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Pachacha [2.7K]
2 years ago
15

100%

Mathematics
1 answer:
creativ13 [48]2 years ago
7 0

Using the volume of the spherical balloon, it is found that it will take 24 hours for the balloon to become completely empty.

<h3>What is the volume of a sphere?</h3>

The volume of a sphere of radius r is given by:

V = \frac{4\pi r^3}{3}

Aspherical balloon has a radius of 6 feet, hence the volume is:

V = \frac{4\pi 6^3}{3} = 905

It has already lost 20% of it's air, and air is leaking out of the balloon at a rate of 30 cubic feet per minute, hence the volume after t minutes is given by:

V(t) = 0.8(905) - 30t

V(t) = 724 - 30t

It will be completely empty when:

V(t) = 0

724 - 30t = 0

30t = 724

t = \frac{724}{30}

t = 24.1

Rounding, it will take 24 hours for the balloon to become completely empty.

More can be learned about the volume of a sphere at brainly.com/question/25608353

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Y_Kistochka [10]

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3 0
3 years ago
Simplify -3y+2x-5y-7x
Sphinxa [80]
<h3><em><u>Simplify -3y+2x-5y-7x is:</u></em></h3><h3>-8y - 5x</h3>

<em><u>Solution:</u></em>

<em><u>Given that, we have to simplify</u></em>

-3y + 2x-5y-7x

We can simplify the above expression by combining the like terms

Like terms are terms that has same variable ( with same exponent) with same or different coefficient

From given,

-3y + 2x-5y-7x

Here, like terms are -3y and -5y

And 2x and -7x

Group the like terms

-3y-5y+2x-7x

Combine the like terms

-8y -5x

Thus the given expression is simplified

6 0
3 years ago
Solve for h and c to find what h and c equals; 34.50=4h+7c and 30.50=8h+3c
Irina18 [472]
34.5=4h+7c
(34.5-7c)/4=h
Put h= (34.5-7c)/4 into another equation
30.5=8h+3c
30.5=2(34.5-7c)+3c
30.5=69-14c+3c
11c=38.5
c=38.5/11
Put c=38.5/11 into one of the equations
to calculate the h.


4 0
3 years ago
What is 2,901 rounded to the nearest hundred
beks73 [17]

Answer:

2,900

Step-by-step explanation:

6 0
3 years ago
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Look at the picture.
alexira [117]
A is the correct answer
6 0
3 years ago
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