An airplane takes 4 hours to travel a distance of 2600 miles with the wind. The return trip takes 5 hours against the wind. Find the speed of the plane in still air and the speed of the wind.

Answers

Answer 1

2,600/4 =650
650•5 =3,250

I found the unit rate of the 2,600 by dividing the per hour and then times it by the 5 hours

Hopefully that was what you were looking for

Answer 2

The speed of the plane in still air = 585 mph

and the speed of the wind = 65 mph

What is speed?

"It is the distance covered per unit time."

What is the formula of speed?

"speed = distance/time"

For given question,

Let, the speed of the airplane in still air = x mph

and the speed of the wind = y mph

So, the speed of the airplane with the wind = (x + y) mph

and the speed of the airplane against the wind = (x - y) mph

Here, the distance (d) = 2600 miles

An airplane takes 4 hours to travel a distance of 2600 miles with the wind.

[tex]\Rightarrow x+y=\frac{2600}{4} \\\\\Rightarrow x+y=650~~~~~~~~~~.........................(i)[/tex]

The return trip takes 5 hours against the wind.

This means, an airplane takes 5 hours to travel a distance of 2600 miles against the wind.

[tex]\Rightarrow x-y=\frac{2600}{5}\\\\ \Rightarrow x-y=520~~~~~~~~~~............................(ii)[/tex]

From equation (ii),

x = 520 + y ........................(iii)

Substitute this value in equation (i),

⇒ (520 + y) + y = 650

⇒ 2y = 650 - 520

⇒ 2y = 130

⇒ y = 65 mph

Substitute the value of y in equation (iii),

⇒ x = 520 + y

⇒ x = 520 + 65

⇒ x = 585 mph

Therefore, the speed of the plane in still air = 585 mph

and the speed of the wind = 65 mph

Learn more about the speed here:

https://brainly.com/question/7359669

#SPJ3

Related Questions

a group of 4 students are selling candy bars to raise money for a field trip. the group needs to sell 53 candy bars. if each student sells an equal amount, how many candy bars do they get in all? interpret your remainder

Answers

You have to divide 53 with 4 students making them each get 13 bars each

Answer:

Each student is gonna sell 13 candy bars, and there is gonna be 1 bar unsold, because they sold equal amount of candy bars.

Step-by-step explanation:

If there are 4 students, they need to sell 53 candy bars, and they will sell the same amount each one, we just have to divide:

[tex]\frac{53}{4} =13.25[/tex], or [tex]13\frac{1}{4}[/tex]

Because the division is not exact, we have a remainder of 1.

This can be interpreted as 1 candy is not sold, because they are gonna sell equally, so in that case each one would sell 13 candy bars, and one will be unsold.

Alan had 2 mirrors installed in his house.The first mirror was 2 yards and 2 3rds yards wide the second mirror was 2 yards tall and 3 2 halfs wide. Is the area of the first mirror greater than or less than 2 square yards?Explain

Answers

Less because l don't be yelling at me what's wrong wit you.

What is the answer????

Answers

No, because there is no number between 0 and 1.

I think thats the answer but im not sure

what is the value of y in the something to the system of equations

Answers

my best guess would be is that the value is 1 because if there is nothing it is just 1

Which of the following best describes the US government?

A. Executive rule

B. Representative democracy

C. Direct democracy

D. Dictatorship

Answers

It would be B. Because we elect who goes to office, they represent are decision making

2 more than k is greater than -3 as an inequality

Answers

the inequality "2 more than k is greater than -3" can be represented as:[tex]\[ k + 2 > -3 \][/tex]

To translate the phrase "2 more than k is greater than -3" into an inequality, we can follow these steps:

1. Identify the expression "2 more than k."

2. Write the expression as an inequality where it is greater than -3.

Step 1: "2 more than k" translates to (k + 2).

Step 2: Since "2 more than k" is greater than -3, we write the inequality:

[tex]\[ k + 2 > -3 \][/tex]

So, the inequality "2 more than k is greater than -3" can be represented as:[tex]\[ k + 2 > -3 \][/tex]

if b is between a and c find the value if x and bc when ab=3x bc=5x and ac=8

Answers

ab + bc = ac

3x + 5x = 8

8x = 8

x = 1 is value of x

To find the length of bc substitute 1 for x

ab = 5 ( 1)

ab = 5

The value of x is 1, and the length of segment BC is 5 units.

