A plane can fly 360 mph in still air. If it can fly 210 miles downwind in the same amount of time it can fly 150 miles upwind, find the velocity of the wind. mph

Answers

Answer 1

Answer:

55 mph

Step-by-step explanation:

Assuming that

v = velocity of the plane in still air,

w = velocity of the wind.

We are given that v = 360 mi/hr.

Using the equation

x = vt

where

x is the distance an object travels

v is the speed of the object

t is the time taken

While the plane is flying downwind, the velocity becomes v + w. On the other hand, if it is flying upwind, the velocity becomes v - w.

For a particular time t = T, distance traveled x = 210 mi at downwind, and x = 150 mi at upwind.

Creating an equation from the two, we have

210 mi = (360 + w)T

150 mi = (360 - w)T

Solving for T, we have

T = 210/(360 + w)

T = 150/(360 - w)

And since T is the same in both cases, we say that

So, 210/(360 + w) = 150/(360 - w)

Or on rearranging,

(360 + w)/210 = (360 - w)/150

(360)(150) + 150w = (210)(360) - 210w

55800 + 150w = 75600 - 210w

360w = 19800

Therefore, the speed of the wind is 55 mile per hour


Related Questions

if £2000 is placed into a bank account that pays 3% compound interest per year, how much will be in the account after two years?

Answers

Answer:

2121.8

Step-by-step explanation:

2000(1+0.03/1)^2

A= P(1+ r/n) ^nt

A = final amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of time periods elapsed

I don't remember what I learned. So, this might be wrong because I googled the formula :)

A cardboard tube used for storing posters has the shape of a cylinder. It is 100 centimeters long and has a diameter of 8 canimeters. What is the volume of the tube

Answers

Answer:

[tex]Volume = 5028.6cm^3[/tex]

Step-by-step explanation:

Given

[tex]Height = 10cm[/tex]

[tex]Diameter = 8cm[/tex]

Required

Determine the volume

The volume of a cylinder is calculated as thus:

[tex]Volume = \pi r^2h[/tex]

Where [tex]r = radius[/tex]

[tex]r = \frac{1}{2} * Diameter[/tex]

[tex]r = \frac{1}{2} * 8cm[/tex]

[tex]r = 4cm[/tex]

[tex]h = 100cm[/tex]

Take

[tex]\pi = \frac{22}{7}[/tex], so we have

[tex]Volume = \pi r^2h[/tex]

[tex]Volume = \frac{22}{7} * 4^2 * 100[/tex]

[tex]Volume = \frac{22}{7} * 16 * 100[/tex]

[tex]Volume = \frac{22 * 16 * 100}{7}[/tex]

[tex]Volume = \frac{35200}{7}[/tex]

[tex]Volume = 5028.6cm^3[/tex]

The sales tax in the town where Amanda lives is 9%. Amanda paid $36 in sales tax on a new stereo. What was the price of the stereo?

Answers

Answer:

$400

Step-by-step explanation:

9%= .09

$36÷.09=$400

Answer:

400

9 percent equals .09

36 divided by ,09 equals 400

400 would be your answer

HELP THIS IS URGENT FIND THE AREA OF THE SHAPE SHOWN BELOW

Answers

Answer:

uuhh sorry

Step-by-step explanation:

Please help ASAP! Mathematics!

Answers

Answer:

B.) See attachment below

Step-by-step explanation:

Answer:

Personally, I would say the answer is B.

But don't quote me.

Sorry if i'm wrong. Let me know if I am.

Have a great day hon.

Every year on November 1, the Stablo family plants a tree. This tradition has
happened for generations and the first tree the family planted is now 183 years
old. Two of the trees were planted in their backyard; one is an apple tree and the
other is a maple tree. The maple tree is older than 100, but was not the first tree
planted. On November 1 of this year, the age of the maple tree is fifteen times
the age of the apple tree.
On November 1 of some year from now, the age of the maple tree will be eleven
times the age of the apple tree. How old are the trees that year?

Answers

Answer:

64

Step-by-step explanation:

rff

percentage of households with internet access is equal to 60%

Answers

Answer: Is there more to the question if so please tell me and i'll answer.

Step-by-step explanation:

Translate this sentence into an equation.
17 less than Vidya's savings is 64

Answers

Answer:

S - 17=64

Step-by-step explanation:

HELLPPPP PLEASEEE!!

