A flying carpet flies 2.4 miles with the wind in the same amount of time it flies 1.4 miles against the wind. The wind speed is 4 mph. What is the speed of the flying carpet in still air?

Answers

Answer 1

Answer:

[tex]15.2~mph[/tex]

Step-by-step explanation:

Let the time flown by the flying carpet be [tex]t[/tex]. Then, we have that [tex](2.4)/t=(1.4)/t+2*4[/tex].

We multiply both sides of the equation by [tex]t[/tex] to get [tex]2.4=1.4+8t[/tex].

We subtract [tex]1.4[/tex] from both sides to get [tex]1=8t[/tex].

We divide both sides of the equation by [tex]t=1/8[/tex].

We know that the speed of the flying carpet in still wind is the average of the rates of the speed of the flying carpet with the wind and against the wind.

The speed with wind is [tex](2.4)/(1/8)=19.2[/tex]mph.

The speed against wind is [tex](1.4)/(1/8)=11.2[/tex]mph.

The speed in still wind is [tex](19.2+11.2)/2=(30.4)/2=15.2[/tex].

Therefore, the answer is [tex]\boxed{15.2~mph}[/tex] and we're done!

Answer 2

The speed of the flying carpet in still air is 15.2 mph

Let x represent the speed of the flying carpet in still air, and t represent the time.

Speed = distance/time

Since the wind speed is 4 mph, hence:

When flying with the wind:

x + 4 mph = 2.4/t     (1)

When flying against the wind:

x - 4 mph = 1.4/t     (2)

Dividing equation 1 by 2 gives:

(x + 4) / (x - 4) = 2.4/1.4

1.4x + 5.6 = 2.4x - 9.6

x = 15.2 mph

The speed of the flying carpet in still air is 15.2 mph

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Related Questions

1,2,2,4,3,6,4,____,____,10,____
Continue the pattern

Answers

Answer:

1,2,2,4,3,6,4,__8__,_5___,10,__12__

Step-by-step explanation:

Hope this helps :)

My question is what is -5+12+-3+-10+14

Answers

Answer:

its 8

Step-by-step explanation:

I just calculated it and got the answer

Donna is going to swim 19 laps. She completed 12 laps what fraction of her swim remains?

Answers

Answer:

7/19 laps

Step-by-step explanation:

She has 19 total laps to do so you know that the denominator is 19.

She already completed 12 laps so that means she has 7 laps left out of the 19 total laps because 19-12= 7

Make a tree diagram to show all the possible sequences of answers for six multiple-choice questions, each with three possible responses. Assuming that you are guessing the answers so that all outcomes listed in the tree are equally likely, what is the probability that you will guess the one sequence that contains all six correct answers? (Round your answer to five decimal places.)

Answers

Answer:

Steps and solution in the attached picture.

Step-by-step explanation:

Steps and solution in the attached picture.

Based on the information given, the probability that all three are correct will be 0.0000217.

How to calculate the probability

From the information given, there are six multiple-choice questions, each with three possible responses.

If an individual is guessing the answers so that all outcomes listed in the tree are equally likely, the probability that the person will guess the one sequence that contains all six correct answers will be:

A = correct answer = 1/6

B = incorrect answer = 1 - 1/6 = 5/6

The probability of guessing the correct answer will be:

= 1/6 × 1/6 × 1/6 × 1/6 × 1/6 × 1/6

= 0.0000217

Learn more about probability on:

brainly.com/question/25870256

PLEASE HELP ME 10 POINTS!

Answers

- 17/12 should be the answer.

4/10

I'm not 100% sure though

What are the domain and range of each relation?

Drag the answer into the box to match each relation.

Answers

The domain and the range of each relation shown in the mapping and in the table of values given can be written as:

Mapping - Domain: {-2, -1, 0, 1}; Range: {-4, -2, 2}

Table - Domain: {-4, -2, 1, 4}; Range: {-2, 1, 4}

(See image attached below).

Recall:

The domain (input) of any relation consist of all the x-values.The range (output) of any relation consist of all its y-values.

From the mapping shown in the image given, the domain values are:

-2, -1, 0, 1

The range values are:

-4, -2, 2

From the table of values shown in the image given, the domain values are:

-4, -2, 1, 4

The range values are:

-2, 1, 4

Therefore, the domain and the range of each relation shown in the mapping and in the table of values given can be written as:

Mapping - Domain: {-2, -1, 0, 1}; Range: {-4, -2, 2}

Table - Domain: {-4, -2, 1, 4}; Range: {-2, 1, 4}

(See image attached below).

Learn more here:

https://brainly.com/question/5687716

If varies directly as y and y = 15 when = 25. If = 155 then y is​

Answers

Answer:

y = 93

Step-by-step explanation:

I assume the other variable is x.

