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Darina [25.2K]
3 years ago
8

working together, two pumps can drain a certain pool in 4 hours. if it takes the older pump 9 hours to drain the pool by itself,

how long will it take the newer pump to drain the pool on its own?
Mathematics
2 answers:
Kryger [21]3 years ago
5 0
5 hours because u subtract 9 from 4 u get 5 hours
slava [35]3 years ago
3 0

Answer: Number of hours newer pump needed to drain is given by

7\dfrac{1}{5}\ hours

Step-by-step explanation:

Since we have given that

Number of hours taken by two pumps = 4 hours

Work done by two pumps = \dfrac{1}{4}

Number of hours taken by older pump = 9 hours

Work done by older pump = \dfrac{1}{9}

According to question, work done by new pump would be

\dfrac{1}{4}-\dfrac{1}{9}\\\\=\dfrac{9-4}{36}\\\\=\dfrac{5}{36}

So, Number of hours newer pump needed to drain is given by

\dfrac{36}{5}=7\dfrac{1}{5}\ hours

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Help with this two column proof
ddd [48]
We're given LM = NO which will be used in substitution later.

By the segment addition postulate, we can write 
LN = LM+MN
which basically says "glue LM and MN together to get LN". All three segments fall on the same line.

Now substitute or replace LM with NO. This works because LM = NO is given

So we go from this
LN = LM+MN
to this
LN = NO+MN

Rearrange terms to go from 
LN = NO+MN
to 
LN = MN+NO
The formal property used is the "Commutative Property of Addition"

Now notice on the right hand side we can combine MN and NO to get MO. Again this is using the segment addition postulate. 

So the last step is going from 
LN = MN+NO
to 
LN = MO

Have a look at the attached image to see how to format this proof into a two-column proof. 

3 0
3 years ago
Simplify the expression.<br><br> 4y + 3( y+1) + 2 (x + 5)
Alik [6]

Answer:

4y + 5x + 13

Step-by-step explanation:

4y + 3(y + 1) + 2(x+5)

Distribute

4y + 3y + (3 x 1) + 2x + (2 x 5)

4y + 3y + 3 + 2x + 10

Combine like terms

4y + 5x + 13

5 0
3 years ago
Given that the measurement is in centimeters, find the area of the circle to the nearest tenth. (Use 3.14 for π) the radius is 3
Fofino [41]

Answer:

Area of the circle = 28.26cm^2

Step-by-step explanation:

Radius of the circle= 3 cm

Area of the circle=\pi *r^2

As,  

        \pi =\frac{22}{7}=3.14

Putting the values in the formula:

Area of the circle=  3.14*3*3

    =3.14*9\\\\=28.26cm^2

The area of the circle is 28.26cm^2

3 0
3 years ago
Hey can you please help me posted picture of question
Rudik [331]
Following changes are made in graph of G(x) to obtain F(x)

1) Vertical stretch by a factor of 2
So, G(x) will be changed to 2G(x)

2) Shift towards Right by 2 units
So, 2G(x) will be changed to 2G(x - 2)

3) Upward shift by 2 units.
So, 2G(x - 2) will be changed to 2G(x - 2) + 2

Thus,

F(x) = 2G(x - 2) + 2
F(x) = 2(x - 2)² + 2

Therefore, option C is the correct answer
3 0
3 years ago
I need help i dont know the answers
Arlecino [84]

Answer: Change the number: 36

To:48

Step-by-step explanation:

12x2 is 24 but 24 x 2 isn’t 36

5 0
3 years ago
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