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Kobotan [32]
2 years ago
12

A new type of pump can drain a certain pool in 6 hours. An older pump can drain the pool in 12 hours. How long will it take both

pumps working together to drain the pool?
Mathematics
1 answer:
Roman55 [17]2 years ago
8 0

Answer:

240 min

Step-by-step explanation:

if we convert it to minutes, one pool is drained in 360 min, while using another pump requires 720 min. the problem requires them working together, so we need to find the amount of pool drained in a unit pace, being one minute. using the first pump, in 1 minute 1/360 of the pool is drained, and 1/720 for the second pump. We can add them together, thus gaining 3/720 of the pool drained in 1 minute if they are applied together. then, you calculate 720/3 to find out how many minutes it takes for the whole pool to be drained, and you get 240

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4(c + d) -3c + 5d when c=1.5 and d= -6.2
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Answer:

-54.3

Step-by-step explanation:

4(1.5−6.2)−4.5−31

=(4)(−4.7)−4.5−31

=−18.8−4.5−31

=−23.3−31

=−54.3

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2 years ago
PLEASE HELP! doing a test!
quester [9]
D is the correct answer to the equation.
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2 years ago
300/28 in simplest form
lesantik [10]

<u><em>Answer:</em></u>

The reduced form of  

300 /28  is  75 /7

<u><em>Steps to simplifying fractions: </em></u>

Find the GCD (or HCF) of numerator and denominator

GCD of 300 and 28 is 4

Divide both the numerator and denominator by the GCD

300 ÷ 4

28 ÷ 4

<em><u>Reduced fraction:  </u></em>

75 /7

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3 years ago
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A professor went to a website for rating professors and looked up the quality rating and also the "easiness" of the six full-tim
Marat540 [252]

We are asked to determine the correlation factor "r" of the given table. To do that we will first label the column for "Quality" as "x" and the column for "Easiness" as "y". Like this:

Now, we create another column with the product of "x" and "y". Like this:

Now, we will add another column with the squares of the values of "x". Like this:

Now, we add another column with the squares of the values of "y":

Now, we sum the values on each of the columns:

Now, to get the correlation factor we use the following formula:

r=\frac{n\Sigma xy-\Sigma x\Sigma y}{\sqrt{(n\Sigma x^2-(\Sigma x)^2)(n\Sigma y^2-(\Sigma y)^2)}}

Where:

\begin{gathered} \Sigma xy=\text{ sum of the column of xy} \\ \Sigma x=\text{ sum of the column x} \\ \Sigma y=\text{ sum of the column y} \\ \Sigma x^2=\text{ sum of the column x\textasciicircum2} \\ \Sigma y^2=\text{ sum of the column y\textasciicircum2} \\ n=\text{ number of rows} \end{gathered}

Now we substitute the values, we get:

r=\frac{\left(6)(70.56)-(25.2)(16.4\right)}{\sqrt{((6)(107.12)-(25.2)^2)((6)(47.82)-(16.4)^2)}}

Solving the operations:

r=0.858

Therefore, the correlation factor is 0.858. If the correlation factor approaches the values of +1, this means that there is a strong linear correlation between the variables "x" and "y" and this correlation tends to be with a positive slope.

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If f(x)=81, what is x?
Allushta [10]

Answer:

There's not enough information...

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