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Leni [432]
3 years ago
8

A new type of pump can drain a certain pool in 3 hours. An older pump can drain the pool in 9 hours. How long will it take both

pumps working together to drain
the pool?
Mathematics
2 answers:
stepladder [879]3 years ago
7 0
Together the pool can be drained in 2 hours and 18 minutes.
Or if im correct 4.5 hours
ale4655 [162]3 years ago
6 0

Answer: Together the pool can be drained in 2 hours and 18 minutes.

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Use the functions f(x) and g(x) to determine which function has the smallest zero and provide its coordinates.
Veseljchak [2.6K]

Answer:

Function with smallest zero  is:

f(x); (2, 0).

Step-by-step explanation:

f(x):

2x2 − 14x + 20 = 0

x^2 - 7x + 10 = 0

(x - 5)(x - 2) = 0

So the zeroes are (2, 0) and (5, 0)

g(x):

From the table:

when g(x) = 0, x =19 so its zero is (19, 0).

3 0
2 years ago
If a pond has a major axis of 68 feet and a minor axis of 32 feet how far apart are the foci
Bogdan [553]

Answer:

The distance between foci is 60 feet

Step-by-step explanation:

we are given

a pond has a major axis of 68 feet

so, a=\frac{68}{2} =34

a minor axis of 32 feet

so, b=\frac{32}{2} =16

now, we know ellipse formula

c^2=a^2-b^2

where

c is the distance between center and focus

so, we can plug it and find c

c^2=34^2-16^2

c=30

Distance between foci is

=2c

=2\times 30

=60


6 0
3 years ago
Create a system of equations to solve
antiseptic1488 [7]
R=2K which equals 2R=4K
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Subtract first equation from second equation.
2R=32 so R=16

Plug into first equation
16=2K so K=8

Now plug both into second equation to check
4R-4K=4(R-K)=4(8)=32 it works

So Roberto is 16 and Katie is 8
(In 4 years R would be 20 and K would be 12 which has a difference of 8)
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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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