Pipe A can fill a tank in 5 hours. Pipe B can fill the same tank in 7 hours. If both pipes were open, how long would it take them to fill an empty tank?

Answers

Answer 1

Answer:

It would take them 6 hours to fill an empty tank.

Step-by-step explanation:

Add the amount of time it takes Pipe A and Pipe B to fill an empty tank together (5 + 7) and then divide your sum by two. You should get 12 / 2 = 6.

Hope This Helps!

Related Questions

There are 60 students in the school play. 20% of the students are boys. How many boys are in the play?

Answers

Answer:

There are 12 boys in the play.

Step-by-step explanation:

The way you find this answer is by multiplying 60 and .2 which is the decimal version of 20%.

multistage cluster sampling with stratification, systematic sampling, simple random sampling and disproportionate stratified sampling are examples of:

Answers

Multistage cluster sampling with stratification, systematic sampling, simple random sampling and disproportionate stratified sampling are examples of probability sampling.Probability sampling is the process of selecting a sample from a population when the selection is based on the randomization principle, often known as chance or random selection.

What does stratified multistage cluster sampling mean?Multistage sampling, also known as multistage cluster sampling, involves taking a sample from a population in successively smaller groupings. In national surveys, for instance, this technique is frequently employed to collect data from a sizable, geographically dispersed population.For instance, a researcher might be interested in the various eating customs throughout western Europe. It is essentially impossible to gather information from every home. The researcher will first pick the target nations. He or she selects the states or regions to survey from among these nations.

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Which number should be added to
both sides of this quadratic equation
to complete the square?
(-3/2)² + 1 = x² − 3x + (-3/2)²

Which number should be added toboth sides of this quadratic equationto complete the square?(-3/2) + 1

Answers

Answer:

9/4

Step-by-step explanation:

You want to know the value required to complete the square in the equation 1 = x² -3x.

Picture

Your picture shows the required value: (-3/2)² = 9/4.

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Let us suppose a population size of 67 million, and innovation parameter of 0.005 and imitation parameter of 0.84 for Color TV. Estimate how many new users would be added during time period 7.

Answers

To estimate the number of new users that would be added during time period 7, we can use the Bass diffusion model, which is commonly used to model the adoption of new products or technologies.

The Bass diffusion model is given by the formula:

$\[N(t) = \frac{{p \cdot q}}{{q + (p/q) \cdot e^{-((p+q) \cdot t)}}}\]$

where:

- N(t) represents the cumulative number of adopters at time $t$.

- p is the innovation parameter, representing the coefficient of innovation.

- q is the imitation parameter, representing the coefficient of imitation.

- e is the base of the natural logarithm.

Given a population size of 67 million, an innovation parameter of 0.005, and an imitation parameter of 0.84 for Color TV, we can substitute these values into the Bass diffusion model and calculate the number of new users added during time period 7.

$\[N(7) - N(6) = \frac{{p \cdot q}}{{q + (p/q) \cdot e^{-((p+q) \cdot 7)}}} - \frac{{p \cdot q}}{{q + (p/q) \cdot e^{-((p+q) \cdot 6)}}}\]$

Substituting the given values into the equation:

$\[N(7) - N(6) = \frac{{0.005 \cdot 0.84}}{{0.84 + (0.005/0.84) \cdot e^{-((0.005+0.84) \cdot 7)}}} - \frac{{0.005 \cdot 0.84}}{{0.84 + (0.005/0.84) \cdot e^{-((0.005+0.84) \cdot 6)}}}\]$

Evaluating the expression will give us the estimated number of new users added during time period 7.

In LaTeX, the solution can be represented as:

$\[N(7) - N(6) = \frac{{0.005 \cdot 0.84}}{{0.84 + (0.005/0.84) \cdot e^{-((0.005+0.84) \cdot 7)}}} - \frac{{0.005 \cdot 0.84}}{{0.84 + (0.005/0.84) \cdot e^{-((0.005+0.84) \cdot 6)}}}\]$

After evaluating this expression, you will obtain the estimated number of new users added during time period 7.

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Write a polynomial function that has the given zeros.
-3,3, 2/3

Answers

Answer:

Step-by-step explanation:

y = (x + 3)(x - 3) ( x - 2/3)

y = (x + 3)(x - 3) (3x - 2)

The key point you want to study is that (3x - 2) does give a solution at x = 2/3. That's why I made the graph.

Write a polynomial function that has the given zeros.-3,3, 2/3

A box of pancake mix has `6` cups of mix.

Eliza used `\frac{3}{4}` of a cup for a recipe.

What fraction of the box of panc

Answers

The fraction of the box of pancake that eliza used is; 1/8.

