \ min

It will take 12 minutes to fill the bathtub.

STEP 5:

During the first 2 minutes, John observed that 3 in of water had already been put in.

He, therefore, needs to wait for 10 more minutes for the rest of the bath tub to be filled with water.

Learn More

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Keywords: rate, ratio and proportion


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Answers

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Answers


The sentence that shows an example of an allusion is as follows:

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Answer:

Therefore, all of her classmates were astonished by her Rapunzel-like transformation.

Explanation:

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Answers

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1. Directions: Select all the correct answers.How does the third paragraph contribute to the development of ideas in the passage?
It helps to explain the idea in the fourth paragraph about why organic foods often cost more than nonorganic foods.
It defines what organic and nonorganic foods are.
It supports the idea in the first paragraph that genetically modified foods have the potential to cause health issues.
It provides scientific support for the author's position.
It suggests nonorganic foods that may be safe to eat.
Submit

Answers


It helps to explain the idea in the 4th paragraph about why organic foods often cost more than non organic foods.

It supports the idea in the 1st paragraph that genetically modified foods have the potential to cause health issues.

Answer:

It Supports the idea in the first paragraph that genetically modified foods have the potential to cause health issues.

It provides scientific support for the author's opinion

Explanation:

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Answers

Answer:

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Final answer:

The section of 'The Tragedy of Hamlet, Prince of Denmark' that the student is asking about shows a tense interaction between Hamlet and Claudius. This interaction captures the central theme of the play, revealing deceit and corruption. The internal struggles of Hamlet, his contempt for Claudius, and his motivations for revenge are highlighted during this part of the play.

Explanation:

In this section of William Shakespeare's 'The Tragedy of Hamlet, Prince of Denmark', the interaction between Hamlet and Claudius is tense and complex. Claudius, the new king and Hamlet's uncle, appears to be kind and caring towards Hamlet initially, which contrasts with Hamlet’s resentment and suspicion towards him. This interaction sheds light on the deceit and corruption within the court of Denmark. The duplicity and false affection of Claudius and the cynical perspective of Hamlet capture the central theme of the play, that something is 'rotten' in the state of Denmark.

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'The Tragedy of Hamlet, Prince of Denmark' by William Shakespeare provides a study in power dynamics and personal motivation, and the interaction between Hamlet and Claudius at this scene can be seen pivotal to understanding the entire narrative further.

Learn more about Hamlet's interaction with Claudius here:

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