An airplane travels 4020 kilometers against the wind in 6 hours and 4800 kilometers with the wind in the same amount of time. What is the rate of the plane in still air and what is the rate of the wind?

Answers

Answer 1

Answer:

Rate of plane 735 km/hr

Rate of wind 65 km/hr

Step-by-step explanation:

Calculation to determine the rate of the plane in still air

Let Va represent the velocity of the airplane

Let Vw represent the velocity of the wind

When flying with the wind:

(Va+Vw)*(6 hours) = 4800

6Va + 6Vw = 4800

6Vw = 4800 - 6Va

Vw=4800/6-Va

Vw = 800 - Va

When flying against the wind:

(Va-Vw)*(6 hours) = 4020 km

6Va - 6Vw = 4020

Substitute 800-Va for Vw and solve for Va:

6Va - 6(800-Va) = 4020

6Va -4800 + 6Va = 4020

12Va = 8820

Va=8820/12

Va = 735 km/hr

Therefore the rate of the plane in still air is 735 km/hr

Calculation to determine the rate of the wind

Rate of wind:

Vw = 800 - Va

Vw= 800 -735

Vw= 65 km/hr

Therefore the rate of the wind is 65 km/hr


Related Questions

convert 360minutes to hour​

Answers

360 minutes is 6 hours

Answer:

6H

that was soo hard to find

HELP PLS
1) what value is located 2,3
2) what is the dimension of this matrix?
3) do you remember see matrices before today?

Answers

Question 1

Answer: 7

Explanation: The notation "2,3" tells us to go to row 2, column 3. The value 7 is at this location.

====================================================

Question 2

Answer:  3 x 4

Explanation: The dimensions refer to the number of rows and number of columns. In this case, we have 3 rows and 4 columns. The number of rows is always listed first.

====================================================

Question 3

This is something you'll have to answer yourself because it will be based off your personal experiences. There is no right answer, so feel free to answer however you wish.

Nia needs 15 pieces of string each ½ of a inch long. She cut a 6-inch piece of string into pieces that are each ½ of an inch long. How many more pieces of string does she need?

Answers

2 times plus 1 would be the answer I think

Help me please!! I don’t understand

Answers

Answer:

Step-by-step explanation:

Solve for x 18 Х 16 24 0 15 O 12 0 24 o 17​

Answers

Answer:

Look it up

Step-by-step explanation:

what is the domain of f? khan academy

Answers

Answer:

x cannot = -2

Step-by-step explanation:

if x = -2 then the denominator is 0 and a fraction with 0 as a denominator is undefined.

Answer:

A

Step-by-step explanation:

f(x) = [tex]\frac{x-3}{x+2}[/tex]

The denominator cannot be zero as this would make f(x) undefined.

Equating the denominator to zero and solving gives the value that x cannot be.

x + 2 = 0 ⇒ x = - 2 ← excluded value in the domain

The domain of f(x) is all real values of x such that x ≠ - 2

Please show step by step need it now

Answers

Answer:

x = 6+3y

y = y (any number)

the rest should follow the same steps

Step-by-step explanation:

2x-6y=12 -> divide both sides by 2 (GCF)

x-3y = 6 -> solve for x, because it has 1 as its coefficient, or the lowest coefficent

x = 6+3y

-5x+15y=-30 -> divide both sides by 5

-1x+3y=-6 -> plug in x from previous equation

-(6+3y) + 3y = -6

-6-3y+3y = -6

y = y

pls help me answer this 12 to 15 questions​

Answers

Answer:

Step-by-step explanation:

See attachment

12.  -23C

13.  28.9% Loss

14.  Diagram in the attachment.  The sides can be calculated with the Pythagorean Theorem.  Side = 3.61 cm

15.  Use trig relationships.  x = 5, y = 8.66

which table shows a proportional relationship. i meed help​

Answers

A. Each is increasing by 20.

The first three terms of an arithmetic sequence are as follows.
28, 23, 18
Find the next two terms of this sequence.

Answers

Answer:

13, 8, 3

Step-by-step explanation:

Subtract 5 from the following terms.

Mark me as the brainliest please, Thank you!

-2x + 3y=-22
-6x + 3y = -18
What do you have to multiply the first equation by
to have the x's be opposite and the same?

Answers

Answer:

To be able to find what a variable equals, it has to be the only variable in the equation. Having an equation where a variable is opposite of another equation allows you to find the value of the other variable.

Step-by-step explanation:

Please help me I need help

Answers

ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff

b

Eight times a number increased by 4 times the number is less than 36. What is the number? . logo thon 13 then find the​

Answers

Answer:

36

Step-by-step explanation:

First, you subtract 4 by 36 which is 32. Then, divide 32 by 8 which equals 4 therefore the answer is 36.