What are fractions?

We are told that the box of pancake mix has 6 cups.

Now, Eliza uses 3/4 of a cup for a recipe.

Since there are 6 cups in the box, it means the fraction of the box of pancake that Eliza used is;

(3/4)/6 = 3/24 = 1/8

In conclusion, the fraction of the box of pancake that eliza used is 1/8.

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Which of these expressions is equal to 3−8i?

Answers

Answer:

the second option

Step-by-step explanation:

(5 + i) - (2 + 9i) = 3 — 8i

a room to be carpeted measures 16 feet in length and 12 feet in width the carpet costs 30 per square yard what is the total cost

Answers

A room area

Lenght × Width = 16 × 12

= 192 square feet

1 square yard = 9 square feet

so 1 square feet = 1/9 square yard

192 square feet = 192 × 1/9 square yard

= 64/3 square yard

Total cost

$30 × 64/3 = $640

describe the relationship between six sigma and statistics. what statistical concepts are involved in the six sigma philosophy?

Answers

Six Sigma provides a continuous improvement framework and it has two methodologies.

DMAIC - Define, Measure, Analyze, Improve and Control.

DMADV - Define, Measure, Analyze, Design and verify

What is Six Sigma ?

According to the Six Sigma philosophies, every work can be broken down into discrete processes that may be measured, evaluated, improved, and managed.

Processes result in outputs after requiring inputs (x) (y). You can manage the outputs if you manage the inputs. This is typically written as y = f. (x).

What is a fundamental principle of Six Sigma?

The management practice known as "six sigma" aims to reduce errors. It is based on the idea that reducing defects is essential for improving margins, that costs can be cut, and that increasing customer loyalty can help because it is expensive to harbor defects.

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Air flows into the duct of air-conditioner at 101kPa and 10∘C at a rate of 17 m^3 /min. The diameter of the duct is 23 cm and heat is transferred to the air in the duct by the air-conditioner at a rate of 5 kW. 5. The speed (rounded to two decimal places) of the air as it enters the duct is equal to: (a) 7,36 m/s (b) 6,40 m/s (c) 4,86 m/s (d) 6,82 m/s (e) 10,11 m/s 6. The temperature (rounded to two decimal places) of the air as it exits the duct is equal to: (a) 23,72∘C (b) 23,94∘C (c) 23,65∘C (d) 24,08∘C (e) 24,37∘C

Answers

The correct answer is the speed of the air as it enters the duct is approximately 6.79 m/s.the temperature of the air as it exits the duct is approximately 24.19°C.

To find the speed of the air as it enters the duct, we can use the continuity equation, which states that the mass flow rate of a fluid is constant along a flow path. The equation is given as:

A1v1 = A2v2,

where A1 and A2 are the cross-sectional areas of the duct at the entrance and exit respectively, and v1 and v2 are the speeds of the air at the entrance and exit respectively.

Given:

A1 = π($0.23/2)^2 = 0.04173 m^2$ (convert diameter to radius)

A2 = A1 (since the duct diameter remains constant)

v1 = ? (to be determined)

v2 = ? (to be determined)

We also know that the volume flow rate (Q) is given as:

Q = A1v1 = 17 m^3/min = 0.2833 m^3/s (convert minutes to seconds)

Now we can rearrange the equation to solve for v1:

v1 = Q / A1 = 0.2833 m^3/s / 0.04173 m^2

v1 ≈ 6.79 m/s (rounded to two decimal places)

Therefore, the speed of the air as it enters the duct is approximately 6.79 m/s.

To determine the temperature of the air as it exits the duct, we can use the first law of thermodynamics, which states that the rate of heat transfer (Q) is equal to the mass flow rate (ṁ) times the specific heat capacity (Cp) times the change in temperature (ΔT):

Q = ṁ * Cp * ΔT,

where Q is given as 5 kW, ṁ is the mass flow rate (which remains constant), Cp is the specific heat capacity of air at constant pressure, and ΔT is the change in temperature.

Given:

Q = 5 kW = 5000 W

ṁ = ρ * Q = ρ * A2 * v2 (mass flow rate equation, assuming constant density)

Cp = specific heat capacity of air = 1005 J/(kg⋅K) (approximately)

ΔT = ? (to be determined)

We need the density (ρ) of the air to calculate ṁ. Using the ideal gas law:

PV = nRT,

where P is the pressure, V is the volume, n is the number of moles, R is the ideal gas constant, and T is the temperature in Kelvin.

