Mathematics College

Flying against the wind, an alrplane travels 4700 kilometers in 5 hours. Flying with the wind, the same plane travels 9520 kilometers in 7 hours. What is the rate of the plane in still air and what is the rate of the wind?

Answers

Answer 1

Answer:

i think this

Step-by-step explanation:

Let Va = the velocity of the airplane

Let Vw = the velocity of the wind

When flying with the wind:

(Va+Vw)*(4 hours) = 4000

4Va + 4Vw = 4000

4Vw = 4000 - 4Va

Vw = 1000 - Va

When flying against the wind:

(Va-Vw)*(7 hours) = 4200 km

7Va - 7Vw = 4200

Substitute 1000-Va for Vw and solve for Va:

7Va - 7(1000-Va) = 4200

7Va -7000 + 7Va = 4200

14Va = 11200

Va = 800 km/hr

Rate of wind:

Vw = 1000 - Va = 1000 - 800 = 200 km/hour

Related Questions

decide which of the following sets of points.

Answers

Answer:

Im pretty sure that the answer would be choice f.

Step-by-step explanation:

(a) {T, P, E}: Neither. These points are not collinear because they do not lie on the same line, and they are not coplanar because they are not contained within the same plane.

(b) {A, B, D, M}: Coplanar. These points lie on the same plane since they are contained within the drawing.

(d) {A, K, E}: Neither. These points are not collinear because they do not lie on the same line, and they are not coplanar because they are not contained within the same plane.

(e) {M, K, T}: Neither. These points are not collinear because they do not lie on the same line, and they are not coplanar because they are not contained within the same plane.

(f) {A, Q, P, D}: Coplanar. These points lie on the same plane since they are contained within the drawing.

EM, P, B: Neither. These points are not collinear because they do not lie on the same line, and they are not coplanar because they are not contained within the same plane.

EM, P, B: Neither. These points are not collinear because they do not lie on the same line, and they are not coplanar because they are not contained within the same plane.

To know more about "Coplanar." here

https://brainly.com/question/24430176

#SPJ2

the answer options are

6.75
-1.5y
-3x

thank you :))

Answers

Answer:

-1.5y

Step-by-step explanation:

+y(–1.5) = -1.5y

This is how distribution works

Answer:

-1.5y

Step-by-step explanation:

have a nice weekend ヽ(ヅ)ノ

Why do we have to do school

Answers

To learn math reading writing and pe.

[tex]3= \frac{f}{6} -1[/tex]

Answers

Answer:

f=24

Step-by-step explanation:

3 = f/6 - 1

Multiply both sides of the equation by 6.

18=f−6

Swap sides so that all variable terms are on the left hand side.

f−6=18

Add 6 to both sides.

f=18+6

Add 18 and 6 to get 24.

f=24

In the figure below,

Answers

Answer:

m<GLK = 58°

Step-by-step explanation:

Given:

m<GLH = 2x + 6

m<HLJ = x

Required:

m<GLK

Solution:

First, find the value of x

m<GLH + m<HLJ = 180° => Linear Pair Theorem

Substitute

2x + 6 + x = 180

Add like terms

3x + 6 = 180

3x + 6 - 6 = 180 - 6

3x = 174

3x/3 = 174/3

x = 58

m<HLJ = x = 58°

Thus, m<HLJ and m<GLK are Vertical angles.

Therefore:

m<GLK = m<HLJ (Vertical angles theorem)

m<GLK = 58° (Substitution)

If Sam's present age is x years, what will be his age in years after 20 years from now?
31 x + 20
x - 20
20x
x/20

Answers

it would be x+ 20
explanation: it jus be like that

combine like terms -2m+16-13m

Answers

-15m+16
Combine variable terms of -2m + (-13m) to get -15m and you add 16 to get
-15m+16

Answer:

-15m + 16

Step-by-step explanation:

The political opinion organization hired 100 new employees, which increases its staff by 40%. What was the original number of employees?

Answers

Answer:

40(?)

I don't remember exactly if that's correct, but I hope it's right! Comment if you want the explanation

40% = 0.4
100 = 0.4x
250 employees

Check:
250 x 0.4 = 100

A local animal shelter has 27 dogs and 23 cats. What percent of the
animals are dogs?

