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crimeas [40]
3 years ago
14

One pump can fill a swimming pool in 8 hours and another pump can fill it in 10 hours. If both pumps are opened at the same time

, how many hours will it take to fill the pool?
Mathematics
2 answers:
Norma-Jean [14]3 years ago
6 0

Answer: It will take 4.4 hours to fill the pool.

Step-by-step explanation: One pump can fill a swimming pool in 8 hours and another pump can fill it in 10 hours. If both pumps are opened at the same time, how many hours will it take to fill the pool?

Aprox. 4.4 hours.

Hope this Helps!

Oksi-84 [34.3K]3 years ago
4 0

Answer:

It will take 4.4 hours to fill the swimming pool when two pumps are opened.

Step-by-step explanation:

Given:

One pump can fill a swimming pool in 8 hours and another pump can fill it in 10 hours.

First we need to calculate, in 1 hour how much water a pump pour into the swimming pool.

In 1 hour, the first pump can pour water into the swimming pool = \frac{1}{8}

In 1 hour, the second pump can pour water into the swimming pool = \frac{1}{10}

Let "t" be the time taken to fill the pool when two both the pups are opened.

\frac{1}{8} + \frac{1}{10} = \frac{1}{t}

Now we have to solve for t. We have to take LCD of 8 and 10.

The Least common denominator (LCD) of 8 and 10 is 40.

\frac{5}{40} + \frac{4}{40} = \frac{1}{t}

\frac{5 + 4}{40} = \frac{1}{t}

\frac{9}{40} = \frac{1}{t}

Now we have to cross multiply and solve for t

9t = 40

Dividing both sides by 9, we get

t = 4.444

Which is approximately, t = 4.4 hours.

Therefore, it will take 4.4 hours to fill the swimming pool when two pumps are opened.

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koban [17]

Answer:

65°

Step-by-step explanation:

<3 + <6 = 180  because they are same side interior angles

115 + <6 = 180

Subtract 115 from each side

115-115 +<6 = 180 -115

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8 0
4 years ago
Four students were discussing how to find the unit rate for a proportional relationship. Which method is valid? “Look at the gra
IgorC [24]

Answer:  The correct answer is: [A]:

__________________________________________________

       " Look at the graph of the relationship.  Find the y-value of the point that corresponds to x = 1 .   That value is the unit rate. "

__________________________________________________

Step-by-step explanation:

__________________________________________________

Note that the "unit rate" is the term that refers to:

a "quantity" / or "quantitative value" ;  

       →  of some type of "countable units"

{e.g. "currency"  — [such as:  dollars, cents,  pounds] ; "distance/length/ width/ height" — [such as:  miles, kilometers, meters, centimeters, yards, feet, inches] ;  pieces of fruits — [such as:  number of apples;  cans of soda, number of red dresses] ;  

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 per "single unit" of something — {e.g. per hour; per minute; per mile; per ounce; per hour; per dollar, per kilometer, per day, per week.

   {e.g.

             →    " 3 apples eaten  per [single] apricot eaten" ;

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             →   " 8.3 cents per oz."  ;

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             →  " 35 parts per hundred" ; {that is:  " 35 percent" ; or: " 35 % " . } .

             →    " ... The cilantro is on sale for 33 cents per bundle ...} ."

   →  ... to provide a few examples.  

__________________________________________________

     On on Cartesian plane graph,  the  "x-axis" is located on the "horizontal axis" that represents the "independent variable" (or, at times, the "experimental value" — which can be manipulated — or "controlled" —or  be subjected to being "manipulated" / "controlled" / or, "selected".

   The "y-axis" is located on the "vertical axis" that represents the "dependent variable" (or, at times, the "control value") that cannot be "manipulated" / controlled/ or "selected" / since it represents the "y-value" of the corresponding coordinate to which the "x-value" happens to corresponds to at the given value for "x" .

   So, if the "unit rate" represents the "single unit rate" ;  we look at "x = 1 " ;  since we are "choosing" this particular "single" rate of per "single" (i.e. "1" ) ; so we do not have a choice in what "y-value" of the particular graph to select.  We can control the fact that we are "choosing" to find the "unit" rate, so we select the "independent variable" , "x = 1 " . We then examine the "corresponding y-value" that happens to exist when "x = 1 " .

 {Note that we have "no control" over what that "y-value" is ; at the: "[point which:  " x = 1 .] . "

_________________________________________________  

→  As such, that "y-value" [insert that numeric "y-value" ;                        followed by the units represented by the "y-axis" ] ;

            per  " 1 " [insert "single unit" represented by the "x-axis" ] ;

_________________________________________________    

           →   is the:  "unit rate" .

__________________________________________________

So:  

    The correct answer is:    [A]:  

__________________________________________________

     " Look at the graph of the relationship.  Find the y-value of the point that corresponds to x = 1 .   That value is the unit rate. "

__________________________________________________

Hope this answer is helpful to you!

    Best wishes to you in your academic endeavors —

            and within the "Brainly" community!

__________________________________________________

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LUCKY_DIMON [66]

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The equation of the axis of symmetry is x = -b/(2a), which here equals:

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