A plane traveled 696 miles each way to New York City and back. The trip there was with the wind. It took 6 hours. The trip back was into the wind. The trip back took 12 hours. What is the speed of the wind?

A. Wind is 29 mph
B. Wind is 87 mph
C. Wind is 46 mph
D. Wind is 15 mph

Answers

Answer 1

Answer: A. Wind is 29 mph

Step-by-step explanation:

We can define:

Sp = speed of the plane

Sw = speed of the wind.

When the plane travels in the same direction that the wind flows, we can write the total speed as:

S = Sp + Sw

And when the plane travels against the flow of the wind, we can write:

S = Sp - Sw.

Now, we have the relation:

Distance = Speed*Time.

We know that:

Distance = 696 mi.

"The trip there was with the wind. It took 6 hours. "

then:

696mi = (Sp + Sw)*6h

"The trip back was into the wind. The trip back took 12 hours."

696mi = (Sp - Sw)*12h.

Then we have the system of equations:

696mi = (Sp + Sw)*6h

696mi = (Sp - Sw)*12h.

First, let's isolate one of the variables in one of the equations, i will isolate Sp in the first eq:

696mi/6h = Sp + Sw

116 mph - Sw = Sp.

Now we can replace this into the other equation:

696mi = (116mph - Sw - Sw)*12h

Let's solve this for Sw, that is the value that we want to find:

696mi/12h = (116mph - 2*Sw)

58mph - 116mph = -2*Sw

-58mph/-2 = Sw = 29mph.

The correct option is A.


Related Questions

9–5(x+4)=3(2–x) heeelppp. btw answer not 12

Answers

This is what i got -17/2

Answer:

9-5[x+4] = 16 , 3[2-x] = 3

Step-by-step explanation:

What is the value of 3-(-2)?
5 4 3 -2 -1 0 1 2 3 4 5
A -5
B -1
C 1
D 5

Answers

Answer:

D

Step-by-step explanation:

well the 2 negative becomes a plus so it is really

3+2=5



The formula for the speed of a tsunami in deep water is v=gh−−√ , where g is acceleration due to gravity, 9.8 m/s2 , and h is the depth of the ocean in meters. Use this formula to estimate the speed at which the tsunami that started with an earthquake in Sumatra struck Sri Lanka about 1550 km away. The Bay of Bengal is 4 km (4000 m) deep.

Answers

Answer:

v = 200 m/s

Step-by-step explanation:

The formula for the speed of a tsunami in deep water is given by :

[tex]v=\sqrt{gh}[/tex]

Here,

g is acceleration due to gravity

h is the depth of the ocean in meters.

We need to find the speed at which the tsunami that started with an earthquake in Sumatra struck Sri Lanka about 1550 km away. The Bay of Bengal is 4 km (4000 m) deep.

It means we need to find v if h = 4000 m

So,

[tex]v=\sqrt{10\times 4000}\\\\v=200\ m/s[/tex]

So, the speed of the tsunami is 200 m/s.

Please answer this geometry proof as soon as possible!

Answers

Answer:

In order to get an answer you have to post a question.

Step-by-step explanation:

Maggie’s brother is 3 years younger than four times her age the sum of their ages is 27

Answers

well i think maggie would be 6

Step-by-step explanation:

6•3=18

18-4=14

14+6=20

Answer:

[tex]\huge\boxed{\text{Maggie = 6 years, Brother = 21 years}}[/tex]

Step-by-step explanation:

We can create two equations based on the word problems, where [tex]m[/tex] is Maggie's age and [tex]b[/tex] is her brother's age.

[tex]m + b = 27[/tex]

[tex]b = 4m - 3[/tex]

We can now substitute [tex]4m-3[/tex] in as [tex]b[/tex] into [tex]m+b=27[/tex].

[tex]m + (4m-3) = 27\\\\5m - 3 = 27\\\\5m = 30\\\\m = 6[/tex]

Now that we know the value of [tex]m[/tex], we can substitute it into [tex]m+b=27[/tex].

[tex]6 + b = 27\\\\b = 27-6\\\\b = 21[/tex]

Hope this helped!

-1 1/5 + -3/5 in simplest form

Answers

Answer:

-1 4/5

Step-by-step explanation:

In mathematics, a fraction is a number that represents a part of a whole. It consists of a numerator and a denominator. The numerator represents the number of equal parts of a whole, while the denominator is the total number of parts that make up said whole. For example, in the fraction 3  5, the numerator is 3, and the denominator is 5. A more illustrative example could involve a pie with 8 slices. 1 of those 8 slices would constitute the numerator of a fraction, while the total of 8 slices that comprises the whole pie would be the denominator. If a person were to eat 3 slices, the remaining fraction of the pie would therefore be 5  8 as shown in the image to the right. Note that the denominator of a fraction cannot be 0, as it would make the fraction undefined. Fractions can undergo many different operations, some of which are mentioned below.

