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valina [46]
3 years ago
13

A pool can be filled with water by a large pipe within six hours .A smaller pipe will take 9 hours to fill the pool.How long wil

l it take to fill the pool if the two pipes operate together
Mathematics
1 answer:
NikAS [45]3 years ago
5 0

Answer:

3.6 hours

Step-by-step explanation:

The formula is

1/a+1/b = 1/c  where a and b are the times working along and c is the time working together

1/6 + 1/9 = 1/c

Multiply by 36c to clear the fractions

36c (1/6 + 1/9 = 1/c)

6c +4c = 36

10c = 36

Divide by 10

10c/10 = 36/10

c = 3.6 hours working together

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irga5000 [103]

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Write an expression for the calculation eight minus the sum of five and 43 divided by
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8 - 5 + 43 / ?

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4 years ago
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At Choo Choo Mike's toy store, there are 100 toys that are randomly selected. Out of those 100, 12 of them are defective. What i
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Answer:

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Step-by-step explanation:

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3 years ago
-12 - 6p - (-2) combining like terms with negative coefficients
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- 12 - 6p - (-2) =

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3 years ago
Find the value of k if: (2x − y)² − (2x + y)² = 4xyk​
Viefleur [7K]

Answer:

k = - 2

Step-by-step explanation:

( 2x - y )²

Formula : -

( a - b )² = a² + b² - 2ab

Here,

a = 2x

b = y

( 2x - y )²

= ( 2x )² + y² - 2 ( 2x ) ( y )

= 4x² + y² - 4xy

So,

( 2x - y )² = 4x² + y² - 4xy

( 2x + y )²

Formula : -

( a + b )² = a² + b² + 2ab

Here,

a = 2x

b = y

( 2x + y )²

= ( 2x )² + y² + 2 ( 2x ) ( y )

= 4x² + y² + 4xy

So,

( 2x + y )² = 4x² + y² + 4xy

( 2x - y )² - ( 2x + y )²

= 4x² + y² - 4xy - ( 4x² + y² + 4xy )

= 4x² + y² - 4xy - 4x² - y² - 4xy

= 4x² - 4x² + y² - y² - 4xy - 4xy

= 0 + 0 - 8xy

= - 8xy

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- 8xy / 4xy = 4xyk / 4xy

- 2 = k

k = - 2

Therefore, the value of k is - 2.

6 0
2 years ago
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