If point B is between points A and C, then we can use the segment addition postulate to relate the lengths of segments AB, BC, and AC.

According to the segment addition postulate, the sum of the lengths of two segments that form a larger segment is equal to the length of the larger segment. In this case, we have:

AB + BC = AC

We're given that AB = 3x, BC = 5x, and AC = 8. Substituting these values into the equation:

3x + 5x = 8

Combine like terms:

8x = 8

Now, divide both sides by 8 to solve for x:

x = 8 / 8

x = 1

So, x is equal to 1.

Now that we know the value of x, we can find the length of segment BC:

BC = 5x

BC = 5 * 1

BC = 5

for such more question on length

https://brainly.com/question/20339811

#SPJ2

8 - 1/3x = 16
PLEASE ANSWER ITS DUE TOMORROW

Answers

X = 8/(-1/3) therefore the answer is -24

An architect is designing a house in which a 104 square foot room and a 130 square foot room share a wall what is the greatest possible integer length of the shared wall -- THIS QUESTION WAS ASKED AND ANSWERED. BUT ANSWERED INCORRECTLY. NOTE THE ANSWER GIVEN CHANGED THE DIMENSIONS TO 140 FROM 104. AND THIS WEBSITE WILL NOT ALLOW ME TO REPORT THAT.

Answers

Both rooms share a common side whose dimension is unknown. Call it x.

Then, the area of both squares have x as common factor.

So, x is the greatest common factor of 104 and 130.

You should know how to calculate the greatest common factor of two integers.

Just find the prime factors and choose the common factors raised to the lowest exponent.

104 = (2^3) (13)

130 = (2) (5)(13)

=> the greatest common factor is 2 * 13 = 26, and that is the greatest possible integer length of the shared wall.

Answer: 26

what is 6 to the negative 1 times (-2) to the third power times (-4) to the negative 2

Answers

The answer is: [tex] \frac{1}{12} [/tex] .
____________________________________________
Explanation:
____________________________________________
We have: " 6⁻¹ * (-2)³ * (-4)⁻² = ? " ;
_______________________________________
Note: "6⁻¹ = [tex] \frac{1}{6^1} [/tex] = [tex] \frac{1}{6}[/tex] " .

Note the following property of exponents:
____________________________________
a⁻ˣ = [tex] \frac{1}{x^a} [/tex] ; {x ≠ 0}.
____________________________________________
Note: (-2)³ = (-2)*(-2)*(-2) = 4*(-2) = -8 .
_______________________________________
Note: (-4)⁻² = [tex] \frac{1}{(-4)^2} [/tex] ;

= [tex] \frac{1}{(-4)*(-4)} [/tex] ;

= [tex] \frac{1}{16} [/tex] ;
____________________________________
So; we have:
_____________________________________
6⁻¹ * (-2)³ * (-4)⁻² ;

= [tex] \frac{(1*8*1)}{(6*16)} [/tex] ;

→ Cancel out the "8" in the "numerator" (to a "1") ; and the "16" in the number (and change to a "2"); since: {"16÷8 = 2" ; and since: "{8÷8=1"} ;

→and we have:

[tex] \frac{(1*1*1)}{(6*2)} [/tex] ;

= [tex] \frac{1}{12} [/tex] .
_____________________________________
→ The answer is: [tex] \frac{1}{12} [/tex] .
_____________________________________

Nissa reads 1 pages in 1 minute. How many pages can Nissa read in 5.2 minutes? a.1.75
b. 3.45
c. 5.2
d.9.1

Answers

The answer is c.) 5.2 pages

C 5.2 is the correct answer.

Help me please please

Answers

Since 4 5/6, 5 1/5,and 4 11/12 all round to 5, your answer is 5 6/7. 5 6/7 round up to 6.

Hope this helps!

Recipe A makes 5 dinner rolls using 1 c of flour. Recipe C makes 45 rolls using 10 c of flour. Which recipe requires the most flour per roll?

Answers

Okay. Basically, what we have to do here is is the amount of flour per roll, which requires dividing cups of flour by the number of rolls. 1/5 is 0.2 or 1/5 in simplest form. Recipe A uses 1/5 cup of flour per roll. 10/45 is 0.2222 and an infinite number of 2's behind it or 0.22 when rounded to the nearest hundredth. Recipe C uses about 0.22 cups of flour per roll. 0.22 > 0.2, so recipe C uses the most flour per roll.

