A plane traveled 3355 miles with the wind in 5.5 hours and 2585 miles against the wind in the same amount of time. Find the speed of the plane in still air and the speed of the wind.

HELP QUICKKKKK

Answers

Answer 1

Answer:

Speed of the plane in still air is 540 mph,Speed of the wind is 70 mph

=======================

Let the speed of plane is x and speed of the wind is y.

The speed of the plane with the wind is x + y and speed of the plane against the wind is x - y.

Equation for speed:

speed = distance / time

Since the same amount of time spent in both cases, we can set equations:

x + y = 3355/5.5 ⇒ x + y = 610x - y = 2585/5.5  ⇒ x - y = 470

Add up the two equations and solve for x:

x + y + x - y = 610 + 4702x = 1080x = 540

Find y:

540 + y = 610y = 610 - 540y = 70

Related Questions

What is the 10th term in the sequence -3, -8, -13, ..

Answers

Answer:

-48

Step-by-step explanation:

The full sequence until the tenth term is...

-3, -8, -13, -18, -23, -28, -33, -38, -43, -48,

Answer:

-48

Step-by-step explanation: You don't really care about the explanation. You already got the answer. What are you still doing here, reading this?

help me pleasee, my brain won't work

help me pleasee, my brain won't work

Answers

The given fractions have equal value, so Liam is correct.

How to find the equivalent fractions?

Equivalent fractions are defined as fractions that have different numerators and denominators but the same value. For example, 2/4 and 3/6 are equivalent fractions because they are both equal to 1/2. A fraction is part of a whole. Equivalent fractions represent the same part of a whole.  

Liam is claiming that the fraction -(5/12) is equivalent to 5/-12.

Thus, we can say that:

The fraction  -(5/12) can be described as the opposite of a positive number divided by a positive number. A positive number divided by a positive number always results in a positive quotient and its' opposite is always negative.

The fraction 5/-12 can be described as a positive number divided by a negative number which always results in a negative quotient

The fractions have equal value, so Liam is correct

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Dilate ΔABC by a factor of 2 (with the origin as the center of dilation) to form ΔA′B′C′. Measure the side lengths of the dilated triangle. Confirm that the ratio of corresponding side lengths of ΔABC and ΔA′B′C′ is equal to the scale factor of the dilation.

Answers

Answer:

Step-by-step explanation:

This is from PLATO

Dilate ABC by a factor of 2 (with the origin as the center of dilation) to form ABC. Measure the side

Carmen has bought tickets for a raffle. The probability of her winning is 1/5What are the odds in favor of her winning

Answers

The probability of her winning is 1/5.

We have that odds in favor of a particular event are given by Number of favorable outcomes to Number of unfavorable outcomes. This is:

\(P=\frac{\text{favorable outcomes}}{unfavorable\text{outcomes}}\)

Therefore, odds in favor of the winning is

\(1\colon4\)

Answer: 1 : 4

Answer:

The probability is 20%.

Step-by-step explanation:

convert the fraction into percentage.

Distribute 3(x^2+2x)

Answers

Answer: 3x^2 +6x

Explanation: Multiply each term in the parentheses by 3.

Answer:3

3\(x^{2}\)+6x

is this what you want?

Step-by-step explanation:

i need to know the volume and an explanation plz?!??

i need to know the volume and an explanation plz?!??

Answers

Answer:

V ≈ 471.2 in³

Step-by-step explanation:

The volume (V) of a cylinder is calculated as

V = πr²h ( r is the radius of the base and h is the height )

Here diameter = 10, so r = 10 ÷ 2 = 5 and h = 6, then

V = π × 5² × 6 = π × 25 × 6 = 150π in³ ← exact value

V ≈ 471.2 in³ ( to 1 dec. place )

X2+14x=-7 what number must you add to complete the square

Answers

Answer:

49

Step-by-step explanation:

To find the number we add to both sides to complete the square, we do b divided by 2 all squared.

(b/2)²

In this case, we have b = 14

(14/2)²

49

Answer:   49  

Step-by-step explanation:

To complete the square, the second leading coefficient  divided by 2 squared will give you the number need to add to both sides.

For example,

14 is the second leading coefficient in the   so if you divide it by 2 you get 7  and 7 squared is 49.

Which statement provides a valid justification for why all circles are similar?​

Answers

Every circle has a 360 degree angle. (Size does not affect the angle of a circle)

Help needed for this question.

Help needed for this question.