A pack of gum costs $1.49. It has 25 pieces in a pack. How much does it cost to chew each piece of gum?

Answers

Answer:

$0.05

Step-by-step explanation:

<3

Solve: |x - 4| = 0
Help if can

Answers

Answer:

answer is x=4 I'm pretty sure

Step-by-step explanation:

I used a calculator

Answer:

x=4

Step-by-step explanation:

If you plug 4 in, 4-4=0 and the absolute value will not change anything.

$1,400 principal earning 6%, compounded semi-annually, after 10 years

Answers

Answer: $2528.56  is the answer because if you do the problem you should get something like this

A=P(1+r/n)^nt

Plug in the values:

P=1400, r=6/100=0.6,

n=2 and t=10

A=1400(1+.06/2)^2(10)

A=$2528.56

Hope it helped

Yours,

Nathaniel

Step-by-step explanation:

How much simple interest would x dollars earn in 13 months at a rate of r percent?​

Answers

16 im adding this for yes reasons

In △BCD, H is the centroid. If HF=6 find BF.

Answers

Answer:

18

Step-by-step explanation:

The centroid of a triangle is located ⅓ of the distance from each side to the opposite vertex

So HF=⅓BF

So BF=3xHF=3x6=18

Last year at a certain high school, 12 students sought the nomination for president of the student body. In how many ways could the voters (student body) rank their first 4 choices?

Answers

Answer:

495 different ways

Step-by-step explanation:

This question bothers on combination. Combination has to do with selection. When selecting r objects from a pool of n objects, this is expressed as;

nCr = n!/(n-r)!r!

For us to choose rank the first 4 choices from 12 students nominated, this can be done in 12C4 number of ways;

12C4 = 12!/(12-4)!4!

12C4 = 12!/8!4!

12C4 = 12*11*10*9*8!/8!*4*3*2

12C4 = 12*11*10*9/24

12C4 = 11880/24

12C4 = 495 ways

Hence this can be done in 495 different ways

1/2 + 5/2 =

I need help with this

Answers

Answer:

3

Step-by-step explanation:

1/2+5/2=    6/2=    3/1=       3

I hope this helps you and good luck!

HELP PLEASE

Use AAS to prove the triangles congruent.
Given: AB || GH, AC || PH, AC « FH
Prove: ABC - AHGF
H
Complete the flowchart proof.
Proof:
ZBZG
AB | GH
Given
1
ZACB ZHPG
AABC AHGF
AC | FH
Given
2
AAS
AC PH
Given

Answers

Answer:

The 1st the 3rd and 4th are the answers

Step-by-step explanation:

Edgen

f(x) = 5/4a3 – 3a2 + 1/3a y g(x)= 2/5a3 + 3/4a - 6/5 ???
urgent!!

Answers



I believe this is the answer if you need it in this order.

82 divided by 10 1/2

Answers

Answer:

164/21

Step-by-step explanation:

82÷10 1/2

82÷21/2

82×2/21

164/21

So the Answer is 164/21

The value of the division of the 82 by 10¹/₂ is 164/21.

The mixed number (10 1/2) can be changed into an improper fraction in order to divide 82 by it. In order to do this, we multiply the whole number (10), by the fraction's denominator (2), and then add the numerator (1).

This gives us 10 x 2 + 1 = 21.

So, 10 1/2 can be written as the improper fraction 21/2.

To divide 82 by 21/2, we can multiply 82 by the reciprocal of 21/2. The reciprocal of a fraction is found by flipping the numerator and the denominator.

Therefore, the reciprocal of 21/2 is 2/21.

Multiply 82 by 2/21:

82 x (2/21) = 164/21.

So, 82 divided by 10 1/2 is equal to 164/21.

To know more about division follow

https://brainly.com/question/29047852

#SPJ6

6 1 message Noah's dog eats 8 ounces of dog food each day. Noah bought a 28-pound bag of dog food. How many 8-ounce servings are in a 28-pound bag of dog food?

Answers

Answer:56
Explanation: 28 pounds = 448 ounces
448/8=56

Emmett went to the chocolate store and bought 5 pounds of chocolate. If 2⁄3 of the chocolate was white chocolate, how many pounds of white chocolate did he purchase?

