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
Helen [10]
3 years ago
8

How far from an airport can an airplane fly and return in 8 hours, if it's outgoing speed is 160 km per hour and it's returning

speed is 240 km per hour
Mathematics
2 answers:
PilotLPTM [1.2K]3 years ago
4 0
<span>speed = distance/time
total time is 8 hours

outgoing speed is 160 km per hour, 
so time = d/160

</span><span>returning speed is 240 km per hour,
so time = d/240

 d/160 + d/240 = 8

3d/480 + 2d/480 = 8
5d/480 = 8
5d =480 (8)
5d = 3840
d=3840/5
d=768

answer: so the distance is 768 km</span>
iragen [17]3 years ago
4 0
T = 8 h
v1 = 160 km/h
v2 = 240 km/h

mmc 160 e 240 = 80
s = 80*8
s = 640 km


You might be interested in
Please help +25 points
mestny [16]
The answer is D.
Hope I helped
8 0
2 years ago
CAN SOMEONE PLEASE ANSWER 11,13,14,15 ?
blondinia [14]

Answer:

<h3><em>I gotchu</em></h3><h3><em /></h3><h3><em>These are all fractions btw. </em></h3>

<em />

11.   -9/32

12. -3/5

13. 4/7

14. 3/8

15. 3/4

Step-by-step explanation: When you do these problems, it's fairly simple. just make sure you plug the numbers in the correct spots. having a calculator help a lot too!

4 0
3 years ago
If AABC = ADEC,<br> ZB = 44º and ZE = 4x<br> A<br> B<br> С<br> E<br> x = [?]
Ivan

Answer:

The angle at B is the same as the angle at E so equate them to each other to find x

2x+4=40°

2x=40-4

2x=36

x=36/2=18

Step-by-step explanation:

Hope this is helpful! stay safe and God Bless:)))

3 0
3 years ago
The product of b and 2 is greater than or equal to 28
dimaraw [331]

Answer:

b \geqslant 14

Step-by-step explanation:

Product of b and 2 = 2b

According to the given description:

2b \geqslant 28 \\  \\ b \geqslant  \frac{28}{2}  \\  \\ b \geqslant 14

4 0
3 years ago
At a certain coffee shop, all the customers buy a cup of coffee; some also buy a doughnut. The shop owner believes that the numb
Zinaida [17]

Answer:

a) 0.2514

b) No

c) 0.2611

Step-by-step explanation:

For coffee cups sold daily

Mean(μ) = 320 cups

Standard deviation (σ) = 20 cups

For doughnut sold daily

Mean(μ) = 150 doughnut

Standard deviation (σ) = 12 doughnut

Let X be the random variable representing the number of cups.

Let y be the random variable representing the number of doughnuts.

a) The shop is opened everyday except Sunday's. This means that the shop is opened 6 times in a week.

The probability that he will sell more 2000 cups of coffee in a week = Pr(x>2000)

Using normal distribution

Z = (x - μ)/σ

Z = (2000 - 6(320))/6(20)

Z = (2000 - 1920) / 120

Z = 80/120

Z = 0.67

From the normal distribution table, 0.67 = 0.2486

Φ(z) = 0.2486

Recall that if Z is positive,

Pr(x>a) = 0.5 - Φ(z)

Pr(x>2000) = 0.5 - 0.2486

= 0.2514

b) On each cup of coffee, he makes a profit of 50 cents and makes a profit of 40 cents on each doughnut. We have 0.5x + 0.4y

Z = (x - μ) / σ

Z = (300 - (0.5*320 + 0.4*150)) / √0.5^2*20^2 + 0.4^2*12^2

Z = (300 - (160+60)) / √100+23.04

Z = (300 -220)/√123.04

Z = 80/11.09

= 7.02

Since 300 is more than 7 standard deviation from the mean and the value of z cannot be found in the normal distribution table, then he has NO reasonable chance to earn a profit more than 300.

c) The probability that on any given day he will sell a doughnut to more than half of his coffee customers = Pr(y - 0.5x > 0)

From normal distribution,

Z = (x - μ) / σ

Z = (0 - (150 - 0.5*320)) / √12^2 + 0.5^2*20^2

Z = (0 - (150 - 160)) / √144 + 100

Z = (0 -(-10))/√244

Z = 10/15.62

= 0.64

From the normal distribution table, 0.64 = 0.2389

Φ(z) = 0.2389

Recall that if Z is positive,

Pr(x>a) = 0.5 - Φ(z)

Pr(y - 0.5x >0) = 0.5 - 0.2389

= 0.2611

6 0
3 years ago
Other questions:
  • Consider the accompanying data on flexural strength (MPa) for concrete beams of a certain type.
    12·1 answer
  • PLEASE HELP!! A pyramid with a rectangular base is stacked on top of rectangular prism. The height of the composite figure is 10
    8·2 answers
  • Which expressions are equivalent to (5⋅x)⋅3 ? Drag and drop the equivalent expressions into the box
    6·2 answers
  • a department store buys 300 shirts at a cost of 1800 and sells them for $10 each. find the percent markup rounded to the nearest
    5·2 answers
  • An oak tree in Jake's yard is 13 times taller than a model tree that he's making for a performance set.Together,the oak tree and
    12·2 answers
  • The sum of four consecutive intergers is 8 What are the intergers
    10·2 answers
  • Which equation represents exponential decay?
    15·1 answer
  • Carissa also has a sink that is shaped like a half sphere. The sink has a volume of 4000/ 3 * π in 3. One day, her sink clogged.
    12·1 answer
  • A scale drawing of a rectangle is made by using a scale factor of StartFraction 5 over 8 EndFraction. The original and the scale
    14·2 answers
  • Find the distance between A(5, -2) B(3, -6)
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!