Final answer:

When calculating how much flour is used per roll in each recipe, recipe C (at 0.22 cups per roll) uses more flour per roll than recipe A (at 0.2 cups per roll).

Explanation:

To determine which recipe uses the most flour per roll, we first need to calculate the flour-per-roll for each recipe. For recipe A, it makes 5 dinner rolls using 1 cup of flour. So, the flour-per-roll for recipe A is

1 cup of flour ÷ 5 rolls = 0.2 cups per roll

. For recipe C, it makes 45 rolls using 10 cups of flour. So, the flour-per-roll for recipe C is

10 cups of flour ÷ 45 rolls = 0.22 cups per roll

. Comparative analysis shows that recipe C requires more flour per roll than recipe A.

Learn more about Comparative Analysis here:

https://brainly.com/question/34502842

#SPJ2

The number z and −1.9 are additive inverses.

Drag and drop −1.9 and z to their correct positions on the number line.

Drag and drop the label “Sum” to the sum of −1.9 and z.

Answers

Final answer:

For z and -1.9 to be additive inverses, they must sum up to zero. Consequently, z should be 1.9, and both -1.9 and z (=1.9) placed on a number line would reflect their locations relative to zero. The sum of -1.9 and 1.9 would equal zero.

Explanation:

In Mathematics, additive inverses are two numbers that add up to give zero. If the numbers z and -1.9 are additive inverses, this means that when added together, they produce the sum of zero. Therefore, z should be the opposite of -1.9, 1.9 on the number line.

The number -1.9 would appear on the left-hand side of the zero because it is a negative number. The number z (=1.9) would appear on the right-hand side of the zero because it's positive. According to the definition of additive inverses, the sum of these two numbers (-1.9 and 1.9) would be zero. So, 'Sum' would also be zero on the number line.

Learn more about Additive Inverses here:

https://brainly.com/question/17353091

#SPJ2

what is the unit rate for 9 pages in 3 hours

Answers

Divide both the top and bottom by 3.

3 pages in 1 hour is the answer.

Hope this helps!

3 pages per hour. 3/1

How do I write this number in scientific notation 0.0072

Answers

7.32 x10^-3 pled mark me bran

Move the decimal so there is one non zero digit to the left of the decimal point. The number of decimal places you move will be the exponent. If the decimal is being moved to the left, it will be positive. If it is being moved to the right, it will be negative.

Hope this helps

If its not too much trouble it would mean a lot if I could have brainliest because I have a BIG unit test coming up and I really need points so I can ask questions. :)

find a perimeter of a rectangle with a length of 665 feet and width of 421 feet. Draw your model and solve.

Answers

Well the formula for the perimeter of a rectangle is 2w+2l
w=width
l=length
So it is 2(665)+2(421)=2172

The answer is 2172 feet.

he graph of the function f(x) = –(x + 6)(x + 2) is shown below.

Answers

See attachment although I gather this is not your question. I did the graph(s) for the function,

Answer:

Which statement about the function is true?

⇒ The function is increasing for all real values of x where

x < –4.

12.75 is 25% of what number

Answers

I think the answer is 51

The number that would have 12. 75 being 25 percent of it would be 51.

How to find the number ?

To find the number of which 12. 75 is 25 %, you can set up a proportion and solve for the unknown number ( let's call it " x ").

You can write the proportion as:

( 25 / 100 ) * x = 12. 75

Now, simplify the left side of the equation:

( 1 / 4 ) * x = 12.75

To solve for x, multiply both sides by 4 to isolate x:

x = 12. 75 * 4

x = 51

So, 12. 75 is 25% of the number 51.

Find out more on unknown number at https://brainly.com/question/20964589

#SPJ3

Your football team gained 4 yards on first down and 2 yards on second down during its last possession. Which number is the additive inverse of the yards gained?

Answers

Final answer:

The additive inverse of 6 yards (4 yards on first down and 2 yards on second down) is -6 yards. A yard is a unit of length equal to 3 feet and is an SI Base Unit standard used in football.

Explanation:

The student is asking about the additive inverse of the yards gained in a football game. The additive inverse of a number is a number that, when added to the original number, will result in zero. In this case, the football team gained 4 yards on first down and 2 yards on second down, making a total of 4 + 2 = 6 yards. Therefore, the additive inverse of 6 yards is -6 yards because 6 + (-6) equals zero.

When considering SI Base Units, a yard is a unit of length equal to 3 feet. This is a predefined standard used internationally, and especially relevant in football, where moving the ball 10 yards results in a first down. This standardization ensures clarity and uniformity in the game, regardless of the location.

