Flying against the wind, a jet travels 2190 miles in 3 hours. Flying with the wind, the same jet travels 9520 miles in 8 hours. What is the rate of the jet in still air and what is the rate of the wind?

Answers

Answer 1

Answer:

Velocity of jet in still air is 970 miles per hour and velocity of wind is 210 miles per hour.

Step-by-step explanation:

Jet's velocity against wind is

3040/4 = 760 miles per hour and flying with wind it is

8260/7 = 1180 miles per hour.

Let the velocity of jet in still air be x miles per hour and velocity of wind be y miles per hour.

As such its velocity against wind is x − y and with wind is x + y and therefore

x − y = 760 and x + y = 1180

Adding the two 2 x = 1940 and x = 970 and y = 1180 − 970 = 210

Hence velocity of jet in still air is 970 miles per hour and velocity of wind is

210 miles per hour.

Actual Answer:

https://socratic.org/questions/flying-against-the-wind-a-jet-travels-3040-miles-in-4-hours-flying-with-the-wind


Related Questions

The figure below is a square with an area of 625 square centimeters. The length of a rectangle is 40% more than the length of the square. Find the length of the rectangle.

Answers

For a square:

A = s2, where s = side (the length and the width are the same)
625 = s2
±25 = s

length of rectangle = 1.4 · length of square
length of rectangle = 1.4(25)
length of rectangle = 35

What is the slope of the line x=6

Answers

Answer:

undefined

Step-by-step explanation:

Vertical lines never have a defined slope as you can never divide a number by zero

The equation of a line in standard form is:

y

=

m

x

+

b

Where

m

is our slope

b

is our y-intercept

In our case we are only given

x

=

6

x

=

6

is a vertical line therefore the slope is undefined.

Jace is deciding between two landscaping companies for his place of business. Company A charges $50 per hour and a $250 equipment fee. Company B charges $75 per hour and a $150 equipment fee. Let A represent the amount Company A would charge for tt hours of landscaping, and let B represent the amount Company B would charge for tt hours of landscaping. Graph each function and determine the number of hours, t, that would make the cost of each company the same.
give me the corrdent plan point i need 2 for example
(5,2) and (4,1) like that on the graph
Answer: ________
dollars per hour
dollars
hours per dollar
hours

my graph is the y axis is 1000 and the x axis is 20

Answers

Hi there!

We can begin by writing an equation for each company.

Let x = number of hours

Company A:

y = 250 + 50x (hourly rate is $50)

Company B:

y = 150 + 75x (hourly rate is $75)

We can set the two equations equal to each other to find their intersection point:

250 + 50x = 150 + 75x

Solve for x:

250 - 150 = 75x - 50x

100 = 25x

x = 4

Solve for y by plugging x into an equation:

y = 150 + 75(4) = 150 + 300 = 450

Thus, the lines intersect at (4, 450)

4 hours ⇒ $450 dollars

1. What kind of sequence is this? 44, 57, 70, 83, .. arithmetic ,geometric,
both , neither ​

Answers

Answer:

arithmetic

Step-by-step explanation:

arithmetic

There is a common difference of 13 between each term.

3x + 4 = 16 what is x?

Answers

Answer:

x = 4

Step-by-step explanation:

3x + 4 = 163x = 16 - 43x = 12x = 12/3x = 4

What is the lcm of 24, 18, and 6

Answers

we have 24= 2^3 x 3 ; 18=2 x 3^2 ; 6=2 x 3

so LCM of 24, 18, 6 is 2^3 x 3^2 = 72

ok done. Thank to me :>

If the equation of the line is f(x) = 1/3x - 5 , what would be the new equation if there was a reflection over the y- axis, a dilation of -6, and a translation of 4 units up?

pls help I already solved but I'm not sure if I did a step out of order

Answers

Answer: Thus, after the transformation, the graph consists of points (x,y) satisfying y=2(x−3)2. This is the equation of the transformed graph.

Step-by-step explanation:

Consider the graph y=x2. Suppose the graph is dilated from the x-axis by a factor of 2, and then translated 3 units to the right. What is the equation of the resulting graph?

Solution

The transformation given is Trans(3,0)∘Dilx-axis,2. Denote by (x′,y′) the image of a point (x,y) under this transformation. A point (x,y) is sent to (x,2y) by the dilation, and then to (x+3,2y) by the translation, so (x′,y′)=(x+3,2y).

The original graph consists of points (x,y) such that y=x2. Then it is transformed so that (x,y)↦(x′,y′)=(x+3,2y). We must find what equation is satisfied by x′ and y′.

Since x′=x+3 and y′=2y, we have x=x′−3 and y=y′/2. Thus y=x2 implies

y′2=(x′−3)2or equivalentlyy′=2(x′−3)2.

