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
bonufazy [111]
3 years ago
10

Flying against the wind, an airplane travels 3350 kilometers in 5 hours. Flying with the wind the same plane travels 7920 in 8 h

ours. What is the rate of the plane in still air and what is the rate of the wind?
Mathematics
1 answer:
Ivahew [28]3 years ago
3 0

Answer:the rate of the plane in still air is 830 km/h

the rate of the wind is 160 km/h

Step-by-step explanation:

Let x represent the speed of the plane in still air.

Let y represent the speed of the wind.

Flying against the wind, an airplane travels 3350 kilometers in 5 hours. It means that the total speed of the airplane would be x - y

Distance = speed × time

Therefore

3350 = 5(x - y)

3350 = 5x - 5y - - - - - - - - - - - - 1

Flying with the wind the same plane travels 7920 in 8 hours. It means that the total speed of the airplane would be x + y

Therefore

3350 = 8(x + y)

7920 = 8x + 8y - - - - - - - - - - - - 2

Multiplying equation 1 by 8 and equation 2 by 5, it becomes

26800 = 40x - 40y

39600 = 40x + 40y

Adding both equations, it becomes

66400 = 80x

x = 66400/80

x = 830

Substituting x = 830 into equation 1, it becomes

3350 = 5 × 830 - 5y

3350 = 4150 - 5y

5y = 4150 - 3350 = 800

y = 800/5 = 160

You might be interested in
CD player: $142.00<br>Sales tax: 5.5%​
zubka84 [21]

The total amount paid by a customer who purchased a CD player at $142.00 and sales tax of 5.5% is $149.81

<h3>Sales tax</h3>

  • Cost of CD player = $142.00
  • Sales tax = 5.5%

Amount of sales tax = 5.5% of $142.00

= 5.5/100 × 142

= 0.055 × 142

= $7.81

Total amount paid by customers = Cost of CD player + Amount of sales tax

= $142.00 + $7.81

= $149.81

Learn more about sales tax:

brainly.com/question/1700984

#SPJ1

6 0
2 years ago
Eight rooks are placed randomly on a chess board. What is the probability that none of the rooks can capture any of the other ro
Brums [2.3K]

Answer:

9.11*10^-4 %

Step-by-step explanation:

To find the probability, you simply need to find the possible outcomes that allows no rooks to be in danger, and the possible amount of ways to place the rooks.

For the first outcome, you start by putting 1 rook in the first columns, you have 8 possible rows to do this. The next rook in the next column will only have 7 possible rows, as you have to exclude the one where the previous rook is located. The next rook, 6 possibilities, the next 5, and so on. So we conclude that the total amount of ways so that none of the rooks can capture any of the other rooks is 8*7*6*5*4*3*2*1 = 8! = 40320

In order to find the total amount of ways to place the rooks, you can just use a combinatoric:

\left[\begin{array}{ccc}64\\8\end{array}\right]= \frac{64!}{8!(64-8)!} = 4.43*10^9

Then:

P = \frac{40320}{4.43*10^9}*100\%=9.11*10^{-4}\%

5 0
4 years ago
Please help me quickly. - 3/2 (- 5/4) A. -10 B. 15 C. 10 D -15
liberstina [14]

Answer:

18/5

Step-by-step explanation:

-3/2 * -5/4

Multiply the numerators

-3*-5 = 15

Multiply the denominators

2*4 =8

The fraction is 18/5

3 0
3 years ago
What is 1.56 rounded to the nearest tenth
jeka57 [31]

Answer:

1.6

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
What percent of 35 is 28
pantera1 [17]

35/100 = 28/x

35x = 28*100

35x = 2800

x = 80

6 0
3 years ago
Read 2 more answers
Other questions:
  • How many more people attended the magics game than attended the pacers game
    6·2 answers
  • What percent of a data set is represented in Quartile 1?
    14·1 answer
  • What is 1000 in exponential form
    8·2 answers
  • 2. 2x - y = 6,<br> - x + y = -1
    14·2 answers
  • A student’s first step to solving the equation 5(x – 2) = 10 was to simplify it to 5x – 2 = 10. Did the student make a mistake?
    7·2 answers
  • a circle with radious of 1cm sits inside a 11cm times 12 cm rectangle what is the area of the shaded region
    7·2 answers
  • Guyyyys I have a really hard question. How many sides does a 3 sided triangle have?
    14·2 answers
  • (9x²+24x-8)-(5x²+3x+10)
    8·1 answer
  • Solve for v<br> –12u − –11u − 4u + 7u − –5u = 14
    11·1 answer
  • 2sin² theta = sin theta for - 270° ≤ 0 ≤180°
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!