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
BabaBlast [244]
3 years ago
8

Matt and Anna Killian are frequent fliers on​ Fast-n-Go Airlines. They often fly between two cities that are a distance of 1680

miles apart. On one particular​ trip, they flew into the wind and the trip took 4 hours. The return trip with the wind behind​ them, only took about 3.5 hours. Find the speed of the wind and the speed of the plane in still air.
Mathematics
1 answer:
vladimir1956 [14]3 years ago
4 0

Answer:Wind speed = 30 miles/hour

Plane speed = 450 miles/hour

Step-by-step explanation:

First we have to know the formula for finding speed, which is distance divided by time

Speed = distance/time

Then we label the speed of the plane to be x

And the spend of the wind to be y

From the question, we are told that when the plane flies into the wind, it takes 4 hours to travel a distance of 1680 so we have the time and distance

And since the plane is flying against the wind speed

We can form an equation

x - y = 1680/4

x - y = 420 (1)

Then when the plane is coming back, the wind is going in the same direction with the plane and it take 3.5 hours to cover the same 1680 miles distance, so we form another equation

x + y = 1680/3.5

x + y = 480 (2)

So we solve (1) and (2) simultaneously

x - y = 420 (1)

x + y = 480 (2)

Using elimination method, we eliminate y by adding both equations

2x = 900

x = 450 miles/hour

So therefore, plane speed is 450 miles/hour

Putting the answer in either (1) or (2) to get y

I choose to put it in (2)

x + y = 480

450 + y = 480

y = 480 - 450

y = 30 miles/hour

So therefore, wind speed = 30miles/hour

You might be interested in
Inverse function details
Lerok [7]

Step-by-step explanation:

First, replace f(x) with y ⇒ f(x)=6x-19 ⇒ y=6x-19

Then y with x and x with y  ⇒ y=6x-19 ⇒ x=6y-19

Solve the equation from for y:

           x=6y-19

           x+19=6y dividing with 6

           1/6 x +(19/6) = y

Replace y with f−1(x) ⇒ f−1(x)= 1/6 x +(19/6)

hope this helps!

           

5 0
3 years ago
Find slope of a straight line if both intercept are equal​
Juli2301 [7.4K]

Answer:

-1

Step-by-step explanation:

Let the points be <u>(0, a)</u> and <u>(a, 0)</u> (As it mentions the intercepts are equal)

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

Applying slope formula :

⇒ m = 0 - a / a - 0

⇒ m = -a/a

⇒ <u>m = -1</u>

6 0
2 years ago
WILL GIVE BRAINLIEST!!
dexar [7]

Peter reflecting trapezoid ABCD across the y-axis would not change the degree measurement of angle A

The degree measurement of angle A is 115 degrees

<h3>How to determine the degree measurement of angle A?</h3>

From the question, we have:

A = 115 degrees

B = 65 degrees

The transformation is a reflection across the y-axis

Reflection is a rigid transformation; and it does not change the angle measure or side lengths.

After the transformation; we have:

A = 115 degrees

B = 65 degrees

Hence, the degree measurement of angle A is 115 degrees

Read more about transformation at:

brainly.com/question/4289712

8 0
2 years ago
How many different​ three-digit numbers can be formed using the digits 1 comma 2 comma 9 comma 6 comma 4 comma 3 comma and 8 wit
lozanna [386]

Answer:

129 468  

Step-by-step explanation:

I'm not sure if you're supposed to reuse the same numbers just in a different Three digit number. Or if you're supposed to use the number one time and one time only. But if not here's there's some numbers that you could use

He basically all You have to do Is take the numbers and turning them into three digit numbers Without repetition.

Hope this helps you!

Also it's saying that 664 is not allowed Because it they are reusing the six When there's no Extra six to use. So remind you not to use the same number twice!

3 0
3 years ago
Which statements regarding the diagram Triangle EBC are true? Select three options
Fynjy0 [20]

Answer:

The answer would be:

B. ∠DEC is an exterior angle.

Step-by-step explanation: Your welcome

6 0
3 years ago
Read 2 more answers
Other questions:
  • (5s-6)(3s+2) please just give me the answer I have to turn it in today
    8·1 answer
  • Algebra 2 questions
    11·2 answers
  • Can someone help me
    8·1 answer
  • 5/m-9 = 8/m+5<br><br> Solve the following proportions, while using cross multiplication.
    15·1 answer
  • What is the simplest form for 9/36
    6·2 answers
  • if 8 men can build a house in 90 days, in how many days can 20 men working under the same rate build the house?​
    10·1 answer
  • pls pls pls pls help :( im really bad at math and im trying so hard not to fail... i will mark brainliest!
    13·1 answer
  • A circular tablecloth has a diameter of 3 feet. Which measurement is closest to the area of the tablecloth in feet?
    10·2 answers
  • A pickup truck travels 45 Mi on 2 and 1/3 gallons and goes19 miles on one gallon of gas. At that rate how far will it travel on
    13·1 answer
  • Write the slope-intercept form of the equation that passes through the point (-1, 2) and is parallel to the line y = 3/2x + 6
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!