4/9 7/21 change to percent

Answers

Answer:

Hi there, your answers here are 44% and 33%.

To convert 4/9 to a percent, first we can write it as a decimal - 0.44444444444. To get this decimal, we divide 4 by 9. Then, we multiply this decimal by 100 to get 44.4444444444, or roughly 44%.

To convert 7/21 to a percent, first we can write it as a decimal - 0.33333333333. To get this decimal, we divide 7 by 21. Then, we multiply this decimal by 100 to get 33.3333333333, or roughly 33%.

which equations match the graph




Answers

Answer:

A.) f(x)=1/3x + 1 and g(x)=1/3(6x)+1

Step-by-step explanation:

because firs you see the graph of intercepts or vertex.

see y-intercepts : our graph crosses though 1

the first choice crosses at 1 both f(x) & g(x)

the second choice crosses at 1 both f(x) & g(x)

the third choice crosses at -8 both f(x) & g(x) so this can't be answer.

the forth choice crosses at 1 both f(x) & g(x)

see x-intercept : f(x) crosses -3 and g(x) crosses at approximately -1/2

the first choice crosses at -3 at f(x) & - 1/2g(x)

the second choice crosses at -1/2 at f(x) & - 1/6g(x)

the third choice crosses at 8/3 at f(x) & 8/15g(x)

the forth choice crosses at -3 at f(x) & - 3/4(x)

the graph seems crosses at 1/2 at g(x).

so the answer if the first choice.

A bag of fruit contains 4 apples and 2 banans 3 oranges and 5 peaches. Darlene will randomly select two piecies of fruit one at a time from the bag and not put them back what is the probabilty that the first piece of fruit Darlene secelts will be on apple and the second piece of fruit will be orange

Answers

Answer:

6/91

Step-by-step explanation:

Total number of fruits = 4 + 2 + 3 + 5 = 14

Apple: 4/14

One of the fruits have been taken from the total. 14 thus becomes 13.

There are 3 oranges

Orange: 3/13

Combine probability: 4/14 * 3/13 = 12/182 = 6/91

Two is a common factor in both 12 and 182

Is - 4 the absolute value of 3 – 7? Explain.

Answers

Answer:

See below:

Step-by-step explanation:

Hello! I hope you are having a nice day. My name is Galaxy and I will be helping you today!!

We can solve this problem in a single step, we just need to know more about absolute value.

Absolute value is the distance a number is away from 0. For example, if we need to find the absolute value of -7, it would be 7 as the distance can not be negative.

Since we know that, we can solve the problem using algebra and our new logic we got.

[tex]|3-7|=-4?\\4\neq -4[/tex]

We can see that -4 is not the absolute value, 4 is as the distance is 4 and cannot be negative.

Cheers!

what is 13 divied it by 2

Answers

Answer:

6.5

Step-by-step explanation:

6.5 is 13 divided by 2. You can check your work by adding 6.5 to 6.5 or multiplying 6.5 by 2

Easy question
A father is 35 years more than his son’s age. After 5 years the father’s age will be twice of his son’s age.Find the present age of both.​

Answers

The son is 30 years and the father is 65 years.

Let x represent the present age of the son and y represent the present age of the father.

Hence:

y = x + 35

-x + y = 35    (1)

In 5 years time:

y + 5 = 2(x + 5)

y + 5 = 2x + 10

-2x + y = 5  (2)

Solving equations 1 and 2 simultaneously gives:

x = 30, y = 65

The son is 30 years and the father is 65 years.

Find out more on equation at: https://brainly.com/question/2972832

Son   =  30 years

Father  =  65 years

Present Details:

Son: "s" years                    (lets consider son's present age to be s)

Father: "s + 35"                  (father is 35 years older than the son)

After 5 years:

Son: "s + 5"                [son will be 5 years older]

Father: 2(s + 5)     [twice the son's age]  and  (s + 35) + 5 = (s + 40) years

Solve father's age simultaneously:

2(s + 5) = (s + 40)2s + 10 = s + 402s - s = 40 - 10s = 30

⊕ Thus, the Son is 30 years old.

Father's age:

s + 35 ⇒ 30 + 35 ⇒ 65 years

Working together, Shawn and Hector can install a tile floor in 6 hours. It would take Shawn 9 hours to do the job alone. What is the value of r, Hectora's rate of work in part per hour?

Answers

The Hectora's rate of work in part per hour is 18 hours

Given the following parameters:

The time it takes Shawn and Hector to install a tile floor is 6 hours

Time taken by Shawn to install a tile is 9 hoursTime taken by Hectora to install a tile is r hours

Taking the sum of the reciprocals of the time taken;

1/6 = 1/9 + 1/r

1/r = 1/6 - 1/9

1/r = 9-6/54

1/r = 3/54

Cross multiply

3r = 54

r = 54/3

r = 18 hours

Hence the Hectora's rate of work in part per hour is 18 hours

Learn more about reciprocals here: https://brainly.com/question/2534506

Answer:

Step-by-step explanation:

1/9

Add.
(4+4n)+(7+2a)

Thanks!

