George the Pigeon travels the same distance of 72 miles
in 4 hours against the wind as he does traveling 3 hours
with the wind in the local skies. What is the speed of
George the Pigeon in still air and the speed of the wind?

Answers

Answer 1

Answer:

The speed of George the Pigeon in still air = 21 miles/hr

The speed of air = 3 miles/hr

Step-by-step explanation:

Let the speed of George the Pigeon in still air = [tex]u[/tex] miles/hr

Let the speed of air = [tex]v[/tex] miles/hr

Distance traveled = 72 miles

Relative speed against the wind = [tex](u-v)[/tex] miles/hr

Time taken against the wind = 4 hours

Relative speed with the wind = [tex](u+v)[/tex] miles/hr

Time taken against the wind = 3 hours

Using the formula:

[tex]Speed = \dfrac{Distance}{Time}[/tex]

[tex]u-v=\dfrac{72}{4}\\\Rightarrow u-v=18 ..... (1)[/tex]

[tex]u+v=\dfrac{72}{3}\\\Rightarrow u+v=24 ..... (2)[/tex]

Adding (1) and (2):

[tex]2u=42\\\Rightarrow u = 21\ miles/hr[/tex]

By equation (1):

[tex]v = 21-18\\\Rightarrow v = 3\ miles/hr[/tex]

Therefore, the answer is:

The speed of George the Pigeon in still air = 21 miles/hr

The speed of air = 3 miles/hr


Related Questions

Find the length of JL
15
None of the other answers are correct
12
3

Answers

Answer:

D: 12

Step-by-step explanation:

The entire segment KI is composed of the segments KJ and JI. So:

[tex]KI=KJ+JI[/tex]

We know that KI is 15.

KJ is (2x-15) and JI is (2x-6). Substitute:

[tex]15=(2x-15)+(2x-6)[/tex]

Solve for x. Combine like terms:

[tex]15=4x-21[/tex]

Add 21 to both sides:

[tex]4x=36[/tex]

Hence, the value of x is:

[tex]x=9[/tex]

We know that JI is 2x-6.

We will substitute 9 for x to find JI. So:

[tex]JI=2(9)-6=18-6=12[/tex]

Hence, our answer is D.

Your beginning checkbook balance on Sunday morning is $417.83. On Monday you buy groceries for $189. 12 and purchase a meal on Thursday for
$27.98. You also make a deposit on Friday of $120.00. What should your balance be on Saturday morning?

Answers

Answer:

320.82

Step-by-step explanation:

An airplane takes three hours to travel a distance of 1320 miles with the wind the return trip takes four hours against the wind find the speed of the plane in still air and the speed of the wind

Answers

Answer:

106.6 mi/h,    26.6 mi/h

Step-by-step explanation:

PRIMERO SE CALCULA LE VELOCIDAD CON EL VIENTO QUIETO

v = [tex]\frac{320 mi}{3 h}[/tex] = 106.6 mi/h

DESPUÉS SE ENCUENTRA LA VELOCIDAD DEL AVIÓN EN CONTRA DEL

VIENTO

v = [tex]\frac{320 mi}{4 h}[/tex] = 80 mi/h

FINALMENTE SE ENCUENTRA LA VELOCIDAD DEL VIENTO

v = 106.6 mi/g - 80 mi/h = 26.6 mi/h

A child has a box full of colored building blocks. He will choose one block without looking. The odds against choosing a blue block are 5/12. What is the probability of choosing a blue block?

Answers

if the odds AGAINST choosing a blue block are 5/12, that means that the odds FOR choosing a blue block would are 7/12 because 5+7=12

what is 485,783 rounded to its greatest place?​

Answers

Answer:

486

Step-by-step explanation:

if you mean 485.782 with a decimal then it would be 486

Which graph represents a linear function

Answers

Answer:

A

Step-by-step explanation:

Answer:

The first Picture

Step-by-step explanation:

It is the only one with a staight line.

Can i have brainliest

Which conclusion is best supported by this graph? Most people paid about $300 for a new home in 2013. Most people can never afford to buy a home. Most people need to take out a mortgage to purchase a home. Most people pay back a loan for a home in a short period of time.

Answers

Answer:

C) Most people need to take out a mortgage to purchase a home.

Step-by-step explanation:

A snail can crawl at a rate of 6 cm in 0.75 minutes. Which represents the constant rate of change of the snail's crawl?

Answers

Answer:

0.00133m/s

Step-by-step explanation:

Given

distance crawled by the snail = 6cm = 0.06m

Time taken = 0.75minutes = 0.75*60

Time taken = 45secs

Required

constant rate of change of the snail's crawl (speed)

Speed of the snail = distance/time;

Speed of the snail = 0.06/45

Speed of the snail = 0.00133m/s

Hence the constant rate of change of the snail's crawl in m/s is 0.00133m/s

Which inequality is shown in the graph below?