Answers

Answer:

the size is 3size Dana makatulong Tama Yan

The Scenario: You're looking for a sponsor to pay for you to
participate in a sailboat race. Now that you've solved the
parallax problem, use the same skills you used there to write a
proposal that shows that you can win the race.
The Project: Use the information provided in the performance
task to estimate your travel costs and to calculate your average
speed and the speed of last year's winner. Use the questions
below to help you gather information to write your proposal.
Part I: Which race? Choose a city (8 points)
When you write your proposal, you'll need to tell your sponsor about the costs
and risks involved in the race you've chosen. You'll investigate these in Part I.
1. Which city did you pick and why? (2 points)


Does anyone have the answers to these

The Scenario: You're looking for a sponsor to pay for you toparticipate in a sailboat race. Now that

Answers

The city of Newport, Rhode Island as the location for the sailboat race. Newport is an ideal choice for several reasons. Firstly, Newport has a rich sailing heritage and is renowned for hosting prestigious sailing events, including the world-famous America's Cup.

Secondly, Newport offers exceptional sailing conditions. It is situated on the picturesque coast of New England, providing a stunning backdrop for the race. The area benefits from consistent winds and challenging tidal currents, making it an exciting and competitive racecourse. Sailors from around the world are drawn to Newport for its unique sailing experience.

Moreover, Newport offers excellent infrastructure and facilities for sailboat racing. The city has a well-established marina with ample berthing space and modern amenities. It also boasts a vibrant waterfront community, with a range of hotels, restaurants, and shops that cater to sailors and race enthusiasts. The presence of these amenities ensures a comfortable and enjoyable experience for participants and spectators alike.

Overall, selecting Newport as the race location not only aligns with the city's sailing legacy but also guarantees a challenging and captivating race for all involved. Its favorable sailing conditions and well-developed infrastructure make it an ideal choice to showcase my skills and compete against top sailors in a highly competitive environment.

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-a/6 + 7 = -14 I want to know how to do this

Answers

Step-by-step explanation:

so, if you did not make a typo the problem is

-a/6 + 7 = -14

and I guess, you need to find the value of a to make this equation true. right ?

you know that you can do additional operations on the equation ?

the rule is, whatever you change on one side of the equation you have to change also on the other side (otherwise we would destroy the original equation, where the left side must be equal to the right side).

so, a good idea to start is to try and separate the terms with the variable and the constants.

so, let's subtract 7 from both sides :

-a/6 = -14 - 7 = -21

next, the fraction is disturbing. let's dissolve it by multiplying both sides by 6 :

-a = -21×6 = -126

both sides are negative expressions. that is not nice either. let's multiply both sides by -1

a = 126

and we have our result ! bingo !

The chart indicates the time, speed, and velocity of five runners.

A 4-column table with 5 rows. The first column labeled runner has entries Garreth, Luigi, Elisa, Jasmine, Logan. The second column labeled total time has entries 45 minutes, 35 minutes, 40 minutes, 35 minutes, 35 minutes. The third column labeled speed has entries 6.2 miles per hour, 5.0 miles per hour, 6.2 miles per hour, 5.0 miles per hour, 5.6 miles per hour. The fourth column labeled velocity has entries 5.5 miles per hour west, 4.3 miles per hour east, 5.5 miles per hour west, 4.0 miles per hour south, 4.0 miles per hour north.
Which best describes the runners?

A.Garreth and Elisa ran the same distance but not the same displacement, Luigi and Jasmine went the same displacement, and Logan ran faster than Jasmine.
B.Garreth ran farther than Luigi, Elisa and Jasmine went the same distance, and Logan and Jasmine has the same displacement in the opposite direction.
C.Garreth and Elisa ran together, Luigi and Jasmine went the same distance, and Logan and Jasmine have the same displacement in the opposite direction.
D.Garreth ran less than Logan, Elisa and Jasmine went the same displacement, and Luigi and Garreth ran together.

Answers

Answer:

c (just took the test)

Step-by-step explanation:

Garreth and Elisa ran together, Luigi and Jasmine went the same distance, and Logan and Jasmine have the same displacement in the opposite direction.

As per the given information, in which the time, speed, and velocity of five runners, the statement that gives the best description about the runners is: “Garreth and Elisa ran ………..  in the opposite direction.” Hence, Option C is correct.

Who are called runners?

From a cardiovascular aspect, runners are highly fit athletes, but they frequently struggle with their balance, upper body strength, and glute power. Sports that use different muscles and gaits are recommended for runners.

