<span>The Volume of a Cylinder = </span><span>π <span>• r² • height<span>
</span></span></span>radius = 13.5 feet
volume = PI * 13.5^2 * 4 feet (the problem states it is to be filled to a depth of 4 feet)
volume = PI * 182.25 * 4
volume =
<span>
<span>
<span>
2,290 cubic feet</span></span></span>
The hose delivers 80 <span>cubic feet per hour so it will take:
</span>2,290 / 80 =
<span>
<span>
<span>
28.625
</span>
</span>
</span>
hours
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The volume of the pool is:
volume = PI * 182.25 * 4.5
=
<span>
<span>
<span>
2,576.</span></span></span>5 cubic feet
Answer:
x=2
Step-by-step explanation:
So if the equation is -12+7x=x, you need to subtract 7x, because you want to know the value of x. So the equation now looks like this: -12=-6x
you divide-6 to both sides because we want to iscolate the x
The answer is x=2
Hope it helps!
Answer:
Step-by-step explanation:
3ab + 7a² + 2b² - (7a² - 4ab + 2b²) = 3ab + 7a² + 2b² - 7a² + 4ab - 2b²
Now combine like term. Like terms have same variable with same power.
= <u>3ab + 4ab</u> <u>+ 7a² - 7a²</u> + <u>2b² - 2b²</u>
= 7ab
Answer:
5 months
Step-by-step explanation:
Daniel's provider charges $60 for installation and $45.95 per month. Sydney's provider has free installation and charges $57.95 per month
Let x = number of months
Daniel = 60 + 45.95x
Sydney = 0 + 57.95x
Equate both equations
60 + 45.95x = 0 + 57.95x
Collect like terms
60 - 0 =57.95x - 45.95x
60 = 12x
Divide both sides by 12
x = 60 / 12
= 5
x = 5 months
Daniel and Sydney would have paid the same amount for high-speed Internet service after 5 months
the roots are -1/2 and -5
the smaller root would be -5 since its further away from the 0
