A flight from Boston to London took only 5 hours because of a strong tailwind. The flight back to Boston against the same wind took 6 hours. What was the speed of the wind if the speed of the plane in still air is 550 mph?

Answers

Answer 1

Step-by-step explanation:

let v is the speed of the wind,

the equation of the speed:

(550 + v ) × 5 = (550 - v) × 6

2750 +5v = 3300 - 6v

11v = 3300 - 2750

11v = 550

v = 550/11

v = 50

therefore, the speed of the wind =

50 mph

Answer 2

Step-by-step explanation:

v = speed of the wind

5(550 + v) = 6(550 - v)

2.750 + 5v = 3.330 - 6v

5v + 6v = 3.300 - 2.750

11v = 550

v = 550 ÷ 11

v = 50mph


Related Questions

Expand the function.
f(x) = (2x + 3)4

Answers

Answer:

y = 8x + 12

Step-by-step explanation:

y = (2x + 3)4

Distribute the 4 to the 2x  and 3

y = 8x + 12

^ Expanded form

Brainliest if correct 

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Answer:

a b

They both are a type of currency from different countries in order to purchase things

Needing to find the answer to this question attached. Thank you

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[tex]\sin \theta -1 =0\\\\\ \implies \sin \theta = 1\\\\ \implies \theta = \dfrac{\pi}2 + 2\pi n\\\\\text{For n =0,}\\\\\theta = \dfrac{\pi}2[/tex]

Write an equation for the sentence.

Four times a number less 10 is equal to 16 ?

Answers

Answer:

four times a number less 10 is equall to 16 ia not

Select the correct answer from each drop-down menu. The general form of the equation of a circle is 7x2 + 7y2 − 28x + 42y − 35 = 0. The equation of this circle in standard form is . The center of the circle is at the point , and its radius is units.

Answers

7 x² + 7 y² - 28 x + 42 y - 35 = 0 /: 7

x² + y² - 4 x + 6 y - 5 = 0

( x² - 4 x + 4 ) + ( y² + 6 y + 9 ) - 4 - 9 - 5 = 0

The equation in the standard form is:

( x - 2 )² + ( y + 3 )² = 18

The center is at the point ( 2, - 3 ).

Its radius is: √18 = 3√2 units.

Answer:

A. (x - 2)^2 + (y + 3)^2 = 18.

B. (2, -3)

C. 3(2^(1/2))

Step-by-step explanation:

The equation of this circle in standard form is (x - 2)^2 + (y + 3)^2 = 18. The center of the circle is at the point (2, -3), and its radius is 3(2^(1/2)) units.

2/5+1/2=====================

Answers

Answer:

9/10

Step-by-step explanation:

To add fractions, find the LCD and then combine.

Exact Form:

9/10

Decimal Form:

0.9

Write a linear function f
with f(5)=−1
and f(0)=−5
.

Answers

Answer:

f(x) = 4/5x - 5

Step-by-step explanation:

y-mx+b

m=-5-(-1)/0-5=4/5

y = 4/5x + (-5)

y = 4/5x - 5

Round 0.13171 to the thousandths place (three decimal places).

Answers

Answer is 0.132 ........
0.132, and that’s pretty much it

which ordered pair would be plotted in quadrant 3

Answers

Answer:

(-5,-9)

Step-by-step explanation:

please help this is for my study guide thanks! ​

Answers

The volume is 29.32 <3

Can I have the answers to EVERY question?

Answers

Hey where are the questions?

You measure 43 randomly selected textbooks' weights, and find they have a mean weight of 75 ounces. Assume the population standard deviation is 12.4 ounces. Based on this, construct a 90% confidence interval for the true population mean textbook weight.

Answers

Answer:

by the empirical rule, 95% of the population is within 2 standard deviations of the mean

55 + or - 2(9.2) = 55+ or - 18.4 = (36.6,73.4)

95% of the population falls between 36.6 and 73.4 ounces

Step-by-step explanation:

-4x^2+64x+256=0 completing the square

Answers

[tex]-4x^2 +64x +256 =0\\\\\implies x^2 -16x -64 =0\\\\\implies x^2 - 2 \cdot 8 \cdot x + 8^2 -8^2 -64=0\\\\\implies (x-8)^2 -128 =0\\\\\implies (x-8)^2 = 128\\\\\implies x-8 = \pm\sqrt{128} = \pm \sqrt{64 \times 2} = \pm 8\sqrt 2\\\\\implies x = 8 \pm 8\sqrt2\\\\\text{Hence,}~ x = 8+ 8\sqrt 2~\text{or}~ x = 8 - 8\sqrt 2[/tex]

A committee is formed consisting of one representative from each of the 4 departments (CS-IS-IT-SW) in the computer science college, where the representative from a department is either the president or one of the two representatives from that department. How many ways are there to form this committee?

