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MAVERICK [17]
3 years ago
8

a rectangular tank can be filled with water by two pipes in 100/9 minutes.If the large pipe alone takes 5 minutes less to fill t

he tank than the smaller pipe finde the time each pipe takes to fill the tank
Mathematics
1 answer:
Kitty [74]3 years ago
7 0
Let,the time taken by larger pipe = x
By smaller pipe = x+5

It would be: 1/x + 1/(x+5) = 9/100
= x+5+x /(x)(x+5) = 9/100
= 2x+5 / x²+5x = 9/100
= 100(2x + 5) = 9(x² + 5x)
= 200x + 500 = 9x² + 45x
= 9x² - 155x - 500 = 0
= 9x² - 180x + 25x - 500 = 0
= 9x(x - 20) + 25(x - 20) = 0
= (9x + 25) (x - 20) = 0
= x = -25/9 or x = 20

Time can't be in negative so -25/9 is rejected.
Now,x + 5 = 20 + 5 = 25

In short, Your Larger pipe takes 20 minutes and smaller pipe takes 25 minutes

Hope this helps!
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In the figure, ∠4 is an exterior angle to ∠AUL.
marin [14]

a) Here, sum of two non-adjacent angles: 52 + 25 = 77

Now, ∠3 = 180 - 77   [ sum of all angles in a triangle is 180 ]

so, ∠3 = 103

Now, ∠3 + ∠4 = 180  [ Supplementary angles ]

So, ∠4 = 180 - ∠3

∠4 = 180 - 103 = 77

∠4 = 77 [ which is sum of two non-adjacent angles ]

....Hence proved.

b) m∠4 = 77 

[ Solved in previous section ]

Hope this helps!

3 0
3 years ago
Read 2 more answers
Minute Maid states that a bottle of juice contains 473 mL. Consumer groups are interested in determining if the bottles contain
kramer

Answer:

The average contents of all bottles of juice in the population

\mu = 473\text{ mL}

Step-by-step explanation:

We are given the following in the question:

Population mean, μ =  473 mL

Sample mean, \bar{x} = 472 mL

Sample size, n = 30

Sample standard deviation, s = 0.2

First, we design the null and the alternate hypothesis

H_{0}: \mu = 473\text{ mL}\\H_A: \mu < 473\text{ mL}

Representation of \mu

  • It is the population parameter for mean.
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6 0
4 years ago
The scale on a map is 1 :50000.
mestny [16]

Answer:

The actual area of the field in square kilometers is 30000000 km^2

Step-by-step explanation:

Scale : 1 cm = 50000 km

Area of field on map = 1.2 cm^2

Now , 1 cm = 5000 km

1 cm^2 = (5000 km)^2

We are supposed to find the actual area of the field in square kilometers.

So, the actual area of the field in sq. km =1.2 \times  (5000)^2

Actual area of the field in sq. km =30000000 km^2

Hence the actual area of the field in square kilometers is 30000000 km^2

6 0
3 years ago
What are the whole number solution of x &lt; 4?
MAXImum [283]

Answer:

Any number less than 4 (3 or less)

Step-by-step explanation:

Note that it is a less than sign (<) and not a less than or equal too sign. This means that the answer choices does not include 4. Any number less than 4 is your answer, (for example: 3, 2, 1, 0, -1, -2, etc.)

~

3 0
3 years ago
If you answer this you cool but still PLEASEE HELPP
defon
Its D

Because the rate of change is 1.5 and 1.5x10 is 15
5 0
3 years ago
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