Answers

Answer:

B. y<2x-2

Step-by-step explanation:

Hope that helps!

Find the value of ƒ(5) if​

Answers

Answer:

A) 19

Step-by-step explanation:

3(5) + 4 = 19

Hope this helps you

Answer:

19

         / 2(5)-7 = 10-7 = 3   .    3 <= 1                     false

F(5)

         \ 3(5)+4 = 15+4 + 19 .    19 > 0                      true

ILL MARK U BRAINLEST OKAY!

Answers

Answer:

march

Step-by-step explanation:

the negatives are all lower then 0, hope this helps

Answer:

It's march.

Step-by-step explanation:

fhdryyyyyyyyyyyyetttttttttt

Answers

Answer:

fjkn QLJKFnclqnmjfn,msfjv

Step-by-step explanation:

Answer:

jsoanjcisnzocisjsncjhsjakznc aknxosjz

Step-by-step explanation:

hajxkfj snksksnc

IS MY ANSWER CORRECT ?? ASA IS THE WRONG ANSWER BTW

Answers

Answer:

yes

Step-by-step explanation:


7. If a rectangular den has an area of 68 3/4 square yards and one side
that's 8 1/4 yards long, how long is the other side? *

Answers

Answer:

26

Step-by-step explanation:

I 8 1/4 x 2 and I got 16 and 2/4 then I subtracted that and got 52 1/4 and then i divided it and got 26 so yh I dunno.

If 10% of the students in your class like sushi, how many students are in your class if 2 students like
sushi?

Answers

Answer: 20 people are in my class

Step-by-step explanation:

Answer:

20 Students

Step-by-step explanation:

10% would represent 1/10,

if 2 students like sushi we would multiply 2 on both sides of 1/10,

We will get 2/20, this represents the 2 people in the class that likes sushi

20 represents the total number of students therefore there are 20 students in your class

given: 10-x+3x=-4(x-4) prove: x=1 and i have to use proofs for each step ex:division property​

Answers

Answer:

10+x+3x=-4(x-4)

10+2x=-4x+16

collect like-terms

2x+4x=16-10

6x=6

divide both by 6 to find the value of x

therefore, x is equal to 1

The Math Counts Club had a party at their school. There were 20 cookies and 40 slices of pizza to be shared equally. Each student had the same number of whole cookies and the same number of slices of pizza with nothing left over. How many students could have been at the party? LCM or GCF?

Answers

Answer:

2, 4, 10 or 20 students

Step-by-step explanation:

Prime factors:

20 = 2*2*540 = 2*2*2*5

Common factors of the two numbers:

2, 4, 10, 20

Possible number of students as above

Micro Knowledge sells 5 times as many computers as Morse Electronics. The difference in sales between the two stores is 20 computers. How many computers did each store sell?

Answers

Answer:

Morse electronics sells 5 computers

Micro knowledge sells 25 computers

Step-by-step explanation:

The computation is shown below:

Let us assume the morse electronics computer be x

So the micro knowledge computers be 5x

And, the difference between them is 20

Now the equation is

5 x - x = 20

4x = 20

x = 5

Hence, the morse electronics sells 5 computers

While on the other hand the micro knowledge sells

= 5 × 5

= 25 computers

A stock price is $100. Volatility is estimated to be 20% per year. What is the an estimate of the standard deviation of the change in the stock price in one week?

Answers

Answer: if I’m correct the answer is $0.38

Step-by-step explanation:

The estimate of the standard deviation of the change in the stock price in one week is $2.77.

What is the standard deviation?

It is defined as the measure of data disbursement, It gives an idea about how much is the data spread out.

We have:

Stock price = $100

Volatility = 20% ⇒ 0.20

We know the standard deviation of change in the stock price is given by:

[tex]\rm = \frac{stock \ price \times implied \ volatility \times \sqrt{days \ to \ change} }{\sqrt{365} }[/tex]

[tex]\rm = \frac{100\times 0.20\times\sqrt{7} }{\sqrt{365} }[/tex]   (1 week = 7 days)

= 5.2343×0.20×2.646

= 2.7699 ≈ $2.77

Thus, the estimate of the standard deviation of the change in the stock price in one week is $2.77.

Learn more about the standard deviation here:

brainly.com/question/12402189

2. Last year, Springfield Middle School had 620
students. This year, it has 582 students. To the nearest
tenth, what is the percent of decrease?
A) 6.1%
B) 6.6%
C) 93.9%
D) 106.5%

Answers

I believe the answer is a

What is 10/5.5 simplified

Answers

Answer:

1 81/99

Step-by-step explanation:

The answer is the mixed number 1 81/99. Hope it helps!

The fraction 10/5.5 with decimal denominator can be simplified to the lowest term as 20/11 or as a decimal 1.8181 approximately to four decimal place.