Which equation has a solution of x = 9? A. 5x=45 B. 2x=20 C. 4+x=12 D. x+7=26

Answers

Answer:

A. 5x = 45

Step-by-step explanation:

To check, substitute 9 for x in each equation.

A. 5*9 = 45

B. 2*9 ≠ 20

C. 4 + 9 ≠ 12

D. 9 +7 ≠ 26

23,579
38,743
65,559
+66.559

Answers

Answer:

194,440 or 127,947.559

Step-by-step explanation:

if that's supposed to be a comma on 66.559 then the answer is 194,440. If not it's 127,947.559.

2. Estimate the sum. Choose the mixed number that is closest to the estimate. 5.5 + 4.2

Answers

Answer:

9 9/10

Step-by-step explanation:

10

55/10 +42/10=97/10=9 7/10

AM=10 and point M is the midpoint for AB

Answers

Answer:

The Answer is 5

Step-by-step explanation:

Draw 2 circles divide 10 by those 2 circles see how much you have on both circles which is 5 thats the mid point M for AB.

Your Welcome! :3 Please mark me brainliest!

Need help i don't understand

Answers

Answer:

Commutative property of multiplication

Step-by-step explanation:

This property states that numbers can be switched around when multiplying and the answer still remains the same

Answer:

C

Step-by-step explanation:

So we have the expression:

[tex]63\cdot 3[/tex]

And Jared rewrote it as:

[tex]3\cdot 63[/tex]

In other words, he just switched the order and the expression remains equivalent.

This is an example of the commutative property of multiplication, which states that if you change the order of a multiplication sentence, the sentence will remain equivalent.

So, our answer is C.

And we're done!

5k +13=93
k =-5; k = 16;k = 22

Answers

awnser:

k= 75

5+13= 18                             = k

and your trying to get to 93 so 75+18=93 so

75=k

Step-by-step explanation:

2x - 3y = 8 //

Find y

Answers

Answer:

[tex]y = -\frac{2}{3} x - \frac{8}{3}[/tex]

Step-by-step explanation:

[tex]2x - 3y = 8\\[/tex]

Isolate y

[tex]-3y = 8-2x\\-3y = -2x+8[/tex]

Divide both sides of the equation by -3

[tex]\frac{-3y}{-3} = \frac{2x}{-3} +\frac{8}{-3} \\\\y = -\frac{2}{3} x - \frac{8}{3}[/tex]

6 = a divided by 4 + 2

Answers

Answer:

36

Step-by-step explanation:

36 is the answer hope this helped!

Determine the value of the expression given above.

Answers

Answer:

-44

Step-by-step explanation:

The cuboid has volume 288cm^3 (a) the cuboid has a length 12 cm and a width 5cm Calculate the height of the cuboid (b) 1cm^3 of the cuboid has a mass of 4g Work out the mass of the cuboid. Please help I am desperate

Answers

Answer:

height= 4.8cm

Step-by-step explanation:

volume= length×width× height given the volume and length and width, 288=12×5×h

288=60h

divide both sides by 60

h=4.8cm

Answer:

h = 4,8 cm

m = 1152 g

Step-by-step explanation:

V = l×w×h

h = V/l×w

= 288cm³/12cm×5cm

= 288cm³/60cm²

= 4,8 cm

1cm³ .............. 4g

288cm³ ........ xg

x = 288cm³×4g/1cm³ = 1152 g

HURRY!!!! Right now, Molly is twice as old as Nancy. Zander is 6 years younger than Molly. Which expression represents Molly’s current age in

terms of Nancy’s? Which expression represents Molly’s current age in

terms of Zander’s? Nancy is currently 10 years old, and Zander is 14. How old is Molly?

Answers

Answer:

:)

Step-by-step explanation:

Let 'N' rep. Nancy's age

Let 'M' rep. Molly's age

1) 2N

2) M - 6

3) 2(10) = 20

therefore, Molly is 20

M = 20

M - 6 = 14 (Zander's age)

Answer:

Which expression represents Molly’s current age in terms of Nancy’s?

Answer: 2n

Which expression represents Molly’s current age in terms of Zander’s?

Answer: z plus 6

Nancy is currently 10 years old, and Zander is 14. How old is Molly?

Answer: 20 years old

Just did the assignment and got a 100, edge 2021

Hi Geovannie, when you submit this form,
Required
1. Solve the equation:
-(1+4x)=4(1-x)-5*
(5 Points)

Answers

Steps to solve:

-(1 + 4x) = 4(1 - x) - 5

~Distribute both sides

-1 - 4x = 4 - 4x - 5

~Combine like terms on the left side

-1 - 4x = -1 - 4x

~Add 4x to both sides

-1 = -1

~Add 1 to both sides

0 = 0

Therefore, all real numbers are solutions.

Best of Luck!

Airboats are a popular way to tour areas with shallow water. A small airboat can fit 6 people. A large airboat can fit 4 times as many people. How many more people can fit in a large airboat than in a small airboat?

