A plane travels at a speed of 205mph in still air. Flying with a tailwind, the plane is clocked over a distance of 975 miles. Flying against a headwind, it takes 2 hours longer to complete the return trip. What was the wind velocity?

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Answers

Answer 1

Answer:

T1 = 975 / (205 + V)         flying with wind

T2 = 975 / (205 - V)         flying against wind

T2 = T1 + 2

975 * {1 / (205 - V) - 1 / (205 + V)] = 2

(205 + V + V -205) / (205^2 - V^2) = 2 / 975

V^2 + 975 V - 42025 = 0          rearranging

V = 41.3

Values of flying are  246.3 and 163.7

Check:  

T1 = 975 / 246.3 = 3.96 hrs

T2 = 975 / 163.7 = 5.96 hrs


Related Questions

I NEED HELP WITH A PROBLEM ​

Answers

Answer:

64

Step-by-step explanation:

Volume of one sugar cube = 1x1x1= 1cm³

Volume of dish = 4x4x4 = 64cm³

Divide volume of dish by volume of one cube to find out how many can fit:

64/1 = 64

A graph of f(x)=10x^2-11x-6 is shown on the coordinate grid.

What are the zeros of f(x)?

-2/5 and 3/2
-6
-9 and 4
11/20 and -9

Answers

Answer:

-2/5 and 3/2

Step-by-step explanation:

f(x)=10x²-11x-6

0=10x²-11x-6

(5x+2)(2x-3)=0

5x+2=0, 2x-3=0

5x=-2, 2x=3

x=-2/5, x=3/2

What is the value of the expression below when a = 5?

​ 7a - 4

Answers

Answer:

31

Step-by-step explanation:

the answer above is correct 31

For an F distribution, find the following:

(a) f 0.25,825
(b) f 0.10,12,15
(c) f 0.01,12,6

Answers

Answer:

1.39 ; 2.02 ; 2.90

Step-by-step explanation:

From the F - distribution calculator

F0.25, 8, 2 ;

u = 8 ; v = 25 ; cumulative probability = 1 - 0.25 = 0.75

F value = 1.39

F0.10,12,15 :

u = 12 ; v = 15 ; cumulative probability = 1 - 0.10 = 0.90

F value = 2.02

F0.01,12,6

u = 12 ; v = 6 ; cumulative probability = 1 - 0.01 = 0.90

F value = 2.90

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6. Isha has a previous balance of $493 on a credit card with a 16.3% APR compounded monthly. If she made a payment of $50 this month, what is the new balance on her credit
card? (2 points)
O $443.00
O $449.70
O $523.36
O $573.36

Answers

C the correct answer is C

I have a bucket which I use to fill a
paddling pool
I use 19 full buckets of cold water and 8
buckets of hot water, so the pool is full.
The capacity of the pool is 288 litres.
If I poured the water from one bucket into
some glasses, I could fill 32 glasses,
What is the capacity of each glass
in millilitres?​

Answers

Answer:

35

Step-by-step explanation:

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At a camp with 300 campers and 15 counselors, what is the camper-counselor ratio?​

Answers

Answer:

300:15 = 100:5 = 20:1

Answer = 20:1

A cylinder has a height of 15 millimeters. Its volume is 10,597.5 cubic millimeters. What is the
radius of the cylinder?

Answers

Answer: 15

Step-by-step explanation: r=V

πh=10597.5

π·15≈14.9962

808 - 589 what is the answer I need help


(I'm just trying to see if anybody here smart)​

Answers

219hhhhhhhhhhhhjjsisusywbs

☁️ Answer ☁️

Find out who owns any 808-589 phone number. Get name, address, relatives, court records for the registered owner. (Nah jk)

The answer is:

219

Explanation: I used my eyes, fingers, and a calculator.

Hope it helps.

Have a nice day noona/hyung

Help help help help help help

Answers

Step-by-step explanation:

Area of triangle = 1/2×base×height

= 1/2×32×18

= 288in²

Question 8 of 10 This circle is centered at the origin, and the length of its radius is 3. What is the circle's equation?​

Answers

Answer: is x^2 + y^2 = 100

What’s another word for average

Answers

Answer:

Mean,median, mode, rule, par, normal etc.

Step-by-step explanation:

Generating Equivalent Expressions

Simplify the expression

by applying the distributive property & combining like terms.

