An Airbus A320 jet flies 5 hours west with a 40-mph tailwind. Returning against the wind takes 7 hours. Find the speed of the jet with no wind.

Answers

Answer 1

Answer:

The speed of the jet with no wind is 240 miles per hour.

Step-by-step explanation:

The speed of the jet with no wind is equivalent to the speed of the jet relative to wind. Physically speaking, we have the following system of linear equations under the assumption that both speeds of wind and jet are constant:

In favor of wind

[tex]\frac{s}{t_{F}} = v_{W}+v_{J/W}[/tex] (1)

Against wind

[tex]-\frac{s}{t_{A}} = v_{W} -v_{J/W}[/tex] (2)

Where:

[tex]s[/tex] - Travelled distance, measured in miles.

[tex]t_{F}[/tex], [tex]t_{A}[/tex] - Time, measured in hours.

[tex]v_{W}[/tex] - Wind speed, measured in miles per hour.

[tex]v_{J/W}[/tex] - Jet speed relative to wind, measured in miles per hour.

If we know that [tex]t_{F} = 5\,h[/tex], [tex]t_{A} = 7\,h[/tex], [tex]v_{W} = 40\,\frac{mi}{h}[/tex], then the speed of the jet with no wind is:

[tex]\frac{s}{5} = 40 + v_{J/W}[/tex] (3)

[tex]-\frac{s}{7} = 40-v_{J/W}[/tex] (4)

[tex]\frac{s}{5}-40 = 40 +\frac{s}{7}[/tex]

[tex]\frac{s}{5}-\frac{s}{7} = 80[/tex]

[tex]\frac{7\cdot s - 5\cdot s}{35} = 80[/tex]

[tex]2\cdot s = 2800[/tex]

[tex]s = 1400\,mi[/tex]

From (3), we find that speed of the jet with no wind is:

[tex]v_{J/W} = \frac{s}{5}-40[/tex]

[tex]v_{J/W} = \frac{1400}{5}-40[/tex]

[tex]v_{J/W} = 240\,\frac{mi}{h}[/tex]

The speed of the jet with no wind is 240 miles per hour.


Related Questions

There are 15 students on the chess team. Seven of the students are in the fourth grade.

Which shows the fraction of the team that is in the fourth grade?

A.

4

5

B.

7

15

O

C

8

15

OD. 15

7

Answers

Answer:

7/15 (B)

Step-by-step explanation:

7 fourth graders out of 15 total = 7/15

Please help on this question!

Answers

Answer:

d

Step-by-step explanation:

a baseball team wins 45% what fraction of the games do they win

Answers

Answer:

= 9/20

Step-by-step explanation:

45% = 45/100

= 0.45

= 0.45/1 × 100/100

= 45/100

= 9/20

Determine the order pair and quadrant for each point:
A.
B.
C.

Answers

Answer:

A: (-4,1) QUAD 2

B: (-1, -3) QUAD 3

C: (2,5) QUAD 1

D: (5, -4) QUAD 4

Step-by-step explanation:

The legs of a right triangle measure 5 inches and 9 inches.

What is the measure of the smallest angle of the triangle?

Enter your answer, rounded to the nearest tenth of a degree, in the box.

Answers

Answer:

29.1

Step-by-step explanation:

Use logic.

Jk. Tan(x) = 5/9 so x = tan^-1(5/9)

Use a graphing calculator in degrees mode.

The measure of the smallest angle of the triangle would be equal to 29.1

What are trigonometric identities?

Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot.

A right-angle triangle is a triangle that has a side opposite to the right angle the largest side and is referred to as the hypotenuse. The angle of a right angle is always 90 degrees.

We are given that the legs of a right triangle measure 5 inches and 9 inches.

We need to find the measure of the smallest angle of the triangle

Tan(x) = 5/9

Therefore, we have;

x = tan^-1(5/9)

x = 29.1

Learn more about trigonometric;

https://brainly.com/question/21286835

#SPJ2

What is 13x + 21y - 14x - y simplified?

Answers

Answer:

-x + 20y

Step-by-step explanation:

trust me.. its right

!! PLEASE HELP, TIMED!!Multiple choice, BRAINLIEST for correct answer!

Answers

Answer:

I'm not going to lie I'm not 100% sure but I think it's c

Answer:

D

Step-by-step explanation:

4x=4+2y

3y=5+2x

‍♂️‍♂️‍♂️help me plz I dont no 1+1​

Answers

Answer:

The answer is 2

Step-by-step explanation:

Since the number 1 plus 1 is 2

11, you do 1+1 n take away the +

x² + 4 = 55
What is x

Answers

Answer:

7.1414284285

answer...