"If x varies directly as y and y = 15 when x = 25. If x = 155 then y is​"

Direct variation:

x = ky

25 = k * 15

k = 25/15

k = 5/3

The direct variation equation is

x = (5/3)y

155 = (5/3)y

y = 155 * 3/5

y = 93

help asap , 40 points worth ...

Robin has a collection of dimes, nickels and quarters. He has 4 times as many dimes as
nickels. He has 20 more quarters than nickels. The ratio of the number of dimes to the
number of quarters is 3:2. Which equation can be used to calculate the number of nickels,
n, Robin has?

Answers

Answer: Robin has 50 nickels, 60 dimes, and 120 quarters

Write an equation of the line that passes through the given point and has the given slope.
(1,-5); slope -3/2

Answers

Answer:

y – y 1 = m ( x – x 1 ) m = your slope ( x 1 , y 1 ) = your point y – ( − 5 ) = − 3 2 ( x – 1 ) y + 5 = − 3 2 ( x – 1 ) Now we need to do a little algebra to get the equation in standard form: A x + B y = C , where A, B and C are relatively prime integers. y + 5 = − 3 2 x + 3 2 3 2 x + y = 3 2 − 5 now let's multiply through with 2 to get rid if the fractions: 2 ( 3 2 x + y = 3 2 − 5 ) 3 x + 2 y = 3 − 10 3 x + 2 y = 7

Step-by-step explanation:

Caleb rode his bike for 3.1 miles in the morning. Then he rode his
bike another 22 miles in the afternoon. How many miles did Caleb
ride all together? Draw an arrow on the number line to show how
to find the answer. Then write the answer below.

Answers

Answer:

3.1 + 22 = 25.1

Step-by-step explanation:

The amount of miles Caleb rode all together:
3.1 + 22 = 25.1
ANSWER: 25.1 miles

The label of a bag of trail mix says it has 180calories per 15ounces. What is the rate of calories per ounce?

Answers

Answer:

12calories per 1ounce

Step-by-step explanation:

need help on this as soon as you can please

Answers

Answer:

x+5

Step-by-step explanation:

4x -3x= 1x or x

115-110= 5

x+5

X+5=8x-6 solve for x

Answers

Hello!

x+5=8x-6

Move all the variables to the left:

x-8x=-6-5

-7x=-11

Divide both sides by -7:

x=11/7

Hope this helps! :)

~Just a joyful teen

[tex]GraceRosalia :)[/tex]

Answer:

x=11/7

Step-by-step explanation:

x+5=8x-6

- x from both sides

5=7x-6

+ 6 to both sides

11=7x

÷ both sides by 7

11/7=x

find f(x)•g(x)

pls helpppp

Answers

Answer:this is the answer of the question like at it

Solve for x.
A. 19.25
B. 14
C. 10
D. 6.5

Answers

Answer:

I think it is C

Step-by-step explanation:

help please thank you

Answers

the answer of this question is B

I need help with this please

Answers

Answer:

5

Step-by-step explanation:

4x5+12=32mm

The sum of the measures of the angles of a triangle is 180. The sum of the measures of the second and third angles is three times the measure of the first angle. The third angle is eleven more than the second. Find the measures (in degrees) of the three angles. (Simplify your answers completely.)

Answers

Answer: m<2 = 62 m<3=73 m<1=45

Step-by-step explanation:

m<2+m<3 =3(m<1)

m<3 = m<2+11

m<2+m<2+11=3(m<1)

2(m<2)+11=3(m<1)

m<1=2/3(m<2)+11/3

m<1+m<2+m<3 = 180

2/3(m<2)+11/3+(m<2)+m<2+11=180

8/3(m<2)+44/3=540/3

8/3(m<2)=496/3

(496/3)*3/8=62

how do you solve m + 1 = 17

Answers

Answer:

17²

Step-by-step explanation:

(1+m)1+16=17²(1+1=2)=17²

Step-by-step explanation:

(1+m) 1+16=17

(1+16=17

Which inequality pairs with ys-2x-1 to complete the
system of linear inequalities represented by the graph?
O y<-2x+2
O y>-2x+2
O y<2x-2
O y>2x-2

Answers

Answer:

the answer is the last option, y > 2x-2

The system of linear inequalities y ≤ -2x - 1 and y > -2x + 3 is represented by the graph

Inequality

Inequality is an expression that shows the non equal comparison of two or more numbers and variables

Given the inequalities y ≤ -2x - 1 and y > -2x + 3, plotting the two inequalities using the geogebra online graphing tool.

The system of linear inequalities y ≤ -2x - 1 and y > -2x + 3 is represented by the graph

Find out more on Inequality at: brainly.com/question/24372553

PLEASE HELPP I GIVE BRAINLIEST AND 30 POINTS PLEASEEEE

Answers

Answer:

30ft because that elevation is 30 feet away from sea level (meaning 0ft in elevation)

and farther away than 12 or 2 feet

Answer:

-12 feet,

30 feet

hope this helped! :)

Step-by-step explanation:

Find the future value for the ordinary annuity with the given payment and interest rate.
PMT = $2,000; 1.15% compounded monthly for 2 years.