We know:

P = 101 kPa = 101000 Pa

V = Q = 0.2833 m^3/s

R = 8.314 J/(mol⋅K) (ideal gas constant)

T = 10°C = 283.15 K (convert Celsius to Kelvin)

Rearranging the ideal gas law equation and solving for n:

n = PV / RT = (101000 Pa * 0.2833 m^3/s) / (8.314 J/(mol⋅K) * 283.15 K)

n ≈ 12.102 mol (rounded to three decimal places)

Since the molar mass of air is approximately 28.97 g/mol, the mass flow rate (ṁ) can be calculated:

ṁ = n * molar mass of air = 12.102 mol * 28.97 g/mol / 1000 (convert grams to kilograms)

ṁ ≈ 0.350 kg/s (rounded to three decimal places)

Now we can calculate ΔT:

Q = ṁ * Cp * ΔT

5000 W = 0.350 kg/s * 1005 J/(kg⋅K) * ΔTSolving for ΔT:

ΔT = 5000 W / (0.350 kg/s * 1005 J/(kg⋅K))

ΔT ≈ 14.19 K (rounded to two decimal places)

Therefore, the temperature of the air as it exits the duct is approximately 10°C + 14.19 K = 24.19°C (rounded to two decimal places).

The answers to the questions are:

5. The speed of the air as it enters the duct is approximately 6.79 m/s.

The temperature of the air as it exits the duct is approximately 24.19°C.

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A student is asked to find the length of the hypotenuse of a right triangle. The length of one leg is 38 centimeters, and the length of the other leg is 21 centimeters. The student incorrectly says that the length of the hypotenuse is 7.7 centimeters

a. Find the length of the hypotenuse of the right triangle to the nearest tenth of a centimeter.

Answers

Answer:
Hypotenuse = 43.4 cm

On Thursday night Antonio watched a movie that was 1 hour and 43 minutes long. If the movie ended at the time shown on the clock below, what time did Antonio start watching the movie?

Answers

Antonio started watching the movie at 5:17pm

At what time did Antonio start the movie?

If the movie ended at 7:00pm, and we know that the movie was 1 hour and 43 minutes long, we can then subtract 1 hour and 43 minutes from 7:00pm to find out what time Antonio started the movie.

To subtract 1 hour and 43 minutes from 7:00pm:

We will first convert 7:00pm to 24-hour format which is 19:00.We can subtract 1 hour and 43 minutes which gives us:

= 19:00 - 1:43

= 17:17

As a 24-hour mode, when we convert 17:17 to 12 hours, this gives us 5:17pm.

Note: The movie ended at 7:00pm

Answers

Answer:

2(x)

Step-by-step explanation:

Answer:

(

)

(

)

−

Step-by-step explanation:

the difference between two numbers is 14. if 1/3 of the larger number is subtracted from the smaller number ,the result equals 1/10 of their sum. find both numbers

Step by step please

Answers

Answer:

Step-by-step explanation:

x-y=14

x-1/3y=1/10

-y=14-x

y=-14+x

take out the factors

x-10/30y=3/30

30x-10y=3

substitute

30x-10(-14+x)=3

30x+140-10x=3-140

20x/20=-137/20

x=-6.85

y=-14+(-6.85)

y=-20.85

The two numbers are 143/20 and 423/20.

What is a linear system of equations?

A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.

Given that, the difference between two numbers is 14.

Let the smaller number be x and the larger number be y.

Here, y-x=14 ------------(i)

If 1/3 of the larger number is subtracted from the smaller number ,the result equals 1/10.

1/3 of larger number is 1/3 y

x-y/3 =1/10 ------------(ii)

From equation (i), substitute y=14+x in equation (ii), we get

x-(14+x)/3 =1/10

10(3x-14-x)=3

30x-140-10=3

20x-140=3

20x=143

x=143/20

Substitute x=143/20 in equation (i), we get

y-143/20=14

y=14+143/20

y=(280+143)/20

y=423/20

Therefore, the two numbers are 143/20 and 423/20.

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(2y-9)(2y-9) is ths factored from of the expression?

Answers

EXPLANATION

The appropiate expression is:

$(2y-9)^2=4y^2-36y+81$

This is because it's a Square of a Trinomial.

2(12 - y) = 23- (2y - 1) is there a solution for this?

Answers

Answer:

Step-by-step explanation:

Short Answer: No

2(12 - y) = 23- (2y - 1) Remove the Brackets on both sides

24 - 2y = 23 - 2y + 1 Combine like terms on the right

24 - 2y = 24 - 2y No matter what you do, the 2ys are going to cancel. When they do, the question goes with them.

You get 24 = 24 Which is true but not relevant.

The other answer you could use is there are an infinite number of answers.

Equality will be maintained, but there is no single answer that works.

