If water ﬂows into a rectangular tank at the rate of 6 cubic feet per minute, how long willit take to ﬁll the tank, which measures 18''x 32'' x 27''

Answers

Answer 1

Answer: v=lwh for a rectangle
18*32*27=v
v=15,552in^3
15,552/12=1296ft^3 converts feet to inches
6*6*6=216ft^3 this is how much is filled up in a minute
1296/216=6 minutes.

Answer 2

Answer: the volume of a rectuangular prism is length×width×height

in this case, the volume will be 18×32×27 = 15,552 cubic inches.

water flows in by cubic feet, so we'll need to either transformthe volume of the tank to feet, or the volume of water flow to inches. in this case, it will make our life easier if we turn the tank valume into feet. 15,552 inches is exactly 1296 feet.

water flows in 6 cubic feet per minute, so we calculate that 1,296 ÷ 6 = 216

water will be flowing in for 3 hours and 36 minutes thusly.

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Find a 3 by 3 magic square using numbers 2,5,8,12,15,18,22,25,29

Answers

I could not get it to work with all of those numbers. The only number that caused an issue was 29. I used 28 instead and it worked. I'm not sure if 29 was a typo, but I couldn't get 29 to work.

Final answer:

To create a 3 by 3 magic square using the given numbers, arrange them in a way that each row, column, and diagonal adds up to the same sum.

Explanation:

To create a 3 by 3 magic square using the given numbers, we need to arrange them in a way that each row, column, and diagonal adds up to the same sum. Let's examine the given numbers:

Now, let's find a possible arrangement:

In this arrangement, each row, column, and diagonal adds up to 54, making it a 3 by 3 magic square.

Learn more about 3 by 3 magic square here:

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A mother puts $10,000 into a special bank account on the date of birth of her first born. The account earns interest at a rate of 4%, and compounds 4 times per year. When the child turns 18, he receives the lump sum. How much will the child receive?

Answers

the equation to calculate compound percentage rate is :
A(t) = P(1+(r/n))^(nt)
In this case t is 18 years, we put rate (r), number of compounds per day.
A(18) = 10,000(1+(0.04/4))^(4*18)= 10,000(1.01)^72= $20,470.99

Child will receive $20,470.99 on it's 18 birthday.

Express each number as a quotient of two integer of 54

Answers

There are many possibilities. For example 108/2, -108/-2, 162/3, -162/-3, 216/4, -216/-4, and so forth....

The Greek alphabet contains 24 letters. How many fraternity names with Greek letters can be formed if each fraternity name contains 3 letters and repetition of letters is not permitted?69
12,144
13,824

Answers

For the first letter we have 24 choices. Since letters can't repeat the second letter has 23 choices (24 minus 1 that was used for the first slot) and the third has 22 (24 minus one for the first slot and one for the second slot).

The total number of combinations is thus:
$24 * 23 * 22 = 12,144$