Write an equation of the parabola with focus (0, 10) and vertex at the origin

Answers

Answer:

f(x) = (1/10)x²

Step-by-step explanation:

This is the answer that  I think it is but I am not sure if it is right...

Hope this helps!

zach read a book10 min every weekend for the first month 20min in 2nd month 40 min in third month and 80 min in 4th month
victoria read a book 35 everyweekend for first month 50 min second month 65 min third month 80 min 4 the month which method is used linear or exponential

Answers

Answer:

Zach time of reading every weekend forms a sequence with these terms: 10, 20, 40, 80. On the other hand, that of Victoria forms a sequence with terms: 35, 50, 65, 80. By keenly observing the sequences, Zach's sequence is a geometric sequence with a common ratio equal to 2 and Victoria's sequence is an arithmetic or linear sequence with a common difference of 15. Thus, the answer is letter B.

Step-by-step explanation:

Extend the pattern below by four terms write an observation about the pattern pattern 76, 70, 64,58,52

Answers

Answer:

46, 30, 24, 18, 12

Step-by-step explanation:

a typing question please help and make brainleist​

Answers

Answer:
540

Explanation:

How Many Equal Parts Are In 4/5

Answers

Answer:

4

Step-by-step explanation:

Image result for how many equal parts are in 4/5

Each equal part is called one-fourth or a quarter of the whole sheet. So, any whole can be divided into four equal parts and each part is one-fourth or a quarter of the whole.

The answer would be 4 ^^


A turtle is crawling up a hill that rises 6 feet for every horizontal change of 36 feet. Write the slope of the hill as a
fraction in simplest form.

Answers

9514 1404 393

Answer:

  1/6

Step-by-step explanation:

The slope is the ratio of rise to run.

  slope = rise/run = (6 ft)/(36 ft) = 6/36 = 1/6

The slope of the hill is 1/6.

Suppose a loaded die has the following probability model: If this die is thrown and the top face shows an odd number, what is the probability that the die shows a 1

Answers

Answer:

the probability is 0.6

Step-by-step explanation:

The computation is shown below:

Let us assume the X would be the number appear on the top face

Now

= P(X = 1) ÷ P(X = 0)

= 0.3 ÷ 0.3 + 0.1 + 0.1

= 0.3 ÷ 0.5

= 0.6

hence, the probability is 0.6

A department store buys 300 shirts at a cost of $3,600 and sells them at a selling price of $20 each. Find the percent markup. The percent markup is 1%. (Round to the nearest whole number as needed)​

Answers

Answer:

40%

Step-by-step explanation:

A department store buys 300 shirts at a cost of $3,600 and sells them at a selling price of $20 each. Find the percent markup.

The formula for Percent Markup is given as:

Selling price - Cost price/Cost price × 100

Cost price = $3,600

Selling price = $20 × 300 shirts

= $6000

Percent Markup = $6000 - $3600/6000 × 100

= 2400/6000 × 100

= 40%

The percent Markup is 40%

Escribevel numero decimal que corresponde alos puntos intermedios que indican las flechas

Answers

Answer:

cualeeeeeeeeeeeeeeeeeeeeees fffffleeeeeccccchhhhaaaasssss

Please help me?! I don’t have a lot of time? Please I will give brainiest for the correct answer !

Answers

Answer:

It should be -3

Hope it helped i tried to help you ASAP

Step-by-step explanation:

In 2016, 5,200 parking permits were issued in a city. The number of parking permits increases by 5% every year. Let y represent the number of parking permits issued x years since 2016.

Which type of sequence does the situation represent?

A.
The situation represents an arithmetic sequence because the successive y-values have a common difference of 1.5.
B.
The situation represents an arithmetic sequence because the successive y-values have a common difference of 1.05.
C.
The situation represents a geometric sequence because the successive y-values have a common ratio of 1.5.
D.
The situation represents a geometric sequence because the successive y-values have a common ratio of 1.05.

Answers

The situation represents a geometric sequence because the successive y-values have a common ratio of 1.05.

What is geometric series?

A geometric series is a series in which the division of any consecutive two terms will be the same.

here, we have,

to determine the situation:

The given parameters are:

Initial = 5200

Rate = 5%

Because the population by 5% every year, then the situation is a geometric sequence.