Show work.

6(x + 4y) + 3x - 20y

Answers

Answer:

9x +4y

Step-by-step explanation:

step 1 : parentheses are priorities

so multiple the 6 to the parentheses

6x + 24y +3x -20y

combine the x's together

6x +3x + 24y -20y

9x + 4 y

Answer:

[tex]9x + 4y[/tex]

Step-by-step explanation:

1) Expand by distributing term.

[tex]6x + 24y + 3x - 20y[/tex]

2) Collect like terms.

[tex](6x + 3x) + (24y - 20y)[/tex]

3) Simplify.

[tex]9x + 4y[/tex]

Hence, the answer is 9x + 4y.

i’ll give you brainliest if you help me please

Answers

Answer:

b) 40

Step-by-step explanation:

x + x + 100 = 180

2x + 100 = 180

2x = 80

x = 40

Show all work to factor x4 − 10x2 + 9 completely.

Answers

Answer:

(x+3)(x-3)(x+1)(x-1)

Proof:https://www.symbolab.com/solver/step-by-step/x%5E%7B4%7D-10x%5E%7B2%7D%2B9

Which rational number equals 0 point 3 with bar over 3? Question 2 options: 1) 1 over 5 2) 1 over 3 3) 3 over 10 4) 3 over 5

Answers

9514 1404 393

Answer:

 2) 1/3

Step-by-step explanation:

The repeating decimal can be converted to a fraction by multiplying it by 10^n and subtracting the original value. n = number of repeating digits. This process cancels all of the repeating digits, so you can find the equivalent fraction.

  [tex]x=0.\overline{3}\\\\10x -x=3.\overline{3}-0.\overline{3}=3\\\\x=\dfrac{3}{9}\\\\0.\overline{3}=\dfrac{1}{3}[/tex]

_____

Your calculator can help you answer this:

  1/5 = 0.2

  1/3 = 0.333.... (repeating) . . . . the number you're looking for

  3/10 = 0.3

  3/5 = 0.6

please help me on this its reading​

Answers

The answer is C to be informed about a new topic.

Answer:

C.

Step-by-step explanation:

C. be informed about a new topic

How many people out of 100,000 will survive until age 90?

Answers

Answer:

81.26

Step-by-step explanation:

This amount of people survived until 90 according to an article:

20,898 + 15,034 + 26,183 + 21,196 + 15,318 + 26,479 + 15,864 + 9,952 + 21,357 = 172,281

"172,281" as a percentage is:

81.26

The percentage people out of 100,000 will survive until age 90 would be 81.26.

How to calculate unit price of something?

Unit means 'single entity', the fundamental constructing block. Usually, it is 1 in mathematics and science.

Thus, unit price of something is price of 1 thing.

So, suppose we're taking about price of mangoes, then unit price will denote the price of 1 mango.

The data is given in the image attached below;

We need to find How many people out of 100,000 will survive until age 90.

A percentage is a minimum number or ratio that is measured by a fraction of 100.

The amount of people survived until 90 according to an article:

20,898 + 15,034 + 26,183 + 21,196 + 15,318 + 26,479 + 15,864 + 9,952 + 21,357

= 172,281

Therefore, "172,281" as a percentage is 81.26.

The percentage people out of 100,000 will survive until age 90 would be 81.26.

Learn more about unit price here:

https://brainly.com/question/945712

#SPJ2

Hank and lynn are paying off car loans.
·Hank paid $2,000 up front when he bought his car,and he pays 200$ each month.
·Lynn did not pay any money up front when she bought her car, and she pays 275$ each month.
Is the relationship between the number of months an the total amount paid proportional for both hanks and lynns loans?
A graph that shows the number of months and the total amount paid by hank would
A: Not be a straight line
B: be a straight line that does not pass through the origin
C: Be a straight line that passes through that origin
Next
A graph that shows the number of months and the total amount paid by lynn would.
A: Not be a straight line
B: be a straight line that does not pass through the origin
C: Be a straight line that passes through that origin
Next

the relationship between the number of months and the total amount paid is proportional for
A: lynns loans only
B: neither loans
C: both loans
D: Hanks loan only

Answers

Answer:

1.B 2.C 3.C

Step-by-step explanation:

Answer:

BCC

Step-by-step explanation:

Find the number line with the correct letter placement for each value.
A=73,B=−67,C=127,D=−1.35


Choose one correct answer.''

