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
bija089 [108]
2 years ago
15

Two planes left simultaneously from the same airport and headed in the same direction towards another airport 3600 km away. The

speed of one of the planes was 200 km/hour slower than the speed of the other plane, and so it arrived at its destination 1.5 hours after the faster plane. Find the speeds of both planes.
Mathematics
1 answer:
ExtremeBDS [4]2 years ago
6 0

Answer:

  • 800 kph
  • 600 kph

Step-by-step explanation:

<u>Equation</u>

Let s represent the speed of the faster plane. Then its travel time is ...

  time = distance/speed = 3600/s

travel time for the slower plane is ...

  time = distance/speed = 3600/(s -200)

The difference in these times is 1.5 hours, so we have ...

  3600/(s -200) -3600/s = 1.5

<u>Solution</u>

Multiplying by (2/3)s(s -200), we get ...

  2400(s) -2400(s -200) = s(s -200)

  s^2 -200s -480000 = 0 . . . . . . . . . . rewrite in standard form

  (s -800)(s +600) = 0 . . . . . . . . . . . . . factor

The positive value of s that makes a factor zero is s = 800.

<u>Conclusion</u>

The speed of the faster plane was 800 km/h; of the slower plane, 600 km/h.

_____

<em>Check</em>

The travel time for the faster plane was 3600/800 = 4.5 hours. For the slower plane, 3600/600 = 6 hours, a difference of 1.5 hours.

You might be interested in
A company surveyed 2,600 North American airline passengers and reported that approximately 75% said that they carry a smartphone
geniusboy [140]

The probability that exactly six out of ten carry a smartphone when travelling is; <u><em>P(6) = 0.146</em></u>

The missing part of the question is;

The probability distribution of x is the binomial distribution with n = 10 and p = 0.75.

Calculate P(6)

  • This is a binomial <em>probability distribution</em> problem that has a general formula as; P(x) = ⁿCₓ × pˣ × q⁽ⁿ ⁻ ˣ⁾

Where;

p is probability of success

q is probability of failure

n is number of experiments

In this question;

n = 10

p = 75% = 0.75

q = 1 - p

q = 1 - 0.75

q = 0.25

Since six passengers are randomly selected, then applying the formula earlier quoted, we have;

P(6) = ¹⁰C₆ × 0.75⁶ × 0.25⁽¹⁰ ⁻ ⁶⁾

P(6) = 0.146

Read more at; brainly.com/question/24239758

4 0
2 years ago
Hey lynn I've been having problems with this question, you think you could help me?
Kazeer [188]

Answer:

give my about ten mins i got to finish this final exam for math seg 1

Step-by-step explanation:

3 0
3 years ago
PLEASE HELP IM TIMED!! WILL GIVE BRAINLEST!!
Goshia [24]

Answer:

The answer is C

Step-by-step explanation:

An isosceles triangle has two angles that measure the same, so...

30 + 30 = 60

180 - 60 = 120

No

____________

45 + 45 = 90

180 - 90 = 90

No

____________

60 + 60 = 120

180 - 120 = 60

Yes

____________

90 + 90 = 180

No

5 0
3 years ago
A sweater was on sale at 40% off the regular price. Ella saved 20$ by buying the sweater on sale. What was the regular price of
barxatty [35]

Answer:

the answer is $50 for the full price of the sweater

Step-by-step explanation:

if you know $20 is 40% what is 20% it is $10 and then multiple it by 5 because  20 times 5 is 100 and you get 50

8 0
3 years ago
A square patio has an area of 135 square feet. How long is each side of the patio to the nearest tenth?
Kryger [21]
11.6 because the square root of 135 is 11.61885.... and when you check it is approximately 135 because 11.6 *11.6 = 134.56, which can be rounded to 135
8 0
3 years ago
Other questions:
  • 4 cubes high 4 cubes long and 2 cubes wide how many cubes you need to make a prism
    11·1 answer
  • A building engineer analyzes a concrete column with a circular cross section. The circumference of the column is 18π meters. Wha
    7·1 answer
  • Look at the parallelogram below. Ð1 and Ð3 are each 35°.
    11·2 answers
  • A basketball player, who hits 70% of her free throws, shoots ten free throws in a tournament. assume that whether or not she hit
    12·1 answer
  • .
    5·2 answers
  • If B is between A and C, and AB=3x+1 and BC=2x-7, and AC=19, then find the value of x.
    10·2 answers
  • Find the area of the triangle <br><br> A. 26 yd2<br><br> B. 12yd2<br><br> C. 24yd2<br><br> D. 36yd2
    8·1 answer
  • The average amount of money spent by a person who attended a local sporting event in 2000 was $8.00, of which 75% was the ticket
    11·2 answers
  • Find the value of y picture *****
    7·1 answer
  • Solve (x^3-4x)(2x^2-3x)​
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!