Answer:

This equation is an identity, all real numbers are solutions.

Step-by-step explanation:

Simplifying

2(12 + -1y) = 23 + -1(2y + -1)

(12 * 2 + -1y * 2) = 23 + -1(2y + -1)

(24 + -2y) = 23 + -1(2y + -1)

Reorder the terms:

24 + -2y = 23 + -1(-1 + 2y)

24 + -2y = 23 + (-1 * -1 + 2y * -1)

24 + -2y = 23 + (1 + -2y)

Combine like terms: 23 + 1 = 24

24 + -2y = 24 + -2y

Add '-24' to each side of the equation.

24 + -24 + -2y = 24 + -24 + -2y

Combine like terms: 24 + -24 = 0

0 + -2y = 24 + -24 + -2y

-2y = 24 + -24 + -2y

Combine like terms: 24 + -24 = 0

-2y = 0 + -2y

-2y = -2y

Add '2y' to each side of the equation.

-2y + 2y = -2y + 2y

Combine like terms: -2y + 2y = 0

0 = -2y + 2y

Combine like terms: -2y + 2y = 0

0 = 0

Solving

0 = 0

n =24 2n+10 ???.?.?.?.?.?.?.?.?

Answers

Answer:

n = - 10/47

Step-by-step explanation:

n= 24 * 2n +10

n= 48n + 10

n - 48n = 48n +10 - 48

-48n = 10

n= - 10/47

Answer:

2n + 10 = 58

Step-by-step explanation:

2n + 10 =

Substitute 24 for n

2(24) + 10

multiply 24 by 2

48 + 10

add them up

The final answer is 58

I hope it helps! Have a great day!

Brian flips a fair coin 3 times. What is the probability of getting 3 heads?

Answers

If Brain flips a coin 3 times the probability of getting 3 heads is 0.125.

The given statement is Brian flips a fair coin 3 times.

We need to find the probability of getting 3 heads.

What is probability?

Probability refers to possibility. A random event's occurrence is the subject of this field of mathematics. The range of the value is 0 to 1.

The possible outcomes are {HHH, THH, HTH, HHT, TTH, THT, HTT, TTT}.

Total number of outcomes = 8

The number of favourable outcomes =1

So, the probability of getting 3 heads = 1/8 = 0.125

Hence, if Brain flips a coin 3 times the probability of getting 3 heads is 0.125.

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a _____ is a named item used to hold a value. group of answer choices number statement variable constant

Answers

Answer:

Variable

Step-by-step explanation:

What is the area of this shape

Answers

Answer:

179 + 49+ 139 = 367

Step-by-step explanation:

$\sqrt[4]{81} -8(\sqrt[3]{216} )+15(\sqrt[5]{32} )+\sqrt{225}$

Answers

$\sqrt[4]{81} -8( \sqrt[3]{216}) +15( \sqrt[5]{32}) +\sqrt{225}$ when simplified gives 0

What are Indices?

Indices are small number that tells us how many times a term has been multiplied by itself. Indices are also the power or exponent which is raised to a number or a variable.

How to determine this

$\sqrt[4]{81} -8( \sqrt[3]{216}) +15( \sqrt[5]{32}) +\sqrt{225}$

When all of then are perfect square

$\sqrt[4]{81}$= 3 * 3 *3 *3

$\sqrt[3]{216}$ = 6 * 6 * 6

$\sqrt[2]{32}$ = 2 * 2 * 2 * 2 * 2

$\sqrt{225}$ = 15 * 15

Therefore,

3 - 8(6) + 15(2) + 15

3 - 48 + 30 + 15

By collecting like terms

3 + 30 + 15 - 48

48 - 48

= 0

Answers

Answer:

m<4 = 83

m<1 = 97

Step-by-step explanation:

bduruhrie

how much is 4 1/2 million yen in us dollars

Answers

Therefore, 4 1/2 million yen is equal to $40,988.24 in US dollars.

To convert 4 1/2 million yen into US dollars, we need to know the current exchange rate. As of July 29, 2021, 1 US dollar is equivalent to 109.78 Japanese yen. Therefore, 4 1/2 million yen is equal to $40,988.24 in US dollars.
Explanation:
To convert yen into US dollars, we need to know the current exchange rate. As of July 29, 2021, 1 US dollar is equivalent to 109.78 Japanese yen. Therefore, we can convert 4 1/2 million yen into US dollars by dividing 4,500,000 by 109.78, which gives us $40,988.24. $40,988.24 in US dollars.

Therefore, 4 1/2 million yen is equal to $40,988.24 in US dollars.