Answers

Answer:

54%

Step-by-step explanation:

total animals=27+23=50

[tex]dogs=\frac{27}{50} \times100=54[/tex]

Which arrangement of blocks has the least surface area?

Answers

Answer:

8 cubes separated

Step-by-step explanation:

I need help please help

Answers

Answer:

about 407 sq cm

Step-by-step explanation:

area of semi-circle: π10²/2 = 50π or 157

area of triangle: (20)(25)/2 = 250

-x+3y=-1 x-3y=1
one solution, no solution, or infinitely many solutions
PLEASE HELP

Answers

Answer:

infinitely many solutions

Step-by-step explanation:

-x + 3y= -1

x - 3y =1

0=0

identity solution

Which group contains triangles that are similar. im having a hard time

Answers

Answer:

1st group contains triangles that are similar

Step-by-step explanation:

since its opposite corresponding angle are equal.

(-3, 3), (1, 1), (0 -2), (1, -4), (5, -1) domain and range
is it a function

Answers

Domain:
{−3, 1, 0, 5}

Range:
{3, 1,−2,−4,−1}

Tyshawn drew a two-dimensional shape. The shape had multiple sides. The
shape had only right angles. There are two pairs of parallel lines. One pair is 4 inches

Answers

Answer:

This is a rectangle

Step-by-step explanation:

2D shape with 4 right angles would be a rectangle because 2 sides are equal and the other 2 would be equal to give you 4 right angles

5.) Find the product of:
39.06 x 0.3

Answers

Answer:

11.718

Step-by-step explanation:

Answer given above. Pls check

Answer:

11.718

Step-by-step explanation:

I don't know, figure it out yourself.

PLSS I need help please

Answers

Answer:

The Last One

Step-by-step explanation:

Hope This Helps ; )

Answer:

2/6

Step-by-step explanation:

help me pleasee :) u get 15 points lol

Answers

Answer:

Step-by-step explanation:

Hey There!

To solve this problem we are going to use distributive property

We are going to distribute the -8 to what's inside of the parenthesis (10x and -3)

10xx-8=-80x

-8x-3=24

were left with

-80x+24

hope this helps!

Is this correct if not can someone give me the answer I will mark u brilliant

Answers

Answer: the first one is 735.75

the second one is 69

Step-by-step explanation:

THEY ARE BOTH CORRECT!

Answer: They are both correct. Good job! :)

Step-by-step explanation:

a rectangular prism with a volume of 10 cubic units is filled with cubes with side lenghts of 1/2 unit how many 1/2 unit cubes does it take to fill the prism

Answers

Answer:

Step-by-step explanation:

The volume of a cube is

V=s^3, we are told the volume is 10u^3 and that it will be filled with cubes having a side of 1/2 so

n(1/2)^3=10, where n will be the number of these small cubes

n(1/8)=10 upon multiplying each side by 8

n=80

So it will take 80 cubes of side length 1/2 to have a volume equal to 10u^3

Summer buys a bag of cookies that contains 7 chocolate chip cookies, 8 peanut butter cookies, 5 sugar cookies and 7 oatmeal cookies.

What is the probability that Summer reaches in the bag and randomly selects 2 oatmeal cookies from the bag? Round your answer to four decimal places.

Answers

Answer:

her chance of getting otmeal cookies are 7 out of 20

Step-by-step explanation:

you can round yourself

novels about Harry Potter, a boy who learns on his eleventh birthday that he is the orphaned son of two powerful wizards and possesses unique magical powers of his own. He is summoned from his life as an unwanted child to become a student … More
Releas

pls help! a small box measures 5in. by 10 in. By 7 in height. Find the volume of the box

Answers

Answer:

350

Step-by-step explanation:

Box’s Volume = 350 in.^3

Factorise the following.

Answers

Answer:

Q.1 14x³ by 42x²

= 14x³/42x²

= x/3

Q.2 11xy²z³ by 55xyz

= 11xy²z³/55xyz

= 1/5yz²

The children went to the library. They wanted to read books

Answers

Answer:

Imma guess that it's a youth education program and library some teacher is planning for children to read for knowledge and excitement? :3

Step-by-step explanation:

You would like to have $10,000 in an account after eight years time. If the account earns 2.5% compounded interest yearly, how much would you have to deposit today

Answers

Answer:

You have to deposit $8,207.5 today.

