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3 years ago

Determine whether

Mathematics

1 answer:

Alina [70]3 years ago

3 0

Answer:

Grade 8 Worktext-Science Quarter 3

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A pump can fill a swimming pool in 8 hours. The pool also has a drain that can empty the pool in 10 hours. If someone turns on t

cluponka [151]

Answer:

40 hours will it take for the pool to fill.

Step-by-step explanation:

A pump can fill a swimming pool in 8 hours.

Work done by pump to fill in 1 hour is $\frac{1}{8}$

The pool also has a drain that can empty the pool in 10 hours.

Work done by pump to drain in 1 hour is $\frac{1}{10}$

If someone turns on the pump to fill the pool, but forgets to shut the drain.

Work done by both pipe in 1 hour is

$W=\frac{1}{8}-\frac{1}{10}$

$W=\frac{10-8}{80}$

$W=\frac{2}{80}$

$W=\frac{1}{40}$

Both pipe filled $\frac{1}{40}$ part of pool in hours = 1

Both pipe filled complete pool in hours = $\frac{1}{\frac{1}{40}}=40$

Therefore, 40 hours will it take for the pool to fill.

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3 years ago

Which statement correctly describes the expression (-60)(-5)?

Elina [12.6K]

It would be b. If two numbers are negative and your multiplying them, it would be positive!

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4 years ago

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Ootballs for a total bill of $65.94. What is the cost per each football?

gavmur [86]

Answer:

Step-by-step explanation:

Actually your questions is not complete, can you repost it for clarity

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3 years ago

A fair coin is tossed three times. What is the probability of obtaining one Head and two Tails?(A fair coin is one that is not l

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3/8 is the answer ;)

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3 years ago

Which of the following is true regarding the solutions to the logarithmic equation below? 2log3(x)=4 log3(x^2)=4 x^2=3^4 x^2=81

bezimeni [28]

Answer:

$x=-9$ is an extraneous solution: True

$x=9$ is the only solution: True

Step-by-step explanation:

The given logarithmic equation is: $2\log_3x=4$

Apply the property $n\log_ab=\log_ab^n$ to the LHS to get: $\log_3x^2=4$

We rewrite the corresponding indicial expression to get:

$x^2=3^4$

Simplify the RHS to get:

$x^2=81$

Take square root to get:

$x=\pm 9$

Since the domain of the logarithmic function is positive real numbers, the only solution is $x=9$

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3 years ago

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