what are the five different times in which the minutes before are the same as the minutes after the hour

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 cons

worty [1.4K]

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.

Keywords: time rate of change, time

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3 0

3 years ago

Suppose that the mean score of a class of 32 students was 74. the 19 male students in the class had a mean score of 70. what was

andrew-mc [135]

Mean = sum of values / number of values
74 = x/32
2368 = x

70 = y/19
1330 = y

mean for female students = (2368 - 1330)/(32-19) = 79.85

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2 years ago

What type of proportion is shown in 12 : 4 = 24 : 8?

Dmitry [639]

Answer:

3:1

Step-by-step explanation:

7 0

2 years ago

1. Chris takes 25 minutes to replace one car tyre.

vekshin1

Chris and Jim must replace a total quantity of 17 tyres.

<h3>What is the minimum number of tyres to be replaced?</h3>

In this problem we must use an inequality of the form f(x) ≥ a, where f(x) is the difference between the number of tyres replaced by Jim and the number of tyres replaced by Chris:

(25/20) · x - x ≥ 3

(5/20) · x ≥ 3

x ≥ 12

Then, the minimum number of tyres to be replaced is n = 15 + 12 = 17 tyres.

To learn more on inequalities: brainly.com/question/20383699

#SPJ1

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1 year ago

Steve makes the tree diagram shown below to find the possible outcomes of tossing a penny, a nickel, and a dime. What is the pro

kirza4 [7]

The answer is B) 1/4.

There are 2 outcomes in his tree that have all coins with the same side up: HHH and TTT. There are 8 total outcomes. This makes the probability 2/8 = 1/4.

3 0

3 years ago