Answers

Answer:

3.3, somethin like dat

Step-by-step explanation:

Emmet seems kinda thicc

Find the missing side lengths leave your answerss as radicals

Answers

Answer:

n=7

m= 7[tex]\sqrt{3}[/tex]

Step-by-step explanation:

lmk if you need work

Square root of -1 = 1. Math test

Answers

Answer:

false. the sqrt of -1 = i

Step-by-step explanation:

if a(2x-3)=bx+5 then the solution for x in terms of a and b is

Answers

Answer:

x=(3a+5)/(2a-b)

Step-by-step explanation:

first we distribute the a to the 2x and -3

2ax -3a=bx+5

we move the -3a over by adding 3a

2ax=bx+5+3a

then we move the bx over

2ax-bx=5+3a

we can now group the left side like this

x(2a-b)=5+3a)

to find x all we must do is divide both sides by (2a-b)

x=(3a+5)/(2a-b)

please help

the answer choices are

8 and 7/13

4 and 28/30

8 and 6/30

8 and 28/30

will give brainlyest

Answers

Answer:

answer is 8 and 28/30

Step-by-step explanation:

Someone please help me with my whole quiz! I am on question 5. I am doing a lot of points for this!

Answers

Answer:

For any equation X€R But here is Nothing like it.

Step-by-step explanation:

0 = -x^-4 is wrong to say.

Parallel to the line y=-3x + 5 passes through (-4,5)

Answers

Answer:

The equation of line that is Parallel to the line y=-3x + 5 passes through (-4,5) is: y = -3x-7

Step-by-step explanation:

Given equation of line is:

[tex]y = -3x+5[/tex]

General form of slope-intercept equation of line is:

[tex]y=mx+b[/tex]

Comparing both we get

m = -3

The slope of two parallel line sis equal.

Let m1 be the slope of line parallel to given line, then

m1 = -3

Putting in general form

[tex]y = -3x+b[/tex]

Putting (-4,5) in equation

[tex]5 = -3(-4) +b\\5 = 12+b\\b = 5-12\\b = -7[/tex]

Putting in the general form, we get

[tex]y = -3x-7[/tex]

Hence,

The equation of line that is Parallel to the line y=-3x + 5 passes through (-4,5) is: y = -3x-7

3p- 2c^3- 3c^3p +2 Write as a product

Answers

Answer:

[tex] (3p + 2) (1 - c)(1 + c + {c}^{2} )[/tex]

Step-by-step explanation:

[tex]3p- 2c^3- 3c^3p +2 \\ \\ = (3p - 3 {c}^{3} p) +( 2 - 2c^3) \\ \\ = 3p(1 - c^3) + 2(1 - c^3) \\ \\ = (1 - c^3)(3p + 2) \\ \\ = (1 - c)(1 + c + {c}^{2} )(3p + 2) \\ \\ = \bold{ \red{(3p + 2) (1 - c)(1 + c + {c}^{2} )}}[/tex]

Number 10 thank you ASAP

Answers

D more information is needed to connect slope and rate of change
I think the answer would be D.

4) Adult tickets for the evening show at XD Theater are $11 and children's tickets are $Belf the theater seats 250 people, how many adult tickets must be sold for $2.300 of total sales? Answer: adult tickets ​

Answers

Omitted value: The price of children ticket was omitted in the question, so i used $8 to solve. You can input the correct value and solve the same way following the steps.

Answer: 100 adult tickets  must be sold.

Step-by-step explanation:

step 1

let  x represent Adults

AND y represent children

Since the theater seats 250 people we have that

x+y = 250..... equation 1

Also price for Adult ticket = $11

and  price children ticket =$8

With total sales at $2,300, we have that

11x + 8y= 2300----- equation 2

Step 2

Making y subject in equation 1

' x+y = 250

y= 250-x

Putting y= 250- x in equation 2

11x + 8(250-x)= 2300

11x +2000-8x= 2300

11x -8x = 2300-2000

3x= 300

x 300/3

x= 100.

To find y

 x+y = 250

100+y=250

y=250-100

y=150

Therefore 100 adult tickets and 150 children tickets must be sold to get a total sales of $2,300

An airplane flew 2400 miles in 4 hours if the plane for the same number of miles each hour how many miles it fly in 1 hour

Answers

Answer:

600?

Step-by-step explanation:

you do 2400÷4 which would be 600 for each hour

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