Maurice works at the circus and needs to clean the water tank for the dolphins. Tank A measuring 50 cm x 70 cm x 70 cm was 2 7 filled with water. Tank B having a base area of 5000 cm² was empty. Water from Tank A was poured into Tank B. What was the height of water in Tank B?

Answers

Answer 1
Answer:

Answer:

14 cm

Step-by-step explanation:

1. First, we need to find the total volume of Tank A. Tank A is a rectangular prism, and the volume of a rectangular prism is given by the formula length x width x height. In this case, it's...

50 cm x 70 cm x 70 cm = 245,000 cubic cm

2. Tank A was 2/7 full, so we need to find out how much water was in Tank A.

To find this, we multiply the total volume by the fraction that's full:

245,000 cm³ * 2/7 = 70,000 cm³.

3. This 70,000 cm³ of water was then poured into Tank B. We want to find out how high the water is in Tank B, so we need to divide the volume of the water by the base area of Tank B.

4. The base area of Tank B is given as 5000 cm². So, the height of the water in Tank B is 70,000 cm³ / 5000 cm² = 14 cm.

So, the height of the water in Tank B is 14 cm.

Hope this helps! :)


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A healthy human heart beats about 1,533,000 times in a year. A sparrow's heart beats about 241,776,000 times in a year. About how many times faster does the sparrow's heart beat compared to the human heart? Estimate using a single digit times a power of 10.

Answers

Answer:

2 * 10^2 times

Step-by-step explanation:

To get the number of times faster the Sparrow’s heart beat compared to the human heart, we divide the number of times the Sparrow’s heart beat compared to a human’s

That will be;

(241,776,000)/(1,533,000) = 157.7142857142857

Now, we want to use a single digit times a power of 10

That will be 1.577 * 10^2

Since it is a single digit, it will be 2 * 10^2

Final answer:

The sparrow's heart beats about 158 times faster compared to the human heart.

Explanation:

A healthy human heart beats about 1,533,000 times in a year, while a sparrow's heart beats about 241,776,000 times in a year.

To find the ratio, we divide the number of times the sparrow's heart beats by the number of times the human heart beats, which gives us:

Ratio = Sparrow's Heart Beats / Human Heart Beats

Ratio = 241,776,000 / 1,533,000

Ratio = 158

Therefore, the sparrow's heart beats about 158 times faster compared to the human heart.

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what are the solutions to the quadratic equation (5y 6)2 = 24? y = and y = y = and y = y = and y = y = and y =

Answers

If you would like to find the solutions to the quadratic equation (5y + 6)^2 = 24, you can do this using the following steps:

(5y + 6)^2 = 24
25y^2 + 2 * 6 * 5y + 36 = 24
25y^2 + 60y + 36 - 24 = 0
25y^2 + 60y + 12 = 0
25 * (y + 6/5)^2 - 24 = 0
1. y = -6/5 - (2 * sqrt(6))/5
2. y = (2 * sqrt(6))/5 - 6/5

The correct result would be y = -6/5 - (2 * sqrt(6))/5 and y = (2 * sqrt(6))/5 - 6/5.

The solution to the quadratic equation is y = -2.18 and y = -0.22

How to evaluate the function?

The equation is given as:

(5y + 6)^2 = 24

Expand

25y^2 + 60y + 36 = 24

Subtract 24 from both sides

25y^2 + 60y + 12 = 0

Using a graphical tool, we have the solution to be:

y = -2.18 and y = -0.22

Hence, the solution to the quadratic equation is y = -2.18 and y = -0.22

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How can I do this exercice (n+1)!/(n+2)! ?

Answers

(n+1)! is equal to (n+1)*n*(n-1)*(n-2)...*3*2*1.  Basically, it multiplies together every positive integer that is at most n+1.  This is the definition of the !, or the factorial function.

(n+2)! is equal to (n+2)*(n+1)*n*(n-1)*(n-2)...*3*2*1, using the same definition.  This thus is equal to (n+1)!*(n+2), so we have:

(n+1)!/(n+1)!(n+2), or:

1/(n+2)

This is our final simplification.

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Answers

Answer:

0.4375

Step-by-step explanation:

All you do is divide the 12 and 1/4 by 28!

Answer:

its answer is 0.4375...

a potato chip company packages chest by stacking them into a tall cylindrical K which units are most appropriate for measuring the thickness of an individual chip​

Answers

Answer:

MIllimeters

Step-by-step explanation:

Its simple who measures this in inches or centimeters, or meters or anything else

James bought 5 boxes of cookies and 2 cakes at the store for his party. The cakes cost $4 each and his total bill was $28.50, how much was each box of cookies?

Answers

Number of cookie boxes bought by James = 5
Number of cakes bought by James = 2
Cost of each cakes = $4
Total bill paid by James = $28.50
Let us assume the cost of the each boxes of cookies = x
Then
5x + (2 * 4) = 28.50
5x + 8 = 28.50
5x = 28.50 - 8
5x = 20.50
x = 20.50/5
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So we can see from the above deduction that the cost of each boxes of cookies bought by James is $4.10