Answers

Step-by-step explanation:

each department has 3 options for their representative.

and each of these options can be associated with the 3 options of the next department. and so on.

so, we have

3×3×3×3 = 3⁴ = 81

possibilities to firm that committee overall.

A scientist begins with 50 milligrams of a radioactive substance that decays exponentially. After 40 hours, 25 mg of the substance remains. How many milligrams will remain after 59 hours? Round to the nearest milligram.

Answers

Based on the information given, the number of milligrams that will remain after 59 hours will be 13.125 milligrams.

Since after 40 hours, 25 mg of the substance has been removed, therefore, the rate per hour will be:

= 25/40 = 0.625.

The amount that will be removed in 59 hours will be:

= 59 × 0.625 = 36.875

The number of milligrams that will remain will be:

= 50 - 36.875 = 13.125 milligrams

Read related link on:

https://brainly.com/question/25776703

simplify 4y(4y-4)-4(-4y+5+4y2)

Answers

-32y - 20 is the answer




Thank me later

A hotel reservation number consist of 4 digits, followed by 1 letters, followed by 3 digits. How many different reservation numbers are possible?

Answers

Answer:

24000000

(might not be correct)

Step-by-step explanation:

might not be right but ill try:

ten digits: 10

4times:10x10x10x10=10000

times a letter:24 letters= 10000x24=240000

time three digits: 10x10x10=100x240000=24000000

The total number of combination for the repeating and not repeating cases are 260000000 and 604800 respectively.

What is permutation and combination?

Permutation and combination are the ways of counting.

Permutation implies selection of objects regardless of arrangement while Combination implies the selection when arrangement is important.

Given that,

The hotel reservation number contains 4 digits, 1 letter and then 3 digits.

Now, there are two possible cases for the given problem as follows,

Case 1 : The digits are repeating.

Then the total number of combinations for digits varying from 0 to 9 and 26 letters will be,

10 × 10 × 10 × 10 × 26 × 10 × 10 × 10

= 260000000

Case 2 : The digits are not repeating.

Then, for seven digits out of 10 the number of combinations are ¹⁰P₇.

And, for 26 letters it is ²⁶P₁.

Thus the total number of combinations are ¹⁰P₇ × ⁶P₁ which is equal to,

10 × 9 × 8 × 7 × 6 × 5 × 4 × 26

= 604800

Hence, the different number of combinations for the reservation number for the two cases are 260000000 and 604800 respectively.

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https://brainly.com/question/13387529

#SPJ2

Solve each of the following equations. Show its solution set on a number line. Check your answers. 2|2-x|=-5

Answers

Answer:

Use the distributive property to multiply 2 by x−1.

l2x-2I=11

2x-2=-11

Add 2 to both sides of the equation.

2x=-9

Divide both sides by 2.

x=13/2

That's the final answer

Hope u have a great day!!

PLEASE HURRY NEED HELP!!!!!
The Jayden family eats at a restaurant that is having a 15% discount promotion. Their meal costs $78.88 before the discount, and they leave a 20% tip. If the tip applies to the cost of the meal before the discount, what is the total cost of the meal? Round your intermediate calculations and answer to the nearest cent.

Answers

Answer:

80.22

Step-by-step explanation:

a.Donkey Kong is an arcade game where an animated figure, Mario, jumps over barrels. In the original game, it was virtually impossible to get through to Level 22 before Mario was ‘killed’ by the game. This was an unintended consequence of how the number of bonus points was calculated and stored.

The number of bonus points a player starts with when they move onto a new level depends on the number of the level that they are moving onto. Behind the scenes, Donkey Kong takes the level that is about to be entered, multiplies it by 10 and adds 40, thus yielding the first two digits of the player’s starting bonus.