Answers

Answer:

Step-by-step explanation:

M = C( 1+i) ²

M = 2000(1+0,0115)² = $2046,2645

60 POINTS!!!!! IM ON QUESTION 3, PLZ GIVE ME EXPLAINATION TO BASED ON THE LONG DIVISION!!!!!!!! (circled in red) USE THE CHART TOO
PLZ ANSWERRRRRRR
people i see u hre so plz answer TmT

Answers

9514 1404 393

Answer:

  3. Asia Gil

Step-by-step explanation:

You should be able to answer question 3 without any math whatsoever. The average amount of the bills will be a number between the highest and the lowest. As you found, it is $23.39.

The question is, "Who will save the most by paying the average amount?" Quite obviously it will be the person who would otherwise pay the most--the person with the highest bill amount: Asia Gil.

_____

Equally obvious, the person penalized the most by sharing the bill is the one who had the lowest bill--the amount farthest below the average: Charlie Cobs.

Mrs. Neville is baking 5 batches of cookies. She will need 2 1/3 cups of flour for each
batch of cookies. If she begins with a bag of flour that contains 20 cups, how many cups
of flour will be left in the bag? (Show work on your paper)

Answers

Answer:

8.33 cups of flour

Step-by-step explanation:

In order to find the answer to this question you need to multiply the amount of batches by the amount of flour it takes to make that batch and then just simply make sure the answer is a mixed number.

[tex]2\frac{1}{3} \times5[/tex]

Convert the mixed number into a improper fraction:

[tex]2\frac{1}{3} =2\times3=6+1=\frac{7}{3}[/tex]

[tex]\frac{7}{3} \times5[/tex]

Remember that all whole numbers have a invisible denominator:

[tex]5=\frac{5}{1}[/tex]

[tex]\frac{7}{3} \times\frac{5}{1}[/tex]

Multiply:

[tex]7\times5=35[/tex]

[tex]3\times1=3[/tex]

Now subtract from 20 cups:

[tex]\frac{20}{1} -\frac{35}{3}[/tex]

Find the common denominator

CD = 3

20 1 - 35 3 = (20 × 3) + (35 × 1) 1 × 3 = 60 - 35 3 = 25 3 = 8.33

[tex]=8.33[/tex]

Hope this helps.

What is the height of a triangle that has an area of 24 in.2 and a base with a length of 8 in.?

Answers

Answer:⬇️⬇️⬇️⬇️

Step-by-step explanation: Area of a triangle = ½base times height⇒ A = ½bh

Given that the area is 24 and the base is 8, we would have this equation

24 = ½(8)h

24 = 4h divide both sides by 4

6 = h So the height of the triangle is 6 feet

CHECK

A = ½bh

24 = ½(8)(6)

24 = 4(6)

24 = 24√

Pls help. Pls pls pls

Answers

Answer:

idj

Step-by-step explanation:

hope this helps

A rectangle with a total of 64 square centimeters has been broken into two rectangles with
areas of 40 square centimeters and 24 square centimeters as shown. The common length of
the two smaller rectangles is a whole number that is greater than either width 1 or width 2,
which are both whole numbers. From this information, determine the length, width 1, and
width 2. Explain how you found your answers.
width 1 width 2
length
40 sq. cm
24 sq. cm

Answers

Answer:

Step-by-step explanation:

40 times 24

A cylinder oil tank 8 foot deep hole it’s 580 gallons Winfield to capacity how many gallons remain in the tank on the depth of oil is 6 1/2 feet

Answers

Answer:

253.75

Step-by-step explanation:

Total height of the cylinder is  8 ft . Since the tank holds 580 gallons when filled to capacity so in 1 ft height there will be  \frac{580}{8}  gallons oil when filled to capacity .

What is the value of x?
34
146
56
68
34

Answers

Answer:

34 ° is the answer as vertically opposite angles are equal

Solve for y
13.5
12
9
10.5

Answers

the answer is 9 because I did the math

Answer:

y = 9

Step-by-step explanation:

1. We know that the line the angles fall on is a straight angle, meaning it's worth 180°.

2. Given the information above, 8y + 96 + 12 = 180.

3. (Solving equation above).

Step 1: Simplify both sides of the equation.

[tex](8y)+(96+12)=180[/tex] [tex]8y + 108=180[/tex]

Step 2: Subtract 108 from both sides.

[tex]8y + 108 - 108 = 180 - 108[/tex] [tex]8y = 72[/tex]

Step 3: Divide both sides by 8.

[tex]\frac{8y}{8}=\frac{72}{8}[/tex] [tex]y = 9[/tex]

Step 4: Check if solution is correct.

[tex]8(9)+96+12=180[/tex] [tex]72+96+12=180[/tex] [tex]168+12=180[/tex] [tex]180=180[/tex]

Therefore, y = 9.

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