Answers

Answer:

18

Step-by-step explanation:

Small airboat = 6

Large airboat = 4× the small airboat's capacity = 4×6= 24

thus 24-6 = 18 more people can fit in the large airboat

I really need help on this ;-;

Answers

It should be 63 degrees bc angle BCD is equal to angle ADE due to what is known u can infer this-> hence 180 degrees makes up the interior angles of a triangle so 180- 53=126 and u divide that by two bc of the two bottom angles and get 63. :)) hope this helps

What is the first step in isolating the variable x?

X/Y - Z = W; for X

Answers

Answer:

X = Y(W + Z)

Step-by-step explanation:

X/Y - Z = W

X/Y = W + Z

X = Y(W + Z)

Help??? WILL MARK YOU BRAINLIEST

Answers

Answer:

13) Luis is wrong because he read the 80* as if his starting point was P. He needs to now take away 45 because that is the angle PTQ.

14) 165* I'm pretty sure because you just do 45 plus 60 since the centred one would only have a view of 45 from what I understand and the other two still have a view of 60 each. Total is 165.

Answer:

8. AC = 29

x = 6

AB = 6

9. BC = 15

3x = 15

x = 5

BD = 3x +4x-13

= 22

10. <PTR = 80

11. < PTQ = 45

12. <QTS = 130 - 45 = 85

13. Luis didn't subtract 80 by 40

14. 180

sixty three thousandths in standard form

Answers

Answer:

sounds like .063 to me

Which pairs of rational numbers are equivalent? Select all that apply. -0.5 and 2 0.7and 7 10 and 0.55 20 and -0.02 50 0 0.15 and 0.15​

Answers

Answer:

-0.5 and -1/2; 11/20 and 0.55; -1/50 and -0.02

Step-by-step explanation:

Answer:

-0.5 and -1/2; 11/20 and 0.55; -1/50 and -0.02

Step-by-step explanation:

What is the volume of a rectangle prism 11inches long, 6 inches wide and 3 inches high

Answers

Answer:

198 inches^3

Step-by-step explanation:

Volume of a rectangular prism = Length × width × height

Length = 11 inches

Width = 6 inches

Height= 3 inches

Volume of a rectangular prism = Length × width × height

= 11 inches × 6 inches × 3 inches

= 198 inches^3

The volume of the rectangular prism with dimensions 11 inches long, 6 inches wide, 3 inches high is 198 cubic inches

(I WILL MARK AS BRAINLIEST PLS OPEN I RLLY NEED TO KNO PLSSS) a hot air balloon is 10 meters above the ground and rising at a rate of 15 meters per minute. another balloon is 150 meters above the ground and descending at a rate of 20 meters per minute. when will the two balloons meet? i really need to know im super confused and also use the either the substitution method or the elimination method to solve this word problem PLSSSSSSSSSSSSSSSSSSSSS

Answers

Answer:

After 4 minutes

Step-by-step explanation:

Balloon 1

Initial position = 10 mRise rate = 15 m/min

Balloon 2

Initial position = 150 mDrop rate = 20 m/min

Time required for the balloons to meet = x

After x minutes the first balloon will be at position:

10 + 15x

And the second balloon will be at position:

150 - 20x

Since they meet after x minutes, their position must be same:

10 + 15x = 150 - 20x15x + 20x = 150 - 1035x = 140x = 140/35x = 4 minutes

So the balloons will meet after 4 minutes

2x-y-z=15 4x+5y+2z=10 -X-4y+3z=-20​

Answers

Answer:

{x,y,z}={2,2,−2}

Step-by-step explanation:

help solve this for me pls

Answers

Answer:

x ( > or = ) 5/9

Step-by-step explanation:

● 2(1 + x) ( > or = ) 11 - 3x

● 2 + 2x ( > or = ) 11 - 3x

Add 3x to both sides

● 2 + 2x + 3x ( > or = ) 11 - 3x + 3x

● 2 + 5x (> or = ) 11

Substract 2 from both sides

● 2 + 5x -2 ( > or = ) 11 -2

● 5x (> or =) 9

Divide both sides by 5

● 5x/5 ( > or = ) 5/9

● x ( > or = ) 5/9

how do you do this it makes no sense

Answers

Answer:

Step-by-step explanation:

multiply each, for example, -30 x-15 = 4500

h(n)=4n+ 4 find h (-3)

Answers

Step-by-step explanation:

h(n)=4n+ 4 find h (-3)

h(-3)=4(-3)+4

=-12+4

=--8

Answer: -8

Step-by-step explanation: h(n) = 4n + 4 means that

if we put an n into our function, a 4n + 4 comes out.

So here, we're putting a -3 into our function which means that

a 4(-3) + 4 comes out which simplifies to -12 + 4 or -8.

So h(-3) = -8 or the value of the function at -3 equals -8.

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