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
eimsori [14]
2 years ago
6

An airplane flying with the wind can cover a certain distance in 2 hours. The return trip against the wind takes 2.5 hours. Find

the average airspeed and wind speed, if the one-way distance is 600 miles.
Mathematics
1 answer:
Anna [14]2 years ago
4 0

Answer:

Wind speed = 30 mph

Plane speed = 270 mph

Step-by-step explanation:

Given that :

Distance = 600 miles

Let speed of airplane = a ; speed of wind = b

Net speed ; with wind = a + b

Net speed against wind = a - b

Time taken with wind = 2 hours

Time taken against wind = 2.5 hours

Recall :

Speed = distance / time ; distance = speed * time

(a + b) * 2 = (a - b) * 2.5

2a + 2b = 600

a + b = 300 - - - (1)

a = 300 - b

2.5a - 2.5b = 600

a - b = 240 - - - (2)

300 - b - b = 240

300 - 2b = 240

-2b = - 60

b = 30

a = 300 - 30

a = 270

Wind speed = 30 mph

Plane speed = 270 mph

You might be interested in
Define the axis of symmetry, vertex, focus and directrix for
Papessa [141]

Answer:

  see attached

Step-by-step explanation:

The equation is in the form ...

  4p(y -k) = (x -h)^2 . . . . . (h, k) is the vertex; p is the focus-vertex distance

Comparing this to your equation, we see ...

  p = 4, (h, k) = (3, 4)

p > 0, so the parabola opens upward. The vertex is on the axis of symmetry. That axis has the equation x=x-coordinate of vertex. This tells you ...

  vertex: (3, 4)

  axis of symmetry: x = 3

  focus: (3, 8) . . . . . 4 units up from vertex

  directrix: y = 0 . . . horizontal line 4 units down from vertex

8 0
2 years ago
Please help me with this
Dvinal [7]

Answer:

  • a. E = {1, 2, 3, 4, 5, 6, 7, 8}
  • b. A ∩ B = {2, 3}
  • c. A ∪ B = {1, 2, 3, 4, 5, 7, 8}

Step-by-step explanation:

Locate the designated space on the diagram and list all the numbers in it.

a. E = {1, 2, 3, 4, 5, 6, 7, 8} . . . . all numbers in the rectangle

__

b. A ∩ B = {2, 3} . . . . where the circles overlap

__

c. A ∪ B = {1, 2, 3, 4, 5, 7, 8} . . . . only 6 is outside the circles

8 0
3 years ago
Can you please show the working?
creativ13 [48]

The Price of Car A rounded to the Nearest £100 is £12400

The Price of Car B rounded to the Nearest £100 is £16800

The Price of Car C rounded to the Nearest £100 is £14600

Difference between the Rounded Price and Original Price of Car A :

⇒ (£12400 - £12380) = £20

Difference between the Rounded Price and Original Price of Car B :

⇒ (£16800 - £16760) = £40

Difference between the Rounded Price and Original Price of Car C :

⇒ (£14600 - £14580) = £20

From the above, We can Notice that :

The Price of Car B changes by the greatest amount.

4 0
3 years ago
One container holds 1 7/8 quarts of water and A second container holds 5 3/4 quarts of water how many more quarts of water does
BartSMP [9]
5  \frac{3}{4} -1 \frac{7}{8} =  \frac{23}{4} - \frac{15}{8} = \frac{46}{8} - \frac{15}{8} = \frac{46-15}{8} = \frac{31}{8} = \boxed {3 \frac{7}{8} }
4 0
3 years ago
What is the circumference of a circle whose radius is 13?
Inessa05 [86]

Answer:

Circumference, C = 81.68 units

Step-by-step explanation:

Given that,

The radius of the circle, r = 13 units

We need to find the circumference of the circle. The circumference of a circle is the sum of the outer boundary. For a circle, it is given by :

C=2\ \pi r

C=2\ \pi \times 13

C = 81.68 units

So, the circumference of the circle is 81.68 units. Hence, this is the required solution.

7 0
3 years ago
Read 2 more answers
Other questions:
  • Jeez math help please!!!!!
    11·1 answer
  • Can anyone help me to answer this....
    7·1 answer
  • Write this number in standard form 4000 + 10 + 3 + .02
    8·2 answers
  • PLEASE HELP 20 POINTS AND WILL MAKE BRAINLIEST!!!!
    9·1 answer
  • Help me please and thank you
    11·1 answer
  • The corresponding sides of abc and def have equal lengths. the area of abc is 4 square units, and the longest side of def is 5 u
    13·2 answers
  • What is x? 1/2:10 x:1
    15·2 answers
  • In a bag with 8 red, 2 white, 4 yellow, and 7 green marbles, what is the ratio of GREEN to WHITE marbles? Write your answer in c
    13·1 answer
  • Find the simple interest paid to the nearest cent for each loan amount, interest rate, and time.
    7·1 answer
  • Simplify a-c when a=5 c= -1​
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!