The common ratio is then calculated as:

Ratio = 1 + Rate

This gives

Ratio = 1 + 5%

Evaluate

Ratio = 1.05

Hence, the situation represents a geometric sequence because the successive y-values have a common ratio of 1.05.

Read more about geometric sequence at:

brainly.com/question/11266123

#SPJ7

I don't understand how to do this ​

Answers

Answer:

x = 86

Step-by-step explanation:

The top right and bottom left angles are part of the reflective property, in turn, the bottom left angle is also 94 degrees; to find the opposite relfective angle set, it would be, in this problem, the top left and bottom right angles; the two top angles make up 180 degrees, so it would be (180-94 = 86) 86 degrees for both the top left and the bottom right angles.

Hope this helps :)

The function d = 16t2 models the distance d, in feet, that an object falls in t seconds. Find the inverse function and use the inverse function

o estimate the time it takes an object to fall 100 feet. (1 point)

Answers

Answer:

[tex]t = \frac{1}{4}\sqrt d[/tex]

Time to reach 100ft is 2.5 seconds

Step-by-step explanation:

Given

[tex]d = 16t^2[/tex]

Solving (a): Determine the inverse function

[tex]d = 16t^2[/tex]

Swap the positions of d and t

[tex]t = 16d^2[/tex]

Make d the subject

[tex]\frac{t}{16} = d^2[/tex]

Take positive square root of both sides

[tex]\sqrt{\frac{t}{16}} = d[/tex]

[tex]d = \sqrt{\frac{t}{16}}[/tex]

[tex]d = \frac{1}{4}\sqrt t[/tex]

Swap the positions of d and t

[tex]t = \frac{1}{4}\sqrt d[/tex] --- The inverse function

Solving (b): Find t when d =100

Substitute 100 for d in [tex]t = \frac{1}{4}\sqrt d[/tex]

[tex]t = \frac{1}{4}\sqrt {100[/tex]

[tex]t = \frac{1}{4}* 10[/tex]

[tex]t = \frac{1* 10}{4}[/tex]

[tex]t = \frac{10}{4}[/tex]

[tex]t = 2.5[/tex]

HELP PLEASE!!!
See the image!

Answers

Answer:

Step-by-step explanation:

Remark

I don't think the net helps you that much. The yellow diagram shows where the dimensions are.

Givens

L = 5w = 5h = 12

Formula

Surface Area = 2*L*w + 2*L*h + 2 * w * h

Solution

Surface Area = 2*5*5 + 2*5*12 + 2*5*12Surface Area = 50 + 120 + 120Surface Area = 290 in^2

Never was given anything to help solve they just assume you know it

Answers

Answer: 0.4575

Step-by-step explanation:

.915/2

LOGIC PROBLEM
3. CALL TO ORDER
by MARY MARKS CEZUS Sally was just about to complete her first week as a waitress with no major problems when in walked four of her friends. Each ordered a different sandwich, drink, and salad. To test her logic and her waitressing skills, they gave their order to Sally as clues. Sally successfully placed their orders in front of them within a few minutes. Can you, too, match each friend's name (one is Mike), sandwich, drink, and salad (one is a fruit salad)?
1. The four orders are Kathy's, the one with a hamburger, the one with a cola, and the one with the tossed
salad. 2. Linda does not want the tuna melt. 3. Jeff, the person who wants the lemon-lime drink, and the person who wants the grilled cheese, all three think
this is great fun. 4. The orange drink does not go with the potato salad. 5. Jeff wants neither the cola nor the tuna melt. 6. The tossed salad does not go with the chicken fillet. 7. Linda and the person who ordered the grilled cheese are going shopping after lunch. 8. Neither the coleslaw nor the root beer go with the hamburger. 9. The coleslaw goes with neither the chicken fillet nor the lemon-lime. .

Answers

Answer:

not yet di ko po maintindihan

Step-by-step explanation:

sana po magets nyo po

Need help with math points and brainlest

Answers

answer: 10 ft (now i’m just typing to make it 20 letters long lol)

Answer: 10 because if they have the same shape then it must be 10.

I'm not sure if they want the same area or the same length. But if you want the volume then it would be 2. Because 2 x 75 = 150 and 15 x 10 = 150. Wait for more responses if needed.

Please help asap!!
Which of the following ordered pairs is a solution to the system of inequalities? Select ALL that apply.