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bro's please help like fr I don't know WHAT IS 4 1/4 TIMES 6 AND PLAESE GIVE ME BOTH SIMP AND NOT THANK YOU <33

Answers

Answer:

Exact Form:

51/2

Decimal Form:

25.5

Mixed Number Form:

25 1/2

Step-by-step explanation:

The answer the answer would be 25.5

Simon makes 30 cakes

he gaves 1/5 of cake sali

he gaves 10% of the 30 cakes to jane

Answers

Answer: Sali gets 6 cakes. Jane gets 3 cakes. Simon in the end keeps 21 cakes.

Step-by-step explanation: 1/5 of 30 is 6 so if Sali gets 1/5 then Sali should get 6 cakes. 10% of 30 is 3 so if Jane gets 10% then she should get 3 cakes. Sali and Jane together get 9 cakes so Simon has 21 cakes left.

Pls need help ASAP been stressing need in 10 mins

Answers

Answer:

It's choice 2.

Step-by-step explanation:

The nth value is 1 more than twice the previous value

- for example, 15 = 2*7 + 1.

Finally get to swoop in and answer!

Each new value is 1 plus twice the previous value.

First value is 1. Then,

1 plus twice 1 = 3, the second value.

Second value is 3

1 plus twice 3 = 7, so

Third value is 7

and so on (this is merely a check)

If a + 1 ÷ a = 2 then find a power 4 + 1 ÷a power 4

Answers

The value of the equation a^4 + 1/a^4 is 2.

To solve the given equation a + 1 ÷ a = 2,

we need to first find the value of a. We can do so by bringing all the terms to one side of the equation and then factorizing it to get a quadratic equation.

Simplifying the equation,

we get:

a + 1/a = 2

Multiplying both sides by a, we get:

a2 + 1 = 2a

Rearranging the terms, we get:

a2 - 2a + 1 = 0

Now we can factorize this quadratic equation to find the value of a.

We get:

(a - 1)2 = 0

Therefore, a = 1.

Now that we have found the value of a, we can substitute it in the expression

a4 + 1/a4

to get the final answer.

We get:

1^4 + 1/1^4= 1 + 1 = 2

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Whats in red is a question to pls explain tysm

Answers

The slope-intercept form of a linear equation is y = mx + b

In y = 3x - 2, the slope is 3 as it replaces m and the y-intercept is -2 as it replaces b.

A slope of 3 tells us that we go 3 units up for every 1 unit to the right. A y-intercept of -2 tells us that the line crosses the y-axis at (0, -2).

The graph is attached.

How high is the hands of the superhero balloon above the ground? The hand is ____ feet above the ground.

Answers

Answer:

61 ft

Step-by-step explanation:

since it's equal

u look cute in that pfp

what is cell?with examples

Answers

Answer:

An example of a cell is where a murderer is locked up.

Step-by-step explanation:

A cell is defined as the smallest unit of an organism with a nucleus. Another example of a cell is a unit in the tissue of an animal muscle.

Answer:

A cell makes up every living. Such as plant and animals. Now plant cells and animal cells are different. Plant cells have properties that help them make glucose. Animal cells dont.

Hope this helps :)

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If 8,000 units are produced and sold, what is the total amount of variable costs related to the units produced and sold? (Do not round intermediate calculations.)6. If 12,500 units are produced and sold, what is the total amount of variable costs related to the units produced and sold? (Do not round intermediate calculations.)7. If 8,000 units are produced, what is the average fixed manufacturing cost per unit produced?8. If 12,500 units are produced, what is the average fixed manufacturing cost per unit produced? (Round your answer to 2 decimal places.)9. If 8,000 units are produced, what is the total amount of fixed manufacturing cost incurred to support this level of production?10. If 12,500 units are produced, what is the total amount of fixed manufacturing cost incurred to support this level of production?11. If 8,000 units are produced, what is the total amount of manufacturing overhead cost incurred to support this level of production? What is this total amount expressed on a per unit basis? (Round your "per unit" answer to 2 decimal places and other answers to the nearest whole dollar amount.)12. If 12,500 units are produced, what is the total amount of manufacturing overhead cost incurred to support this level of production? What is this total amount expressed on a per unit basis? (Round your "per unit" answer to 2 decimal places and other answers to the nearest whole dollar amount.)13. If the selling price is $21.40 per unit, what is the contribution margin per unit? (Do not round intermediate calculations. Round your answer to 2 decimal places.)14. If 12,000 units are produced, what are the total amounts of direct and indirect manufacturing costs incurred to support this level of production? (Do not round intermediate calculations.)15. What incremental manufacturing cost will Martinez incur if it increases production from 10,000 to 10,001 units? (Round your answer to 2 decimal places.) 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