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
Reika [66]
2 years ago
14

Dave and Sandy Hartranft are frequent flyers with a particular airline. They often fly from City A to City​ B, a distance of 828

miles. On one particular​ trip, they fly into the​ wind, and the flight takes 2 hours. The return​ trip, with the wind behind​ them, only takes 1 and
1/2 hours. If the wind speed is the same on each​ trip, find the speed of the wind and find the speed of the plane in still air.
Mathematics
1 answer:
Nataly [62]2 years ago
8 0

Step-by-step explanation:

Let the speed of the plane in still air = x

and speed of wind = y

Now from city A to B

dIstance = speed  × time

732732 = (x - y) × 2 (1)

From city B to A

Distance = speed × time

732732 = (x + y) × 1.5 (2)

From (1) and (2)

2x - 2y = 1.5x + 1.5y

0.5x = 3.5y

x = 7y

If we plug in (1)

732732 = (7y - y) × 2

732732/12 = 12y/12

y = 61061

Since x = 7y

= 427427 miles/hr

Speed of still air plane is 427427 miles/hr

Speed of wind = 61061miles/hr

hope that help you mark me brinilylist

You might be interested in
Which statement is true about this argument? premises: if an angle measure is greater than 90°, then the angle is an obtuse angl
vazorg [7]
Answer: option d. the argument is valid by the law of detachment.

The law of detachment consists in make a conlcusion in this way:

Premise 1) a => b
Premise 2) a is true

Conclusion: Then, b is true

Note: the order of the premises 1 and 2 does not modifiy the argument.

IN this case:

Premise 1) angle > 90 => obtuse

Premise 2) angle = 102 [i.e. it is true that angle > 90]]

Conclusion: it is true that angle is obtuse

3 0
3 years ago
Read 2 more answers
Find the sum of the geometric series 40 + 40(1.005) + 40(1.005)^2 + ⋯ + 40(1.005)^11.
KiRa [710]

Answer:

The sum is 493.4

Step-by-step explanation:

In order to find the value of the sum, you have to apply the geometric series formula, which is:

\sum_{i=1}^{n} ar^{i-1} = \frac{a(1-r^{n})}{1-r}

where i is the starting point, n is the number of terms, a is the first term and r is the common ratio.

The finite geometric series converges to the expression in the right side of the equation. Therefore, you don't need to calculate all the terms. You can use the expression directly.

In this case:

a=40

b= 1.005

n=12 (because the first term is 40 and the last term is 40(1.005)^11 )

Replacing in the formula:

\frac{a(1-r^{n})}{1-r} = \frac{40(1-1.005^{12})}{1-1.005}

Solving it:

The sum is 493.4

4 0
3 years ago
a man is standing on top of a cliff, 80 high, the angle of depression to a boat is 60° . calculate the distance of the boat from
Maurinko [17]

Answer:

20 :3

Step-by-step explanation:

Da distance is 20

80 - 60 = 20 BOOM PEEPS

3 0
3 years ago
Where is the balance point located?<br> A<br> B<br> C<br> D<br> E
Mandarinka [93]

Answer:

C i hope it helps I might be wrong do

3 0
2 years ago
Read 2 more answers
Which equation represents a line that has a slope of -1/2 and passes through point (4, –5)?
Wewaii [24]
Y=-1/2x-3

You can rewrite the equation “y=mx+b” and fill in what you know. So your equation would look like y=-1/2x+b when filling in what you know. Now you can take the (x,y) coordinates that you were given and plug them into the equation and solve for b. So now it would be -5=-1/2(4)+b
8 0
3 years ago
Read 2 more answers
Other questions:
  • 4th grade math help &amp; explain please
    10·1 answer
  • What is 3 multiplied by 5/8 as a mixed number
    5·2 answers
  • I need help... how do you solve this? I'm so sorry i just dont understand it
    15·1 answer
  • Savannah practice ballet in 1.67 hours on Monday on Wednesday she practice for 3.25 how much longer did savannah practice on Wed
    10·1 answer
  • A random variable r is normally distributed with a mean of 7 and a standard deviation of 1.5. Find the value of w so that P (8.8
    15·1 answer
  • 54÷6+0.42×(9×8÷2+82)
    9·2 answers
  • A car traveled 180 miles at a constant rate. Write an equation that would
    8·1 answer
  • A group spends $277.50 to rent a total of 15 tubes. How many of each type of tube does the group rent?
    12·1 answer
  • A jar contains some bacteria. Every day the number of bacteria
    13·1 answer
  • Heeeeeellllllpppppp please
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!