How to simplify the fraction with decimal denominator

To simplify the fraction with decimal denominator, first convert the decimal to fraction and then use its reciprocal to multiply the numerator as follows:

5.5 = 55/10

so that the original fraction becomes;

10/5.5 = 10 ÷ 55/10

10/5.5 = 10 × 10/55 {the division become multiplication by multiplying the the numerator with the reciprocal of the denominator}

10/5.5 = 100/55

10/5.5 = 20/11

or

10/5.5 = 1.8181 as a decimal.

Therefore, the fraction with decimal denominator can be simplified to the lowest term as 20/11 or as a decimal 1.8181 approximately to four decimal place.

Read more about fraction here:https://brainly.com/question/30154928

#SPJ6

Select the expression that is equivalent to 4-3i

Answers

Answer:

5

Step-by-step explanation

Answer:

The answer is D: 5

Sally is making 15 individual blueberry cheesecakes. How many pounds of blueberries will be in each cheesecake it 5 and 1/4 pounds of blueberries

Answers

Answer:

.35lbs or 7/20lbs

Step-by-step explanation:

if 5 1/4 lbs of blueberries are being distributed evenly through 15 cheesecakes, you would divide 5 1/4 by 15 to see how many lbs of blueberries would be in each cheesecake, which would make .35 lbs of blueberries per cheesecake, or 7/20 lbs.

The number of pounds of blueberries will be in each cheesecake should be  .35lbs or 7by 20lbs

The calculation is as follows;

When 5 1 by 4 lbs of blueberries are being distributed evenly through 15 cheesecakes,

So, here we have to divide 5 1 by 4 by 15 i.e.

[tex]= 5\frac{1}{4} \div 15[/tex]

= 0.35 lbs

Learn more: https://brainly.com/question/1301963?referrer=searchResults

HELP ON ALL QUESTIONS!! *repost* NO ONE IS HELPING ME ILL GIVE 56 POINTS

Answers

Answer:

2. 8 * 3 - 10 = 14

3. 9 * 2 - 10 = 0

4. 5 - 15 = -10

5. 0.5 * 40 = 20

Part 3.

1.   0.25x + 30.00= 59.50

You have 118 text messages

2.   21.50x = 129

You can buy 6 pizza pies with your money

Hope these are right!!!!

Question 3
Find the measure of the angle indicated by the ?

Answers

Answer:

C. 75 degrees

Step-by-step explanation:

160°-85°=75°

Answer:

C

Step-by-step explanation:

180 - 160 = 20

85 + 20 = 105

180 - 105 = 75

Solve the system
X-2y+2z=9
-x+3y=-4
2x-5y+3z=16

Answers

the answer:

x=1

y= -1

z= 3

A tv is 37 inches long and the width is 12 inches how tall is the tv?

Answers

Answer:

35 inches

I hope this helps!

A line passes through the points (4,17) and (7,20). Write a linear function rule in terms of x and y
for this line.
The linear function rule is y=?

Answers

Answer:

The linear function rule is [tex]\mathbf{y=x+13}[/tex]

Step-by-step explanation:

A line passes through the points (4,17) and (7,20). Write a linear function rule in terms of x and y

for this line.

The function rule is of form: y=mx+b

Where m is slope and b is y-intercept

Finding slope using formula: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]

We have [tex]x_1=4, y_1=17, x_2=7, y_2=20[/tex]

Putting values and finding slope

[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{20-17}{7-4}\\Slope=\frac{3}{3}\\Slope=1[/tex]

Finding y-intercept b

Using the point (4,17) to find y-intercept b

[tex]y=mx+b\\17=1(4)+b\\17=4+b\\b=17-4\\b=13[/tex]

So, the linear function rule is:

[tex]y=mx+b\\y=1x+13\\\mathbf{y=x+13}[/tex]

The linear function rule is [tex]\mathbf{y=x+13}[/tex]

A line passes through the points (4,17) and (7,20).

The linear function rule is y= 1x+13

Given :

A line passes through the points (4,17) and (7,20).

The linear function is y=mx+b where m is the slope

lets find out slope using formula

[tex]m=\frac{y_2-y_1}{x_2-x_1} \\(4,17) and (7,20)\\m=\frac{20-17}{7-4}=1 \\[/tex]

Slope of the line using the given points is 1

Lets pick any one point (4,17) and use slope to find function rule y

y=mx+b

x is 4  and y is 17  and m=1

[tex]17=1(4)+b\\17=4+b\\17-4=b\\13=b[/tex]

Replace the value of 'b' and write the equation

[tex]y=mx+b\\y=1x+13[/tex]

The linear function rule is y= 1x+13

Learn more :  brainly.com/question/20850886

write the equation of a line whose slope is -4 and that passes through the point (-2,9)

Answers


Equation of the line:

y = -4x + 1

-2/3 x 3/4
Please help!

Answers

Answer:

-1/2

Step-by-step explanation:

Answer:

-9/8.

Step-by-step explanation:

-3/2 * 3/4

= -3*3 / 2*4

= -9/8.

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