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
torisob [31]
3 years ago
11

An airplane flew 4 hours with a 25 mph tail wind. The return trip against the same wind took 5 hours. Find the speed of the airp

lane in still air. This similar to the current problem as you have to consider the 25 mph tailwind and headwind. Plane on outbound trip of 4 hours with 25 mph tailwind and return trip of 5 hours with 25 mph headwind Let r = the rate or speed of the airplane in still air. Let d = the distance
a. Write a system of equations for the airplane. One equation will be for the outbound trip with tailwind of 25 mph. The second equation will be for the return trip with headwind of 25 mph.
b. Solve the system of equations for the speed of the airplane in still air.
Mathematics
1 answer:
balu736 [363]3 years ago
6 0

Answer:

r  = 225 Mil/h     speed of the airplane in still air

Step-by-step explanation:

Then:

d  is traveled distance   and r  the speed of the airplane in still air

so the first equation is for a 4 hours trip

as  d = v*t

d  =  4 *  ( r  + 25)    (1)          the speed of tail wind  (25 mil/h)

Second equation the trip back in 5 hours

d  =  5  * ( r  - 25 )    (2)

So we got a system of two equation and two unknown variables  d  and

r

We solve it by subtitution

from equation (1)     d  =  4r  + 100

plugging in equation 2

4r  + 100  = 5r -  125    ⇒   -r  =  -225     ⇒    r  = 225 Mil/h

And distance is :

d  =  4*r  +  100         ⇒ d  =  4 * ( 225)  +  100

d  =  900 +   100

d  = 1000 miles

You might be interested in
PLEASE ANSWER AS SOON AS POSSIBLE!
Tcecarenko [31]
The y- intercept has to be a point in the line where x is 0. Which means that in this case it would be -4.
To find the slope, use the formula: rise over run —> y2 - y1/x2 - x1
Choose any two coordinates and plug them in. Then simplify. Let me know if you have any questions by commenting:)
Hope I helped:)
6 0
3 years ago
A little help please?
Tasya [4]
3x-10+2x=115
5x-10=115
5x=125
x=25

m<b=3(25)-10=65
m<C=2×25=50
7 0
3 years ago
If the ratio of purple marbles to orange marbles is 3 to 8, how many orange marbles will I have if I have 48 purple marbles?
sveticcg [70]

Answer:

You will have 128 orange marbles

Step-by-step explanation:

Set this up as an equation

Variable x = number of orange marbles

3/8 = 48/x

Cross multiply

3 × x = 8 × 48

3x = 384

Divide both sides by 3 to isolate the variable

3x ÷ 3 = 384 ÷ 3

1x = 128

x = 128

128 orange marbles

Check work:

Substitute the variable x for the answer

3/8 = 48/128

Cross multiply

3 × 128 = 8 × 48

384 = 384

If the numbers equal, the answer is correct

6 0
3 years ago
Read 2 more answers
an item is regularly priced at $45. it is on sale for 40% off the regular price. how much (in dollars) is discounted from the re
Paul [167]

Answer:

The discounted price would then be 18 dollars.

Step-by-step explanation:

Start by taking the original price which was 45 and multiply that by .40 (the discount) you should  get a total of 18.

3 0
3 years ago
What is the percentage decrease from 40 to 28? :)
mafiozo [28]

Answer:

70%

Step-by-step explanation:

Look it up

5 0
3 years ago
Other questions:
  • What is 2+ (-3) equal to -1?
    14·1 answer
  • What is the measure of a Pentagon
    13·2 answers
  • In segment AC, the midpoint is B. if segments AC = 5x-9 and AB= 2x what is the measure of AC? Can you show their work on paper o
    13·1 answer
  • I have my maths exam in 20 minutes any tips on how to calm my nerves<br> Its a 2 hour exam :/
    6·1 answer
  • Hi<br> By the way I did not mean to put axes<br><br><br> HELP NOW THIS IS DUE AT MIDNIGHT!!!
    5·1 answer
  • PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU B
    15·1 answer
  • Can Someone PLEASE HELP WITH THIS IXL? PLEASE HELP!! I DONT GET IT. PLEASEE HELP!! THIS IS A 6th GRADE IXL!! PLEASEEE HELP
    14·1 answer
  • True of false<br> A triangle cannot have more than one right angel
    13·2 answers
  • What number is 5he same ratio to 64 as 5 is to 8
    13·1 answer
  • Determine whether the ordered pairs (1,4) and 6,
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!