Answers

Answer:

Step-by-step explanation:

a

Huh! Its me DaBaby and i need your help with this question. Yeah Yeah!

Answers

Answer:

the third one is the correct answer

[tex]b { }^{ - 16} [/tex]

Step-by-step explanation:

hope the helps

Answer:

b to power of -16

Step-by-step explanation:

George pass on the way to school distance 200 meters in 165 seconds. What is
his average walking speed in m/s?

Answers

Answer:

1.21212121212 or average of basically 1 meter per second

Step-by-step explanation:

Formula: distance over time

Take distance and  divide that by time you would get the answer.

Sally drives from Turlock to Los Angeles at an
average speed of 60 miles per hour. Turlock is
approximately 300 miles from Los Angeles. Which
of the following graphs could give Sally’s
approximate distance d, in miles from Los Angeles,
in terms of time t, in hours? A, B, C, D, or E?

Answers

Answer:

A

Step-by-step explanation:

quien es el padre de la administración?

Answers

Answer:

Frederick Winslow Taylor

Step-by-step explanation:

The Frill family and the Smith family go to the movies.
The Frill family buys 6 adult tickets and 2 child tickets for $124.
The Smith family buys 3 adult tickets and 5 child tickets for $100.

Find the prize of an adult ticket and the prize of a child ticket.

Answers

Step-by-step explanation:

Let a be the price of 1 adult ticket.

Let c be the price of 1 child ticket.

given,

[tex]6a + 2c = 124[/tex]

as equation 1,

and

[tex]3a + 5c = 100[/tex]

as equation 2.

Now we will solve for a and c using elimination method of simultaneous equations.

Now we multiply equation 2 by 2 to eliminate a and solve for c.

[tex]3a \times 2 + 5c \times 2 = 100 \times 2 \\ 6a + 10c = 200[/tex]

This new equation will be equation 3.

Now we will use equation 1 - equation 3 to eliminate a and solve for c.

[tex](6a - 6a) + (2c - 10c) = 124 - 200 \\ 0 + ( - 8c) = - 76 \\ - 8c = - 76 \\ c = - 76 \div - 8 \\ = 9.5[/tex]

Now substitute c into equation 2.

[tex]3a + 5(9.5) = 100 \\ 3a + 47.5 = 100 \\ 3a = 100 - 47.5 \\ 3a = 52.5 \\ a = 52.5 \div 3 \\ = 17.5[/tex]

Therefore one adult ticket will cost $17.50 and one child ticket will cost $9.50.

find the surface area to the nearest tenth.

Answers

Answer:

A

Step-by-step explanation:

Find the area of the figure.

Answers

Answer:

91

Step-by-step explanation:

Answer:

91

Step-by-step explanation:

(11 + 15) × 7 ÷ 2 = 26 × 7 ÷ 2 = 91

Find AC
A
-y + 23
B
c
бу +2
3
20
23
26

Answers

Answer:

yfvhbjnk.bdfxgvhjnmbgytfrgvnhjkm

Step-by-step explanation:

Please I really need to know how to do this ASAP

Answers

Answer:

the blue block 'side' is 10

the pink block ' bottom' is 9

the cream 'side' block is 13 (length)

the green back triangle next to the blue side is also 10

and the other side of the green back triangle is 8

The probability that it will rain on any given day is 15% or 0.15. Find the probability it will rain at least once in the next three days.

Answers

Answer:

1/2 * 3/5 = 3/15 = 1/5

Step-by-step explanation:

Other Questions
by Maria Baraza1 You've probably seen it before. Someone is giving a speech, and another person stands near the speaker, mouthing the speaker's words for people who can read lips. In a graceful dance, his or her arms and hands visually repeat the speaker's words in signs. If the speech is broadcast on television, the signer is sometimes shown in a window at the corner of the screen. Audience members who are hard of hearing or deaf can understand the speech through the signs.2 Deaf or hard-of-hearing people could also read the text of the speech, but it might not be available in writing. Besides, signing offers many advantages that reading cannot. Seeing the speaker, even if his or her words cannot be heard, can be important. The audience can observe the speaker's facial expressions and body language, which can change the meaning of the spoken words. The signer will often attempt to convey the speaker's tone or precise meaning with facial expressions that accompany the signs. 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