What is 7.83 x10^6 in decimal form

Answers

Answer:

7830000.00

Step-By-Step Explanation:

78 - 783 - 7830 - 78300 - 783000 - 7830000

Answer:   7830000

Step-by-step explanation:

7.83*10^6=

------------->

7.83*10^6=7.83

since the exponent equals 6, lets move the decimal sign 6 places to the right.

7.83*10^6=7.8.3.0.0.0.0.

Result is 7 8 3 0 0 0 0  

7.83*10^6=7830000

Of the following points name all that lie on the same vertical line (3,-7)(-5,3)(3,-3)(3,-9)

Answers

Answer:

(-3,9)

Step-by-step explanation:

HOPE THIS HELPSSSSSS!!!!

what is the completely factored form of x^4 - 4x^2 + 8x^3 - 32x + 12x^2 - 48? be sure to show all work.

Answers

Answer:

x^4 + 8x^2 + 8x^3 - 32x - 48

Step-by-step explanation:

You have to group the terms so the only terms that are similar are -4x^2 and +12x^2. -4x^2+12x^2 =+8x^2

There aren't any other similar terms so you can leave it as x^4 + 8x^2 + 8x^3 - 32x - 48

Answer:

x^4 + 8 x^3 + 8 x^2 - 32 x - 48

Hope This Helps!!!

50° x
how to find value of unknown angle​

Answers

Answer:

a) 50

b) 86

c) x = 130      y = 50

Step-by-step explanation:

Opposite angles that share the same lines are always the same.

Consider the following equation.

4x+5y=11
Step 1 of 2 : Determine the missing coordinate in the ordered pair (−2,?) so that it will satisfy the given equation.

Answers

Slope = -1.600/2.000 = -0.800
x-intercept = 11/4 = 2.75000
y-intercept = 11/5 = 2.20000


S.7.G.1.1
Question
In a drawing of a bus, the length is 5 cm. If the scale used
is 1 cm: 9 ft, what is the actual length of the bus?

Answers

9x5 =45 so the actual Length would be 45 feet

Hi I need help pls
50 points

Answers

Answer:

in the first box i do believe it would be 55 and in the second box it would be 45,

Step-by-step explanation:

ZA and B are vertical angles. If mZA = (6x – 11)° and m B = (5x + 4)º,
then find the measure of ZB.

Answers

9514 1404 393

Answer:

  ∠B = 79°

Step-by-step explanation:

Vertical angles are congruent, so you have ...

  6x -11 = 5x +4

  x = 15 . . . . . . . . . . . add 11 -5x to both sides

  5x +4 = 5·15 +4 = 79

The angles measure 79°.

_____

Checkk

  ∠A = 6x -11 = 6·15 -11 = 90 -11 = 79

When you have > or <, the solutions are only in the shaded area.
True
or
False

Answers

Answer: True

Step-by-step explanation: Because the solutions can not land on the dotted lines.

the answer would be true

2. Michael Evans works a basic week of 40 hours. During a certain week he works 52 hours. If his weekly wage is $100.80 and overtime is paid at time and a half, what is his gross wage for the week? 3. In an engineering factory, employees work 38 hour basic Week. Any overtime worked from Monday to Friday is paid at time and half whilst overtime worked on Saturday and Sunday is paid at double time. If the basie wage is $2.48 per hour, find the gross ways for a man who works 12 hour overtime from Nlonday to Friday, 4 hours on Saturday and . 4 hours on Sunday​

Answers

Answer:     3 :3 :3

                 $8.88

Step-by-step explanation:

can someone plz help with this FAST
I WILL MARK BRAINLIEST

Answers

Answer:

42 times

Step-by-step explanation:

lets say the number of times they flew on saturday was x, so we have 34 + 2x = 118. subtract 34 from both sides to get 84. so 2x=84. divide by 2 to get x=42

Answer:

B)  42

Step-by-step explanation:

friday - 34 times

saturday - 'x' times

sunday - 'x' times

34 + x + x = 118

34 + 2x = 118

2x = 84

x = 42

Based on her recipe, Elena knows that 5 servings of granola have 1,750 calories.