Answers

Answer:

[tex](4+4n)+(7+2a) = 11+4n+2a[/tex]

Step-by-step explanation:

Pleaseee this is a grade and i need to get my 67 to a 70 or above

Answers

Answer: a. [tex]f(x)=3^{x}[/tex]

Step-by-step explanation:

You can plug in the x and y values to get [tex]f(x)=3^{x}[/tex]

Java 1
Question 16
Examine the following code:

int count = 0;
while ( count <= 6 )
{
System.out.print( count + " " );
count = count + 3;
}
System.out.println( );

What does this code print on the monitor?

a. 1 2 3 4 5 6
b. 0 1 2 3 4 5 6
c. 0 3 6
d. 0 1 2 3 4 5
e. 0 3

Answers

Answer:

the answer is c.036

Step-by-step explanation:

it can't be a, b or d because count is being increased by 3 and not 1. And it can't be e because the loop is <= and not < so when the count is 6 it is still in the loop. So it will show the 6 as well

1) -64÷16+[12x{6÷(16÷10-2)}] ​

Answers

Answer:

= -30[tex]x^{6}[/tex]-4

i hope that helps and is right

If that is a multiplication sign then it is -184

if that is an x then it would be -4 -180x

4x^2 = 16

The solution to the equation is: ____?

Answers

[tex] {4x}^{2} = 16 \\ = > {x}^{2} = \frac{16}{4} \\ = > {x}^{2} = 4 \\ = > x = \sqrt{4} \\ = > x = ± 2 \: \: [/tex]

Answer:

The solution to the equation is: ±2.

Hope you could get an idea from here.

Doubt clarification - use comment section.

Oil is pumped from a well at a rate of 500 gallons per hour. How many gallons of oil are pumped from the well in 3 hours and 15 mins

Answers

1625 is the answer for this

Petra runs 2 miles in 22 minutes. How long would it take her to run 12 miles?

Answers

Answer:

132 minutes

Step-by-step explanation:

First find how long it would take her to run 1 mile.

We can do this by dividing 22 by 2.

22 / 2 = 11

It takes her 11 minutes to run 1 mile.

Then multiply that by 12 to find out how long it would take her to run 12 miles

12 * 11 = 132

It would take her 132 minutes to run 12 miles

Answer:

132 minutes to run 12 miles

Select the graph of the solution set that would represent the following expression. x+2<2(x-1)

Answers

if any doubt leave a comment

What fraction goes in the box to make it correct? 5/12×□=1

Answers

[tex]\huge\textbf{Hey there!}[/tex]

[tex]\large\boxed{\mathbf {Your\ equation} :\mathsf{\dfrac{5}{12}\times\boxed{} = 1}}[/tex]

[tex]\large\textbf{We don't know the unknown number yet so we will}\\\large\textbf{label it as \boxed{f}}[/tex]

[tex]\large\boxed{\mathsf{\dfrac{5}{12}\times f = 1}}[/tex]

[tex]\large\boxed{\rightarrow\mathsf{\dfrac{5}{12}(f)= 1}}[/tex]

[tex]\large\textbf{MULTIPLY by }\mathbf{\dfrac{12}{5}}\large\textbf{ to BOTH SIDES}[/tex]

[tex]\large\boxed{\mathsf{\dfrac{12}{5}\times\dfrac{5}{12}f = \dfrac{12}{5}\times1}}[/tex]

[tex]\large\textbf{CANCEL out: }\mathbf{\dfrac{12}{5}\times\dfrac{5}{12}}\large\textbf{ because it gives you 1.}[/tex]

[tex]\large\textbf{KEEP: }\mathbf{\dfrac{12}{5}\times1}\large\textbf{ because it helps solve for the f-value.}[/tex]

[tex]\large\boxed{\mathbf{NEW \ EQUATION: }\mathsf{f = 1\times \dfrac{12}{5}}}[/tex]

[tex]\large\textbf{SIMPLIFY IT!}[/tex]

[tex]\huge\boxed{\textbf{Therefore, your answer: \boxed{\mathsf{f = \dfrac{12}{5}}}}}\huge\checkmark[/tex]

[tex]\huge\textbf{Good luck on your assignment \&}\\\huge\textbf{enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

please help asap for brainlist

Answers

Answer:

Substitute the given n-values into each function, f(n), to determine which generates the same values as the given a(n)'s.

Step-by-step explanation:

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