While sprinters are taller and significantly more muscular, long-distance runners often have a shorter, lighter build. The types of workload each runner endures are a direct result of the differences between these two body types.

Logan and Jasmine moved in the opposite direction at the same speed as Jasmine, while Garreth and Elisa ran side by side. Luigi and Jasmine also covered the same distance.

Therefore, Option C is correct.

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what is the solution set of |-x+4|=-3​

Answers

The equation | -x + 4 | = -3 does not have a solution set.

The absolute value of a number is always non-negative, meaning it is either zero or positive. The absolute value of any expression, including -x + 4, cannot be negative. However, in this equation, the right side is -3, which is negative. The equation | -x + 4 | = -3 does not have a solution in the set of real numbers.

The absolute value of a number is always non-negative, meaning it is either zero or positive. The absolute value of any expression, including -x + 4, cannot be negative. However, in this equation, the right side is -3, which is negative.

Since the absolute value cannot be negative, there are no values of x that can satisfy the equation | -x + 4 | = -3. Therefore, the solution set is indeed empty or "no solution" in the set of real numbers.

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Caleb is a junior at JA Enterprise High School and plays rugby on the school team. He has a part-time job at a local fast-food restaurant and works 20 hours a week for $7.60 an hour. His gross monthly income is $608.00, and his take-home pay is $501.64. In his spare time, Caleb walks a dog belonging to an elderly neighbor. He earns an additional $40.00 per month for that chore.

Caleb's parents gave him a used car, and he pays his own insurance, which is $110 per month. His gas and maintenance expenses usually run $65 a month. He also has a cell phone and pays his parents $30 each month for his share of the family plan.

In three weeks, Caleb plans to take a day trip to Six Flags amusement park. His admission will cost $50, and he plans to have $35 for meals and another $50 for incidentals.

Caleb needs to start saving for Christmas, which is in four months, and he usually spends around $200 on gifts for his family and friends. He also would like to buy a new $80 e-reader this month.

Though Caleb's parents will help pay for his college tuition, he knows that in two years, he will have to pay for his books and earn his own spending money. He is estimating that each semester, he will spend $300 on books and $600 on personal needs.

How much are Caleb's regular monthly expenses?

Answers

Answer:

Caleb's net monthly income would be $541.64

Step-by-step explanation:

His monthly take home pay from restaurant is $501.64

Since he earns additional $40 per month for dog walk,

Therefore, his monthly pay would be ;

= $501.64 + $40

Caleb's net monthly income =$541.64

Caleb's monthy regular expenses including car insurance and books is

$355.

What is an equation?

An equation is written in the form of variables and constants separated by the operation of multiplication and division,

An equation states that terms in different forms on both sides of the equality sign are equal.

Multiplication and division do not separate the terms of an equation.

From the given information, The total net earnings of Caleb is,

= $(501.64 + 40).

= $541.64.

Now, The expenses for Car insurance, Gas, and cell phone recharge is,

= $(110 + 65 + 30).

= $205.

Again, For books and personal needs, he have to spend $(300 + 600).

= $900.

Monthly it is,

= 900/6.

= $150.

Therefore, Caleb's regular expenses is,

= $(205 + 150).

= $355.

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Find The surface area of the composite figure

Find The surface area of the composite figure

Answers

Answer: It should be 470 cm^2

Step-by-step explanation:

Find the total number of different permutations of the set {a, b, c, d, e, f, g}.

Answers

The total number of different permutations of the set is 5040

How to determine the total number of different permutations of the set?

The set of elements is given as

Set =  {a, b, c, d, e, f, g}.

The cardinality of the above set is

n = 7

So, the total number of different permutations of the set is

Permutation = n!

This gives

Permutation = 7!

Expand

Permutation = 7 * 6 * 5 * 4 * 3 * 2 * 1

Evaluate

Permutation = 5040

Hence, the total number of different permutations of the set is 5040

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What is the product?

(5r − 4)(r2 − 6r + 4)

Answers

Answer:

1r

Step-by-step explanation:

(5r-4)(2r-6r+4)

1(5r-4)+1(2r-6r+4)

5r-4+2r-6r+4

5r+2r-6=1r

1r-4+4

-4+4=0

1r

Of the $175 that Sheila has, she gives $7 to charity. What percent does she give to charity?

Answers

Answer:

Your answer is 4%

Step-by-step explanation:

7÷175×100 = 4

7/175x100=4
She gave 4% to charity

help me please!!! asap​

help me please!!! asap

Answers

Answer:

B. 6

Step-by-step explanation:

Step 1: Subtract 3 from both sides.