1. If she eats 2 servings of granola, how many calories does she eat?

calories

2. If she wants to eat 1050 calories of granola, how many servings should she eat

servings

3. Write an equation that will give us the number of calories (c) from the number of servings (s) eaten.

Answers

Answer:

1. 700 calories

2. 3 servings

3. c = 350s

Step-by-step explanation:

1. 5 servings = 1,750 calories

  divide by 5 on both sides

   1 serving = 350 calories

   multiply both sides by 2

   2 servings = 700 calories

2. 1 serving = 350 calories

   1050 calories = 350 calories X 3

    3 servings = 1,050 calories

3. 1 serving = 350 calories

   # of calories = 350 per serving

    c = 350s

1. Name angle 'x'

2. calculate the size of angle 'y'

Answers

Answer:

y = 70°

Step-by-step explanation:

x = 35° (opposite agles)

y = 180 - 35 - 75

y = 70

-----------------------

check 35 + 75 + 70 = 180°

the answer is good

write the algebraic expression for 3 less than the product of Y and 2​

Answers

Answer:

2y-3

Step-by-step explanation:

the product of y and 2 is just multiplying

then 3 less means subt. 3

Ki has captured many yellow-spotted salamanders. He weighs each and then
counts the number of yellow spots on its back. This trend line is a fit for
these data.
A. parabolic
B. strong
c. weak
D.negative

Answers

Answer:

B

Step-by-step explanation:

A rectangle has length 72 cm and width 56 cm. The other rectangle has the same area as this one, but its width is 21 cm. What is the length of the second rectangle?

Answers

As given, the other rectangle has the same area as this one, but its width is 21 cm. Hence, length is 192 cm.

Answer:

Step-by-step explanation:

As given, the other rectangle has the same area as this one, but its width is 21 cm. Hence, length is 192 cm.

the probability that a tin of paint is dented is 0.07 out of 3000 tins of paint,how many would you expect to be dented?

Answers

Answer:

210

Step-by-step explanation:

3000×0.07

Triangle Angle Theorems Instruction Active Proving the Sum of the Interior Angle Measures of a Triangle ls 180° Try Angles Lines Statements Reasons Given: y || 2 Prove: m25 + m 22+ m26 = 180° 25 26 21 23 m21 m26 m23 m 25 A M M Reasons Statements 1 3 2 LE 4 5 Lo 7 6 B с Assemble the proof by dragging tiles to the Statements and Reasons columos.​

Answers

Answer:

We would need to see the tiles and table. If you'd attach them I'd love to help

Step-by-step explanation:

The triangle is solved and the measure of internal angles = 180°

What is a Triangle?

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

if a² + b² = c² , it is a right triangle

if a² + b² < c² , it is an obtuse triangle

if a² + b² > c² , it is an acute triangle

Given data ,

Let the triangle be represented as ΔABC

Let the two parallel lines be y and z

where y ║ z

And , ∠1 ≅ ∠5 and ∠3 ≅ ∠6 based on the interior angles theorem.

So , ∠1 = ∠5 and ∠3 = ∠6

And , the measure of ∠1 + ∠2 + ∠3 = 180° ( angles on straight line )

And , the measure of ∠5 + ∠2 + ∠6 = 180° ( angles on straight line )

where the measure of ∠1 = ∠5 ( alternate interior angles )

And , the measure of ∠3 = ∠6 ( alternate interior angles )

Hence , the triangle is solved

To learn more about triangles click :

https://brainly.com/question/16739377

#SPJ7

The complete question is attached below :

Triangle Angle Theorems Instruction Active Proving the Sum of the Interior Angle Measures of a Triangle ls 180° Try Angles Lines Statements Reasons Given: y || 2 Prove: m25 + m 22+ m26 = 180°

What kind of sequence is this? 34, 44, 54, 64, ...​

Answers

+10

Each number, 10 gets added
Arithmetic sequence with a common difference of 10

y = 4x – 1 with inputs x = -3, x = -2, and x = -1

Answers

Part 1. If x = -3 the equation would be. Y = -12-1 which would be Y= -13

Part 2. If x = -2 the equation Y = -8-1 which would be Y = -9

Part 3. If x = -1 the equation would be. Y =-4-1 which would be Y = -5

A woman can invest some money at 10% simple interest or at 8% compound interest. If
she invests $8000 for 3 years, find which is the more profitable investment and by how much.

Answers

Answer:

3/12 percent

Step-by-step explanation:

Carla and Diane Bought identical suit cases at a different stores. Carla’s suitcase originally cost $85 and was on sale for 20% off the original price which suitcase was a the better deal? What do we know ? List important facts ? What do we want to find out ?? Solve ??? Show ur work? Explain starts ur Asnwer and give details ? And justify your steps ?

Answers

Answer:

Carla's was the better deal with $68.00

Diane's: $85.00

Step-by-step explanation:

0.2 x 85 = 17

85 - 17 = 68$

Help!!!! neeed someone to answer this question please!! its due today!

Answers

Answer:

1.)

a.)The correlation coefficient is determined by dividing the covariance by the product of the two variables' standard deviations.

b.)Medications such as naproxen, ibuprofen, and acetaminophen are most effective in reducing pain and swelling associated with muscle-related lower back pain. However, OTC medication is less likely to alleviate symptoms that stem from nerve compression or disc problems.

Step-by-step explanation:

I HOPE ITS HELP YOU

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