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suter [353]
3 years ago
6

A jet travels from chicago to kansas city at a speed of 440 knots. If it takes a plane 3 hr longer to fly from kansas city to ch

icago at a speed of 110 knots, what is the distance between the two cities?
Mathematics
1 answer:
steposvetlana [31]3 years ago
7 0

d = distance between the two cities

v₁ = average speed while going from chicago to kansas city = 440 knots

t₁ = time taken to travel distance going from chicago to kansas city

time taken to travel distance going from chicago to kansas city is given as

t₁ = d/v₁

t₁ = d/440                                        eq-1


v₂ = average speed while going from kansas city to chicago = 110 knots

t₂ = time taken to travel distance going from kansas city to chicago

time taken to travel distance going from kansas city to chicago is given as

t₂ = d/v₂

t₂ = d/110                                                     eq-2


Given that :

t₂ = t₁ + 3

using eq-1  and eq-2

(d/110) = (d/440) + 3

d = 440

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3 years ago
Here are the first five terms of a sequence.
Snezhnost [94]

Step-by-step explanation:

3 to 8= 5

8 to 17= 9

17 to 30= 13

30 to 47= 17

47 to 68= 21

68 to 93= 25

93 to 122= 29

122 to 155= 33

155 to 192= 37

difference is 4

solve by

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5 0
3 years ago
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Answer:

Step-by-step explanation:

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8 0
3 years ago
You have the numbers 1-24 written on slips of paper. If you choose one slip at random, what is the probability that you will not
ra1l [238]

The probability of selecting a number not divisible by 3 is: 2/3

Step-by-step explanation:

There are two methods to solve the question.

  1. We can find the probability of numbers not divisible by 3
  2. We can find the probability of numbers divisible by 3 and then find the complement of it

We will use the second method:

Given:

There are 24 slips

S = {1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24}

n(S) = 24

Let A be the event that the slip number is divisible by 3

Then

A = {3,6,9,12,15,18,21,24}

n(A) = 8

The probability of number divisible by 3 is:

P(A) = \frac{n(A)}{n(S)}\\=\frac{8}{24}\\=\frac{1}{3}

The sum of the probability of an event's occurrence and non-occurrence is 1. So the probability of numbers divisible by 3 will be subtracted from 1 to find the probability of selecting a number not divisible by 3.

The probability of selecting a number not divisible by 3 will be:

=1-\frac{1}{3}\\=\frac{3-1}{3}\\=\frac{2}{3}

The probability of selecting a number not divisible by 3 is: 2/3

Keywords: Probability

Learn more about probability at:

  • brainly.com/question/9045597
  • brainly.com/question/9103248

#LearnwithBrainly

8 0
3 years ago
BEEEP Hhh, Math sucks ;-;
Alex

Answer:

A is the answer.

Step-by-step explanation:

C=2πr

/2π /2π

C/2π=r

8 0
3 years ago
Read 2 more answers
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