А. (-4,1)

B. (-3, -4)

C. (0, -3)

D. (0,1)

E. (5,-2)

Answers

B and e I think I don’t know tho
The answer is going to be B and E
Hope this helps

Find the exact value of sec795°

Answers

Answer:

I believe the answer would be [tex]\sqrt{6}+\sqrt{2}[/tex] or 3.8637

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Find the slope of the line passing through the points (-7, 5) and (2,5).

Answers

There is no slope the y axis is the same in both

Answer:

slope = 0

Step-by-step explanation:

Use formula to find the slope: m = (y2 - y1) / (x2 - x1)

Set (x1, y1) = (-7, 5)

Set (x2, y2) = (2, 5)

m = (5 - 5) / (2 - (-7))

m = (5 - 5) / (2 + 7)       FYI, negative * negative = positive

m = 0 / 9

If you plot the coordinates, they'll lie on a horizontal line. Therefore, the slope of the line is 0.

I solved it myself and my result is (n+1)/n. Why is that 1/2 there? An explanation would be great if possible. Thanks!

Answers

Answer:

The product of (k + 1) series starts with 3 (because k = 2) and you need 2 to be multiplied to this in order to get (n + 1)!

Therefore you need to multiply 2 and 1/2 to make it right. 2 completes the factorial and 1/2 remains.

Hope it was clear explanation.

Other Questions
What right guarantees private citizens the right to own guns?the right not to suffer unusual punishmentthe right to assembleO the right to bear armso the right to the free exercise of religionASAP Helpp 1. PART A. What does the world "inconsolably" most closely mean as it is used in line 68? A. Laughing or ridiculously. B. In an extremely distraught and upset way. C. Unable or unwilling to be comforted. PART B: Which phrase from the text best supports the answer to Part A?A "Give me my chance./I do think, though, you overdo it a little." ( Lines 64-65)B You'd think his memory might be satisfied ( Line 68-69)CThere you go sneering now!" ( Line 70)DYou make me angry. I'll come down to you." ( Line 72) PLZ HELP!!! THIS IS DUE IN A FEW MINS It HAS to be one paragraph :DWhat has the power to heal? Explain. Identify ways people deal with emotional pain and how they overcome this intense emotion. How many atoms of nitrogen appear to be on the reactant side? Which of the following makes a true statement about U.S. foreign policy? It is the secretary of state who makes all the important decisions related to foreign policy. One of its goals is to encourage other countries to make their governments more democratic.Congress believes foreign policy is more important than domestic policy and works on it first. The president usually tries to maintain isolation by sending ambassadors to other countries. which term does not relate to the others slow growth,invest,profit,capital This element, in the nitrogen family, has more protons than silver, but less than xenon What was the initial price of a t-shirt if, after a 25% discount, it cost $12?Please show how you answered it! I need to learn and get the answer too Help please! I really need it! please dont guess if you dont know, dont answer.....( this is basic geometry im just dum'b) part 5 Hey guys. Sorry for all the questions. But Im checking my answers for a Science test. Here are my questions.1. Which type of energy does moving water have?A. ElectricalB. WindC. KineticD. Potential2. A teacher walks quickly by a student sitting at her desk. Which term describes what the student observed?A. SpeedB. MotionC. Position D. ForceThank you!! I aint gonna lie this is easy points hehehehe A team of scientists is studying several plant species that they think could become new farm crops. The scientists want to apply selective breeding todevelop one of the species into useful crop plants.Which property of a plant species would be MOST USEFUL for meeting the scientists' goal?A. very low genetic variationB. very high genetic variationC. producing only a few fruits and seeds each growing seasonD. growing slowly from seedlings to maturity DNA is found in every cell of an organisms body. 1. Qu va a hacer Alicia el sbado por la noche? The equation S = 50 + 45w represents the savings, S, after w weeks working anddepositing (putting in) money into a savings account at the bank.Determine whether there is a proportional relationship between S and w.Explain your reasoning. What is the equation of the line graphed below ? The ratio of boys to girls in Mr. Lee's Geography class is 3 to 5. If there are a total of 32 students in the class, how many of them are girls? 13. L'Shonda purchased a container of juice that contains 200 calories. The label says that 40% of the calories are from carbohydrates. How many calories are from carbohydrates? y+2 y+2 y+2 y+2 y+2 ^ 30 If rectangle LMNO were rotated 180 clockwise about the origin to create rectangle L'M'N'O', what would the measure of angle O' be?