1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Nikitich [7]
2 years ago
5

An airplane travels 5040 kilometers against the wind in 9 hours and 6660 kilometers with the wind in the same amount of time. Wh

at is the rate of the plane in still air and what is the rate of the wind?
Mathematics
1 answer:
dmitriy555 [2]2 years ago
6 0

Answer:

Wyzant

Question

Flying against the wind, an airplane travels 4200 km in 7 hours. Flying with the wind, the same plane travels 4000 km in 4 hours. What is the rate of the plane in still air and what is the rate of the wind?

Answer · 1 vote

Let Va = the velocity of the airplane Let Vw = the velocity of the wind When flying with the wind: (Va+Vw)*(4 hours) = 4000 4Va + 4Vw = 4000 4Vw = 4000 - 4Va Vw = 1000 - Va When flying against the wind: (Va-Vw)*(7 hours) = 4200 km7Va - 7Vw = 4200 Substitute 1000-Va for Vw and solve for Va: 7Va - 7(1000-Va) = 4200 7Va -7000 + 7Va = 4200 14Va = 11200 Va = 800 km/hr Rate of wind: Vw = 1000 - Va = 1000 - 800 = 200 km/hour

More

Socratic

Question

Flying against the wind, an airplane travels 4500 in 5 hours. Flying with the wind, the same plane travels 4640 in 4 hours. What is the rate of the plane in still air and what is the rate of the wind?

Answer · 0 votes

The speed of plane in still air is 1030 km/hr and wind

Step-by-step explanation:

You might be interested in
Kyle is 12 years older than Susan. Last year, he was twice as old as Susan.
iogann1982 [59]

Answer:

13 and 25

Step-by-step explanation:

um so dont hold me to this, but if he's twelve years older than susan she would've been twelve and he would've been 24 last year.

3 0
3 years ago
A piston rises to 5 cm and falls to 3 cm in such a way that it returns to the maximal height three times every two seconds. If w
sveticcg [70]

Answer:

(1 cm)cos3πt

Step-by-step explanation:

Since the piston starts at its maximal height and returns to its maximal height three times evert 2 seconds, it is modelled by a cosine functions, since a cosine function starts at its maximum point. So, its height h = Acos2πft

where A = amplitude of the oscillation and f = frequency of oscillation and t = time of propagation of oscillation.

Now, since the piston rises in such a way that it returns to the maximal height three times every two seconds, its frequency, f = number of oscillations/time taken for oscillation where number of oscillations = 3 and time taken for oscillations  = 2 s

So, f = 3/2 s =1.5 /s = 1.5 Hz

Also, since the the piston moves between 3 cm and 5 cm, the distance between its maximum displacement(crest) of 5 cm and minimum displacement(trough) of 3 cm is H = 5 cm - 3 cm = 2 cm. So its amplitude, A = H/2 = 2 cm/2 = 1 cm

h = Acos2πft

= (1 cm)cos2π(1.5Hz)t

= (1 cm)cos3πt

7 0
3 years ago
Mr. Peter's has 80 sheets of colored paper. Seven of his students need the paper for a project. How many sheets does each studen
Julli [10]

Answer:

Each student gets 11 pieces.

Step-by-step explanation:

80 ÷ 7 = 11.42857

80 divided by 7 comes out to a decimal therefore, you will have a remainder. 7 × 11 = 77

The answer would be 11 remainder 3.

8 0
3 years ago
What is the value of x.
Phantasy [73]
8^2-6^2=28
the square root of 28 is 5.29
5.29×2=10.58
x=10.58
7 0
3 years ago
How do you solve this problem
Savatey [412]
100+25x = y

Sorry gotta get 20 characters ignore this
6 0
3 years ago
Other questions:
  • Suppose y varies as x, and y=16 wen x=8. find y when x=16
    11·1 answer
  • What is the area of point ?
    15·1 answer
  • A swimming pool had 2.5 million liters of water in it. Some water evaporated, and then the pool only had 2 million liters of wat
    14·1 answer
  • Multiply. <br><br> 4 × 0.002 =
    12·1 answer
  • PLZ HELP! MATH
    10·2 answers
  • 30 POINTS for the fastest answer! What is the slope of the line that passes through the points (2,9)
    6·1 answer
  • The machine bottled 8,000 bottles in 4 hours. if the rate of the machine were doubled, how long would it take the machine to bot
    14·1 answer
  • The quotient of 3 times a number "x" and 2 less 3 times the square of "x"​
    10·1 answer
  • Keiko bought 2 CDs that were each the same price. Including sales tax,she paid a total of $34.20. Of that total, $1.80 was tax.
    12·1 answer
  • 4(x + 1) + 8 = 24<br> how do i solve this
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!