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Juliette [100K]
3 years ago
14

a city stores fresh water in a spherical tank. The tank has a radius of 32 feet. One cubic foot is approximately 7.5 gallons. If

the city drains 140,000 gallons of water out of the full tank, how many gallons are left in the tank. Round your answer to the nearest gallon.
Mathematics
1 answer:
Serjik [45]3 years ago
6 0
Answer: There will be about 888,915 gallons of water left in the spherical tank.

First, we need to determine the volume of the tank. The volume formula for a sphere is (4/3)pi(r^3). All we have to do is input the 32 for pi and evaluate. You will have a volume of 137,189 cubic feet.

Now, multiply that by 7.5 and you will have 1,028,915 gallons of water in the tank.

Finally, just subtract the 140,000 gallons and we are at our answer.
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Can someone explain how to get the answer for the following question ?
zhenek [66]
The answer to the question is 1-5
3 0
2 years ago
Can someone help me with this
insens350 [35]
Let's solve this problem step-by-step.

STEP-BY-STEP EXPLANATION:

We will be using simultaneous equations to solve this problem.

The sum of angles on a straight line is 180°.

( R ) and ( 2x + 5 ) are both on the same straight line.

Therefore:

Equation No. 1 -

R + 2x + 5 = 180

R = 180 - 2x - 5

R = 175 - 2x

Vertically opposite angles are equivalent to each other.

( R ) is vertically opposite ( 3x + 15 ).

Therefore:

Equation No. 2 -

R = 3x + 15

Substitute the value of ( R ) from the first equation into the second equation to solve for ( x )

R = 3x + 15

175 - 2x = 3x + 15

- 2x - 3x = 15 - 175

- 5x = - 160

x = - 160 / - 5

x = 160 / 5

x = 32

Next we will substitute the value of ( x ) from the second equation into the first equation to solve for ( R ).

Equation No. 2 -

R = 175 - 2x

R = 175 - 2 ( 32 )

R = 175 - 64

R = 111

FINAL ANSWER:

Therefore, the answer is:

R = 111

x = 32

Hope this helps! :)
Have a lovely day! <3
7 0
3 years ago
Ax+by+c=0 solve for y
kvv77 [185]

Answer: \large\boxed{y=\frac{-ax}{b} -\frac{c}{b}}

Step-by-step explanation:

ax+by+c=0\\ax+by=-c\\by=-ax-c\\y=\frac{-ax-c}{b}\\y=\frac{-ax}{b} -\frac{c}{b}

8 0
2 years ago
HELP ASAP : Find the largest value of n such that 5x^2+nx+48 can be factored as the product of two linear factors with integer c
Anna71 [15]

Answer:

n=241

Step-by-step explanation:

We are given

5x^2+nx+48

Let's assume it can be factored as

5x^2+nx+48=(5x-s)(x-r)

now, we can multiply right side

and then we can compare it

5x^2+nx+48=5x^2-5rx-sx+rs

5x^2+nx+48=5x^2-(5r+s)x+rs

now, we can compare coefficients

rs=48

5r+s=-n

n=-(5r+s)

now, we can find all possible factors of 48

and then we can assume possible prime factors of 48

48=-+(1\times 48)

48=-+(2\times 24)

48=-+(3\times 16)

48=-+(4\times 12)

48=-+(6\times 8)

Since, we have to find the largest value of n

So, we will get consider larger value of r because of 5r

and because n is negative of 5r+s

so, we will both n and r as negative

So, we can assume

r=-48 and s=-1

so, we get

n=-(5\times -48-1)

n=241


7 0
3 years ago
You have $50 to spend at the fair. Admission is $5 and tickets are $0.50 each. How many tickets can you buy? {Write an equation.
anzhelika [568]

Answer:

You can buy 90 tickets

6 0
3 years ago
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