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nydimaria [60]
3 years ago
12

A swimming pool that holds 1200 gallons of water can be completely drained by a two pumps. The first pump is small and can only

remove 300 gallons from the pool. If the second pump is used and it removes 20 gallons every minute, how many minutes will it take to completely drain the pool?​
Mathematics
1 answer:
sp2606 [1]3 years ago
6 0

Answer: 45 minutes

Step-by-step explanation:

the first pump takes care of 300 gallons so we need to worry about the remaining 900 gallons. the second pump removes 20 gallons per minute so all u have to do to find how many minutes it would take is divide 900 gallons by 20 gallons a minute which gives you 45

it will take 45 minutes to completely drain the pool

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The points (3, 2) and ( -2, -3) are solutions to a system of two linear equations. What must be true about the two linear equati
Gala2k [10]

Answer:

The two linear equations are the same line

Step-by-step explanation:

two different linear equations can only possibly intersect at one point. once the two lines intersect, they cannot curve back to intersect once again.

6 0
4 years ago
Find out the number of combinations and the number of permutations for 8 objects taken 6 at a time. Express your answer in exact
umka2103 [35]

Solution:

The permutation formula is expressed as

\begin{gathered} P^n_r=\frac{n!}{(n-r)!} \\  \end{gathered}

The combination formula is expressed as

\begin{gathered} C^n_r=\frac{n!}{(n-r)!r!} \\  \\  \end{gathered}

where

\begin{gathered} n\Rightarrow total\text{ number of objects} \\ r\Rightarrow number\text{ of object selected} \end{gathered}

Given that 6 objects are taken at a time from 8, this implies that

\begin{gathered} n=8 \\ r=6 \end{gathered}

Thus,

Number of permuations:

\begin{gathered} P^8_6=\frac{8!}{(8-6)!} \\ =\frac{8!}{2!}=\frac{8\times7\times6\times5\times4\times3\times2!}{2!} \\ 2!\text{ cancel out, thus we have} \\ \begin{equation*} 8\times7\times6\times5\times4\times3 \end{equation*} \\ \Rightarrow P_6^8=20160 \end{gathered}

Number of combinations:

\begin{gathered} C^8_6=\frac{8!}{(8-6)!6!} \\ =\frac{8!}{2!\times6!}=\frac{8\times7\times6!}{6!\times2\times1} \\ 6!\text{ cancel out, thus we have} \\ \frac{8\times7}{2} \\ \Rightarrow C_6^8=28 \end{gathered}

Hence, there are 28 combinations and 20160 permutations.

7 0
1 year ago
A) Write 600 as the product of prime factors.<br> Give your answer in index form.
dlinn [17]

Answer:

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Step-by-step explanation:

Make a factor tree.

But let me explain the above to prove it's correct.

3 × 5 = 15

15 × 5 = 75

75 × 2 = 150

150 × 2 = 300

300 × 2 = 600

Therefore 600 as a product of prime factors is: <u>3 × 5 × 5 × 2 × 2 × 2</u>

4 0
3 years ago
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yawa3891 [41]

Answer:

8 + 32v

Step-by-step explanation:

6 0
3 years ago
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How do I start this?? what is the answer, im not really good at math
storchak [24]
-12 would be it because 2 negatives make a positive so -11+23 is -12
8 0
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