Pls Answer!!!!!
The following graph shows the number of soccer games a team won in each of their first three seasons. Explain how you could redraw the graph so that the change in wins between the three Seasons does not seem so great.

Answers

To redraw the graph so the change in wins between the three seasons does not seem so great we use a bigger scale.

In the gragh that is shown, the scale used is 1 grid unit to represent 1 goal, if we may change the scale to something like 1 grid unit to represent 2 goals or 1 grid unit to represent 3 goal, then the change in wins between the three seasons will not seem so great

Danielle earns a 7.25% commission on everything she sells at the electronic store where she works,.she also earns a base salary of $750 per week .how mcuh did she earn last week if she sold 4,000 in electronics merchandice?

Answers

29,750 is the answer for the problem

First, let's create an equation for this problem. Remember 7.25% = 0.0725
($4,000 × 0.0725 + $4,000 ) + $750

Now, all you have to do is solve it. You would start in the parenthesis using the order of operation (PEMDAS).
($4,000 × 0.0725 + $4,000 ) + $750
$4290 + $750 = $5,040

Danielle made $5,040 last week.

I hope this helps!

the manager of a store specializes in selling tea decides to experiment with a new blend. She will mix some Earl Green tea that sells for $4 per pound with some orange pekoe that sells for $2 per pound to get 400 pounds of the new blend. The selling price of the new blend in $3.50 per pound and there is to be no difference in revenue from selling the new blend versus selling the other types. how many pounds of tge earl grey tea and orange pekoe tea are required

Answers

Final answer:

To find out how many pounds of Earl Grey tea and Orange Pekoe tea are required to make 400 pounds of the new blend, set up a system of equations based on the given information. Solve the equations to find the values of x and y.

Explanation:

To find out how many pounds of Earl Grey tea and Orange Pekoe tea are required to make 400 pounds of the new blend, we can set up a system of equations based on the given information.

Let x be the number of pounds of Earl Grey tea, and let y be the number of pounds of Orange Pekoe tea.

We know that the selling price of the new blend is $3.50 per pound, and there is to be no difference in revenue from selling the new blend versus selling the other types.

This means that the revenue from selling the Earl Grey tea and Orange Pekoe tea separately should be the same as the revenue from selling the new blend.

The revenue from selling the Earl Grey tea is 4x, and the revenue from selling the Orange Pekoe tea is 2y. So we have the equation 4x + 2y = 3.50 ×400.

We also know that the total weight of the new blend is 400 pounds, so we have the equation x + y = 400.

We can solve these two equations to find the values of x and y.

math question answer a b and c hurry answer each one

Answers

a. let the distance be d
so we have Δd/Δt=8.8min
Δd= 8.8Δt
d=∫8.8Δt-------(1)

b. d should be positive because the diver is ascending at a positive rate relative to depth

c. d=rt
t=d/r = 32.12/8.8 min
t= 3.65min

b) You cannot travel a negative distance. For example, if you are walking, you cannot walk a negative amount.

c) About 3 minutes and 39 seconds = 3.65 minutes

May I have some help?

Answers

For whatcha problem hun

When would you use a drawing of comparison bars for word problem

Answers

Answer: Comparison bars are a display tool for solving the scenario in which two elements are compared with the difference is either known or unknown.

There are three kinds of use of comparison bars in word problem such as 1) If difference is unknown then A-B=Difference[where A -bigger quantity, B-smaller quantity]. 2) If bigger quantity is unknown then A=Difference-B 3) If smaller quantity is unknown then B=Difference-A.

Final answer:

A drawing of comparison bars, also known as a bar graph, can be used in word problems when there is a need to compare different entities or categories. It is particularly useful in situations where quantitative data needs to be visually represented and compared. For example, if you are given data about the sales of different types of fruits in a grocery store, you can use a bar graph to compare the sales of each fruit.

Explanation:

Here are the steps to create a drawing of comparison bars for a word problem:

Identify the entities or categories that need to be compared. For example, if you are comparing the sales of different types of fruits, your categories would be the types of fruits (e.g. apples, bananas, oranges).Assign a numerical value or quantity to each entity or category. In the example of fruit sales, you would assign a value to each type of fruit based on their sales.Draw a horizontal axis and label it with the categories or entities.Draw a vertical axis and label it with the numerical values or quantities.For each category or entity, draw a bar of the corresponding height on the graph. The height of each bar should represent the numerical value or quantity assigned to that category or entity.Add appropriate labels and a title to the graph to provide context and clarity.