6=n

Answer B. 6 equals n

Step-by-step explanation:

9 = 6 + 3

Quincy Jackson sells motorcycles. He earns a 10 percent commission on the first $5,000 and 15 percent on all sales over $5,000. How much cornmission will he earn on $19,000 in sales?

Answers

Answer:

total commission= $2,600

Step-by-step explanation:

Giving the following information:

He earns a 10 percent commission on the first $5,000 and 15 percent on all sales over $5,000.

First, we need to structure the total commission formula:

total commission= 0.10*x + 0.15*y

X= sales up to $5,000

Y= sales from $5,001 to infinity

Now, sales for $19,000 sales:

total commission= 0.1*5,000 + 0.15*14,000

total commission= $2,600

Explain how the following ordered pairs represent or doesn't represent a function - {(–3, 5), (–2, 5), (–1, 5), (0, 5), (1, 5), (2, 5)} a. For every x value there is one y value - not a function c. For every y value, there is one x value - function b. For every x value, there is only one y value - a function d. For every y value, there is one x value - not a function

Answers

Answer:

  b.  For every x value, there is only one y value - a function

Step-by-step explanation:

If any x-value is repeated, the relation is not a function. The above answer choice explains that.

1.6y+y-4/15y+1 1/6y=2 1/3

PLZ HELP I GIVE BRAINLYIEST TO WHOEVER SOLVES FIRST

Answers

Answer:

i think its 2/3

Step-by-step explanation:

4 What is the value of the expression (
\(( {81}^{ \frac{1}{4} } ) ^{4} \)
A. 3 B. 12 O C. 27 O D. 81​

Answers

Answer:

D. 81

Step-by-step explanation:

(81^¼)⁴ = 81^(¼×4) = 81¹ = 81


An equation for the line whose slope is 5 and which passes through the point (-2,11) is

Answers

Answer:

y=5x+10

Step-by-step explanation:

y-11=5(x+2)

y-11=5x+10

  +11      +11

y=5x+21

y=5x+10


I did this before

andrew is riding his bike. he biked a distance of 14 miles at a rate of 7 miles per hour. using the distance formula, d

Answers

According to the question It took Andrew 2 hours to bike a distance of 14 miles at a rate of 7 miles per hour.

Using the distance formula, we can calculate the time it took for Andrew to bike a distance of 14 miles at a rate of 7 miles per hour. The formula for distance is:

Distance = Rate × Time

Rearranging the formula to solve for time:

Time = Distance / Rate

Plugging in the given values:

Time = 14 miles / 7 miles per hour

Time = 2 hours

Therefore, it took Andrew 2 hours to bike a distance of 14 miles at a rate of 7 miles per hour.

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Factor out of the coefficent of the variables term
The expression 15/4+3/8xfactored is what?

Answers

Answer:

your answer is 33/8

Step-by-step explanation:

Answer:

fgehjenrntktkktmttbtbvtvt

Algebra

Find the value of x and y

(3x-y, 2) =(2, x+y) ​

Answers

The value of x and y in the algebra (3x - y, 2) = (2, x + y) ​ are 1 and 1 respectively.

What is an equation?

An equation is an expression that shows how numbers and variables are related to each other using mathematical operators.

Given the algebra:

(3x - y, 2) = (2, x + y) ​

Therefore, equation:

3x - y = 2        (1)

Also:

x + y = 2        (2)

From both equations, solving simultaneously:

x = 1, y = 1

The value of x and y are 1 and 1 respectively.

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is this statement true?

two lines form congruent alternate exterior angles with a transversal if the lines are parallel.

i need to get this one right to not fail pls help

Answers

Answer:

yes and no,depends.

parrallel cant make any angles exept 180-straight line angle.

PLS HELPP URGENTTLLYYY
Drag the numbers to label the points plotted on the number line.​

PLS HELPP URGENTTLLYYYDrag the numbers to label the points plotted on the number line.

Answers

Answer:

\(\frac{10}{5} = -\frac{2}{1}\) = -2

-1.25

-0.5

0.75

\(\frac{3}{2} = 1\frac{1}{2}\) = 1.5

Step-by-step explanation:

the numbers are in order in which they should be put in the line from left to right.

What’s 10-8+434+87+64

Answers

it is 587
i trust my calculator
587 is the answer because of Order of operations addition from left to right
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