So, for example, if a player is about to start Level 2, the bonus number is calculated like this:

2 × 10 + 40 = 60.

This bonus number is stored in a single byte as an unsigned integer. The bonus number will never be 0.

i.Write down and evaluate an expression for the number of different unsigned integers that can be represented in a single byte. Then write down the largest unsigned integer that can be represented if no representation for 0 is required.
ii.Find the bonus number associated with Level 22. Explain why storing this bonus number will cause a problem.
iii.For Level 22, the bonus number actually stored is 4. Give one likely explanation for this.
iv.The bonus number is multiplied by 100 before it is displayed on the screen, so for Level 22 the number displayed on the screen is 400. The displayed number decreases by 100 every 1.75 seconds. When the displayed number reaches 0, Mario is automatically killed. How many seconds does the player have to finish Level 22?

Answers

Answer: what is the Question?

Step-by-step explanation:

dur rn help pls ))))))))))

Answers

I believe it is a because I had a question just like that in 8th grade

can someone heelp me plz plz

Answers

Answer:

d)fluid ounce may be right answer

9w=8w-5
[tex]9w=8w-5[/tex]

Answers

Answer:

9w=8w-5

collect like terms

9w-8w=-5

w=-5

Help me answer these math problems. They are due by 10:00 PM Tonight. Please answer them carefully.

1. What is the formula for simple interest?

2. If Michael invests $2300 in the bank at a rate of 5.5% for a 6 year term, what will the interest be at the end of the term? (round to nearest cent)

3. Kelsey takes out a loan for $6000 to start a business after high school. The bank charges her 8% simple interest for the loan. Term is five years. After 5 years , what will the balance be for the repayment of this loan? (round to nearest cent)

4. Jessie invests $3345 in the stock market. Over the 3 years she has this invested, she gets an average return of 7.8% simple interest. How much interest will she had made over the 3 year period? (round to nearest cent)

5. How much of a difference is there, in interest, between an investment of $899 with simple interest of 5% and an investment of $499 with a simple interest of 9%, both for a six year term? (round to nearest cent)

6. What balance will you have in your account, in 8 years, if you invest $4000 at 3.5% compounded quarterly? (round to nearest cent)

7. Gina deposited $1500 in an account that pays 11% interest compounded monthly.
What will the balance be in 5 years? (round to nearest cent)

8. You invested $4,400 for 2 years at 7.3% compounded semianually. What is your total balance after 12 years? (round to nearest cent)

9. You want to buy a new motorcycle so you borrow $14,200 for 5 years at an interest rate of 13% and it’s compounded daily. How much interest will you have paid after the 5 year term has ended? (round to nearest cent)

(PLEASE ANSWER THESE QUESTIONS TONIGHT BY 8:00 PM)

Answers

Answer:

. Kelsey takes out a loan for $6000 to start a business after high school. The bank charges her 8% simple interest for the loan. Term is five years. After 5 years , what will the balance be for the repayment of this loan? (round to nearest cent)

Step-by-step explanation:

Given the function g(x) = x2 - 4x + 0, determine the average rate of change of
the function over the interval 1 < x < 7.

Answers

Answer:

4

Step-by-step explanation:

ARC = [tex]\frac{g(b) -g(a)}{b-a}[/tex], b = 7, a = 1

24/6 = 4

Elena has $84, and Priya has $12. How much money must Elena give to Priya so that Priya will have three times as much as Elena? Create an equation to represent the problem, and solve for how much Elena must give Priya. (Use x as your variable).

Answers

Step-by-step explanation:

$84 $12 use x as your variable then cross multiply and the answer u get is us variable

CRITICAL THINKING Is it more difficult to walk up the ramp or the hill? Explain. ​

Answers

The ramp walk is more difficult than the hill. Those who know can only be about that.

Find the value of x that makes the equation true:

x + 3 = 4

a. x = 12
b. x = 2
c. x = 1
d. x = 7

Answers

Answer to this question is option C

Find the measure of

Answers

Answer:

Step-by-step explanation:

180 - (180 - 102) - (180 - 123) = 180 - 78 - 57 = 45°

Match question I need help
Please.

Answers

Answer:

b

Step-by-step explanation:

Answer:

Step-by-step explanation:

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