Would Y be the same as 146

Please help answer all of the following multi-step equations correctly

Pie

Thats 1 and 2 , im not sure on 2 and i cannot do 3. For 3 a math program said 5

3 0

1 year ago

For a certain bathtub, the hot water faucet can fill the tub in 12 minutes. The cold water faucet can fill the tub in 8 minutes.

Fofino [41]

If both faucets are used together, it time taken by them to fill the tub is 4.8 minutes.

<h3>What is the concept of time and work?</h3>

Time and work share a fundamental idea in common with other arithmetic topics, namely the idea of proportionality.

When the amount of work is constant, efficiency is inversely proportional to the length of time required.

Important Time and Work Formula:

Work Done = Time Taken × Rate of Work.
Rate of Work = 1 / Time Taken.
Time Taken = 1 / Rate of Work.
If a piece of work is done in x number of days, then the work done in one day = 1/x.
Total Wok Done = Number of Days × Efficiency.
Efficiency and Time are inversely proportional to each other.

Calculation for the time taken by both faucet to fill the tub.

The unit should be tub per minute.

Then, do the reciprocal of the result to have minute per tub.

The hot water faucet can fill the tub in 12 minutes.

The cold water faucet can fill the tub in 8 minutes.

The filling rate for both faucets filling the tub at the same time is the sum of their rates.

Let 't' be the time taken by both faucets.

Then,

$\frac{1}{12} +\frac{1}{8} =\frac{1}{t}$

$\frac{8+12}{8*12} =\frac{1}{t}$

$\frac{1}{t} =\frac{20}{96}$

$\frac{t}{1} =\frac{96}{20}$

t = 4.8

Therefore, the time taken by both faucets to fill the tub is 4.8 minutes.

To know more about the formula for calculating power, here

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3 0

1 year ago

Laila guesses on all 20 questions of a multiple-choice test. each question has 4 answer choices. what is the probability of a su

Mrrafil [7]

The probability of a success and a failure is as follows,

P(success) = one - fourth

P(failure) = three - fourth

Definition of Probability

The area of mathematics that deals with numerical representations of the likelihood that an event will occur or that a statement is true is known as Probability. An event's probability is a number between 0 and 1, where, 0 generally denotes the event's impossibility and 1 denotes certainty of that event.

Calculating the Probability

The formula for finding the probability of an event to occur is given by,

P = (favorable outcomes)÷(total number of outcomes)

Now, it is given that each multiple choice question consists of 4 choices.

And, out of these four choices, only one answer is true.

Then, if Laila guesses the answer, the probability of choosing the right answer is given by,

P(success) =1/4

Thus, the probability of choosing the wrong answer will be,

p(failure) = 1 - P(success)

⇒ P(failure) = 1 - (1/4)

⇒ P(failure) = 3/4

Learn more on probability here:

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5 0

1 year ago

GCF of 9ab^2 and 6bc^2

Alchen [17]

For this case we have that by definition, the GCF (Greatest Common Factor) is the largest integer that divides the numbers.

We have the following expressions:

$9ab ^ 2\\6bc ^ 2$

We find the factors of 9 and 6:

$9: 1,3,9\\6: 1,2,3,6$

Thus, the largest number that divides 9 and 6 is 3

It is also observed that "b" is the common variable of both expressions

Therefore, the GCF of the expressions is:

$3b$

Answer:

$3b$

8 0

3 years ago

A sound wave enters a new medium where sound travles faster. How does this affect the frequency and wavelength of the sound?

zhenek [66]

Answer:

The frequency doesn't change. If the wavespeed increases, then the wavelength must also increase ... It's just the distance the wave travels during each complete wiggle.

Step-by-step explanation:

Sound waves are a type of mechanical wave which requires a material medium for transmission. The transmission of such waves occurs as a result of vibration of particles in the material medium. The faster the vibration of the particles the higher the speed of the sound waves.

When a sound enters a new medium where the sound travels faster, it means the vibration of particles is high, and the wavelength of the waves increases which means the speed of the wave has increased. The frequency on the other hand will remain constant.

4 0

3 years ago