Learn more about Comparison bars here:

https://brainly.com/question/1944979

#SPJ3

Given the following linear function sketch the graph of the function and find the domain and range f (x) =-5x+4

Answers

Both the domain and range of this function are all real numbers.

The two things that typically limit a domain are dividing by zero and taking the square root of a negative. Since this function does not have a square root or a denominator, then you must be able to use all real numbers.

Three fourths of w plus 5 is one half of a increased by nine. I neeed to turn into an equation!

Answers

(3/4) w+5 = (1/2) a+9

What is the difference between congruent and similar images

Answers

In a congruent triangle, sides and/or angles have to be the same

In a similar triangle, they have to be proportional

hope this helps

Congruence and similarity may be thought the same, but they are actually very different. If an image is congruent with another, then they are exactly the same, with not a single thing that is different between them. They are identical. If two images are similar, then they aren't congruent. There may be some differences between the two, but not big enough change the way you view the image.

the monthly fees for single rooms at 5 colleges are $370, $310, $380, $340, and $310 respectively. what is the mean if these monthly fees?

Answers

To find the mean, you add up all the prices which would get you 1710, then divide it by how much numbers you added, so in this case, 5. 1710/5 is 342 so the mean is 342 dollars.

The mean value of the data $370, $310, $380, $340, and $310 will be $342.

What is Mean?

The mean is the straightforward meaning of the normal of a lot of numbers. In measurements, one of the markers of focal propensity is the mean.

The monthly fees for single rooms at 5 colleges are $370, $310, $380, $340, and $310 respectively.

The normal is alluded to as the number-crunching mean. It's the proportion of the number of genuine perceptions to the absolute number of perceptions.

The mean is given as,

Mean = (Sum of the observation) / (Total number of the observation)

The sum of the observation will be

Sum of the observation = $370 + $310 + $380 + $340 + $310

Sum of the observation = $1,710

The total number of the observation will be

Total number of the observation = 5

Then the mean of the data will be

Mean = $1,710 / 5

Mean = $342

Thus, the mean value of the data $370, $310, $380, $340, and $310 will be $342.

More about the mean link is given below.

https://brainly.com/question/521501

#SPJ2

Other Questions

Find 10-3 write the substraction fact two ways Bart orders 20,000 class a widgets from salvatore. salvatore promptly ships to bart 20,000 class b widgets instead. under the ucc, the salvatore has: You buy a movie for 19.99 and a set of earphones for 12.49 how much is the bill before taxes A tissue in a mouse contains two types of cells: one that divides rapidly and one that divides more slowly. the most likely difference between these two cell types is that the slow-dividing cell type spends more time in _______ phase. In 1995, 57.5% of students at gardiner university graduated in 4 or fewer years of study. in 2009, that number had fallen to 52.8%. what was the rate of change for percent of students graduating within 4 years from 1995 to 2009 I was a merchant, statesman, and prominent leader of the american revolution. i served as president of the second continental congress and as the first governor of the commonwealth of massachusetts. i am distinguished by my stylish signature on the declaration of independence. which founding father am i? For the data shown in the scatter plot, which is the best estimate of r? -0.95, -0.55, 0.55, 0.95 is it possible that freedom to use hand, after assuming an upright bipedal posture, resulted in certain skills that led to the development of a language? to what does she compare rituals?in the story rituals of metaphor A 25-foot-long footbridge has two diagonal supports that meet in the center of the bridge. Each support makes a 65 angle with a short vertical support. How many moles of lif are contained in 258.6 ml of 0.0296 m lif solution? What happens to ammonia when it isnt taken up by plants? Which type of pacemaker discharges impulses at a single, steady rate, regardless of the heart's own electrical activity? Which quantity is proportional to 153? What fluid, with a very high osmolarity, was used in part 2 of the paper chromatography experiment? why is this important? why is it essential to keep it cool? 42-24 divide 6 ; value 3 The pancreas, an organ present in certain animals, produces enzymes used elsewhere in in the animals' digestive systems. which cell structure(s) might produce those enzymes? What two kind of appeals do these courts agree to hear Men are ________ as likely as women to be portrayed as problem-solvers in television programs. The sales tax rate for a local county is 8.4%. If an item costs $391 (before tax), how much sales tax will be due? Steam Workshop Downloader