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
Jobisdone [24]
3 years ago
13

Togo flew his ultralight plane to a Landing field 30 miles away. With the wind, the flight took three and a half hours.Returning

against the wind, the flight took 5 1/2 hours. Find the rate of the plane in still air in the rate of the wind.
Mathematics
2 answers:
Phoenix [80]3 years ago
7 0

Answer:

yes

Step-by-step explanation:

kherson [118]3 years ago
3 0

Answer:rate of the plane in still air is 7 mph

the rate of wind is 1.55 mph

Step-by-step explanation:

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

Let y represent the rate of wind.

Togo flew his ultralight plane to a Landing field 30 miles away. With the wind, the flight took three and a half hours. This means that total speed = (x + y) mph

Distance = speed × time

Therefore

30 = 3.5(x + y)

30 = 3.5x + 3.5y - - - - - - - - - 1

Returning against the wind, the flight took 5 1/2 hours. This means that the total speed would be

(x - y) mph

Therefore,

30 = 5.5(x - y)

30 = 5.5x - 5.5y - - - - - - - - - -2

Multiplying equation 1 by 5.5 and equation 2 by 3.5, it becomes

165 = 19.25x + 19.25y

105 = 19.25x - 19.25y

Adding both equations, it becomes

270 = 38.5x

x = 270/38.5

x = 7 miles per hour

30 = 5.5 × 7 - 5.5y

30 = 38.5 - 5.5y

5.5y = 38.5 - 30 = 8.5

y = 8.5/5.5 = 1.55 miles per hour

You might be interested in
What is 20/10 as a whole number
iren2701 [21]
20/10 is same as 20:10 so the whole number is 2
4 0
2 years ago
Read 2 more answers
What is 1 4/5 as a decimal
Mariulka [41]
Divide 4 by 5. You will get 0.8 . So, your answer will be 1.8 because you already have a whole number, you will add the decimal to the whole number and you would get 1.8 .
6 0
3 years ago
Read 2 more answers
Given a∥b , and c is not parallel to a or b, which statements must be true?
Lana71 [14]

because A & B are parallel

3=7 and 1=8 are true

the first 2 are the only ones that are true

7 0
3 years ago
Read 2 more answers
Find 20% of number 85
tensa zangetsu [6.8K]

Answer: 17

Step-by-step explanation:

20. percent *85 =

(20.:100)*85 =

(20.*85):100 =

1700:100 = 17

5 0
3 years ago
Read 2 more answers
What is the solution set of the system of inequalities 5x<8+4y and 2y≤6?
Nitella [24]

Answer:

<h2>See the explanation and the image.</h2>

Step-by-step explanation:

The inequality 2y \leq 6 means y \leq 3.

y = 0, satisfies the above inequality, so the arrows will be towards the x axis.

Now, we need to draw 5x < 8 + 4y.

First, lets draw the equation of 5x = 8 + 4y.

y = 1 gives x = 2.4 & y = 0 gives x = 1.6.

Hence, the above equation passes through (2.4, 1) and (1.6, 0).

The point (0, 0) satisfies the inequality 5x < 8 + 4y. Hence, the arrows will be towards the origin.

The solution will be the area of APQ except any point on PQ, as PQ is nothing but the line 5x = 8 + 4y.

8 0
3 years ago
Other questions:
  • Which unit rate corresponds to the proportional relationship shown in the graph?
    15·2 answers
  • 3. PENTAGON The Pentagon is a five-sided
    13·1 answer
  • What is the mean median mode and range of the numbers 31 28 30 31 30 ...?
    7·1 answer
  • 21) A frozen yogurt store sells a small bowl of frozen yogurt for $2.50 plus $0.75 per topping. They sell a large bowl of frozen
    6·1 answer
  • Whats the answer 6+1
    14·2 answers
  • What is the circumference of a circle with a diameter of 2 feet? Use 3.14 for<br> T.
    10·1 answer
  • Use the box-and-whisker plot to answer the following question.
    15·1 answer
  • PLEASE HELP ME FAST
    9·1 answer
  • 2
    6·1 answer
  • A coach spends a total of $435 to buy a uniform and a soccer ball for each of the 15 players on the team. The cost of each socce
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!