Step-by-step explanation:

Compound interest:

The amount of money in yearly compounded interest, after t years, is given by the following equation:

[tex]A(t) = A(0)(1+r)^t[/tex]

In which A(0) is the initial deposit and r is the interest rate, as a decimal.

You would like to have $10,000 in an account after eight years time.

This means that when [tex]t = 8, A(t) = 10000[/tex]

2.5% compounded interest

This means that [tex]r = 0.025[/tex]

[tex]A(t) = A(0)(1+r)^t[/tex]

[tex]A(t) = A(0)(1+0.025)^t[/tex]

[tex]A(t) = A(0)(1.025)^t[/tex]

How much would you have to deposit today?

We have to find A(0), when [tex]t = 8, A(t) = 10000[/tex]. So

[tex]A(t) = A(0)(1.025)^t[/tex]

[tex]10000 = A(0)(1.025)^8[/tex]

[tex]A(0) = \frac{10000}{(1.025)^8}[/tex]

[tex]A(0) = 8207.5[/tex]

You have to deposit $8,207.5 today.

Jasmine began completing the table below to represent a particular linear function.

a. Complete the table and find the rate of change for the function

Rate of change:

b. Create a graph and write an equation to represent this function

Answers

Answer:

Step-by-step explanation:

Rate of change = Slope of line

Use the coordinates of two points to find the slope of the line.

Slope of line through (2,5) and (0,1) = (5-1)/(2-0) = 2

(0,1) is a point on the line, so the y-intercept is 1.

Slope-intercept equation of the line: y = 2x+1

Use the equation to fill in the rest of the table:

x = -2, y = -3

x = ½, y = 2

x = 1, y = 3

x = 3, y = 7

A rectangular garden is 20 ft longer than it is wide. Its area is 800 ft 2 . What are its dimensions?

Answers

Our equation for the area of a rectangle is l x w = A (length times width equals area)
We know that l=w+20 so we can plug this into our equation.
It is now, (w+20) x w =800
We can then solve for w
w^2 +20w =800
We can subtract 800 on each side to get
w^2 +20w - 800 =0
We then factor to get
(w-20)(w+40)=0
This gives us w =20 and w = -40
Width cannot be negative so our width will be 20 feet
Since our length is 20 more than this, then our length will be 40feet
So the dimensions of the rectangle are 20 ft wide by 40 ft long

Please answer this!!!!!!!!!!

Answers

Answer: Dylan

Step-by-step explanation:

Dylan because i it has 8 sides and if each student rolls it 200 times, then you should divide 200 by 8. Which would make the odds 1/25. And Dylan´s number is closest to 25.

Can someone please help.
Mall produces strawberry jam for several food shops. She uses big jars to deliver the jam to the shops. One time she distributed 80 liters of jam equally among the jars. She decided to save 4 jars and to distribute jam from these jars equally among the other jars. She realized that she had added exactly of the previous amount to each of the jars. How many jars did she prepare at the start?

Answers

Answer:

8 jars

Step-by-step explanation:

Let the number of jars is x.

80 liters distributed, each jar has:

80/x

Redistribution with 4 less jars, each jar now has:

80/(x - 4)

Each jar has now twice the amount:

80/x*2 = 80/(x - 4)2/x = 1/(x - 4)2(x - 4) = x2x - 8 = xx = 8

She prepared 8 jars at the start

44 and 45 are alternate interior
angles. Find the measure of 44.
{
115/65°
43/44
64 = [?]
45/46
{
47/48

Answers

Answer:

∠4= 115°

Step-by-step explanation:

∠4= 115° (vertically opposite angles are equal, parallel lines)

Answer:
∠4 = 115°

Explanation:

There is two method to do this question:

M1:
∠5 = 115° (corresponding angles)

∠5 = ∠4 (alternate interior angles)

115° = ∠4

∠4 = 115°

M2:
∠4 = 115° (vertical opposite angles are equal)

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Flying against the wind, an alrplane travels 4700 kilometers in 5 hours. Flying with the wind, the same plane travels 9520 kilometers in 7 hours. What is the rate of the plane in still air and what is the rate of the wind?​

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Flying against the wind, an alrplane travels 4700 kilometers in 5 hours. Flying with the wind, the same plane travels 9520 kilometers in 7 hours. What is the rate of the plane in still air and what is the rate of the wind?