Baba Yaga lost her broom somewhere between her hut and Bald Mountain, and wants to get it back. She calculates that with a tailwind of 2 km/ h, she can fly from her hut to Bald Mountain in 6 hours. Baba Yaga starts her trip, finds her broom 40 km before Bald Mountain, and turns around and flies home. The entire journey takes 9 hours. Find the speed Baba Yaga flies in quiet weather (with no tailwind or headwind).

Answers

Answer 1

Answer:

18 km/h

Step-by-step explanation:

Let the speed of Baba Yaga is x

The speed with tailwind: x + 2The speed with headwind: x - 2

The distance to Bald Mountain:

6(x + 2)

The distance she actually travelled is less by 40 km:

6x + 12 - 40 = 6x - 28

The time she spent:

(6x - 28)/(x+2) + (6x - 28)/(x -2) = 9

Solve for x to find the speed:

((6x + 12) - 40)/(x + 2) + ((6x - 12) - 16)/(x - 2) = 96 - 40/(x + 2) + 6 - 16/(x - 2) = 940/(x + 2) + 16/(x - 2) = 340(x - 2) + 16(x + 2) = 3(x+2)(x - 2)40x - 80 + 16x + 32 = 3x² - 123x² - 56x + 36 = 0

Solving the quadratic equation we get:

x = 18 km/h(x = 2/3 discounted as not realistic)


Related Questions

the diameter of a circle is 8. what is the area of the circle in terms of π?

Answers

Answer:

Step-by-step explanation:

radius r = 8/2 = 4

area of circle = πr² = 16π units²

At one point in a winter sky in North America, the distance between the Earth and
Jupiter was 391 million miles and the distance between Earth and Mars was 160
million miles. The included angle between these two distances was 118°, At that
particular time, what was the approximate distance between Mars and Jupiter?

Answers

Answer:

2.154

Step-by-step explanation:

.2453

(Middle schoolers!)
If you need help with Draw Inferences from Data I have everything you need!
Just ask the question then come to me and I can answer it for you!
This is for do you know/how do you understand!

Answers

Answer:

Ok! tysm!

Answer explanation:

For every hour of exercise, Tina drinks 8 ounces of water. What is the ratio of hours to water

Answers

Answer:

1:8

Step-by-step explanation:

1 hour for every 8 ounces gives a 1:8 ratio

Answer:

8:3 would be the ratio

plz help
what is the range of the data set?

Answers

Answer:

C. 6

Step-by-step explanation:

The range of a data set is the smallest number subtracted from the biggest number. In this case 7 is the biggest number, and 1 is the smallest number. This gives us the equation 7 - 1 = range which gives us 6.

HELP WILL MARK BRAINLIEST IF RIGHT!!!

Answers

Answer:

im so sorry bt I dont know this one

Step-by-step explanation:

Solve each equation please?

6) 3x - 5 = 10

7) 36 = 4x + 12

8) 3(x + 2) = 36

9) 7(2x - 15) = 63

Answers

Answer:

6) x=5

7)x=6

8)x=10

9)x=12

Step-by-step explanation:

6) 3x-5=10. 7) 36=4x+12. 8) 3(x+2)=36

+5 +5. - 12. - 12. 3x + 6=36

3x = 15. 24 = 4x. - 6. -6

÷3. ÷3. ÷4. ÷4. 3x=30

x=5. 6 = x. x = 10

9) 7(2x-15)=63

14x - 105=63

+105. +105

14x = 168

÷14. ÷14

x=12

Gavin has a board that is ten feet long. Gavin is using the board to saw off pieces of wood needed for a building project. First Gavin saws off 2/10 of the board. Next Gavin saws off 5/10 of the board. Last Gavin saws off 1/10 of the board Gavin says he has 2/10 the board left to use for another building project is Gavin correct?

Answers

Answer:

Gavin is correct

Step-by-step explanation:

Since the problem is using a denominator of 10, I will convert 1 (1 representing the full length of the board before being sawed) to a fraction over 10

1 = 10/10

Subtract everything Gavin sawed off from the board

10/10 - 2/10 - 5/10 - 1/10

Only subtract the numerators; the denominators will stay the same

8/10 - 5/10 - 1/10

3/10 - 1/10

2/10

Gavin says he has 2/10 of the board left to use

Since we concluded we still have 2/10, he is correct

I need this fast pls

Answers

Answer:

D

Step-by-step explanation

-2 1/2 is less than -1 1/2, s -2 1/2<-1 1/2

2(T+1)=10 what does t equals ?​

Answers

2(T+1)=10
2t+2=10
move 2 to the other side , making it negative
2t=10-2
2t=8
divide both sides by 2
t=4
2(T+1)=10
2T+2=10
2T=10
T=5

6th grade work please tell me the answer fast and don’t give me and incorrect one

Answers

Answer: 222cm

Step-by-step explanation:

To find the area of this composite shape you will have to split them into 2 shapes; a rectangle and a triangle.

To work out the area of the rectangle you have to do 15×12= 180

Then, to work out the area of the triangle, you use the formula base times height divided by 2.

7×12=84

84÷2=42

Then to work out the total area of both the rectangle and the triangle, you have to add the area of both.

180+42=222cm

Hope this helps :)

PLSSSS ANSWER 10 POINTS AND BRAINLIEST

Answers

Answer:

[tex]x=20[/tex]

Step-by-step explanation:

we know that

[tex]x+100+3x=180[/tex]

so solve for x

[tex]4x+100=180\\\\4x=80\\\\x=\frac{80}{4}=20[/tex]

Answer: x = 20

Step-by-step explanation:

180 - 100 = 80

4x = 80

x = 20

Which is the quotient of 15 divided 4? 4/15, 2 2/3, 3 3/4, 4 4/15

Answers

Answer:

its 3 3/4 or in decimal form 3.75

Step-by-step explanation:

15 divided by 4 gives you that answer

Find the Surface Area 17 cm 4 cm 10 cm​

Answers

Im assuming this is a rectangular prism. 2(17)(4)+2(17)(10)+2(4)(10)=556

Branliest to correct answer explain how to solve it please

Answers

In general, nCr = n! / r! (n-r)!

Here, 7C3 = 7! / 3!(7-3)!

=7 x 6 x 5 x 4 x 3 x 2 x 1 /3 x 2 x 1 ( 4 x 3 x 2 x 1)

=7x6x5x4 / 4x3x2

=7x5x6x4 / 24

=35x24 / 24

=35

I would prefer a expert but if you know 100% feel free to answer I’m offering brainalist + 15 points for a correct answer (:

Answers

Answer is D. vertical

Answer:

1000

Step-by-step explanation:

Find the slope of the line that passes through (1, -19) and (-2, -7)

Answers

Answer:

y = -4x-15

Step-by-step explanation:

y = ax+b

-19=a+b

-7=-2a+b

==> a = -4

b = -15

36 is 18% of what number

Answers

Answer:

200

Step-by-step explanation:

Do 36/0.18

200

200 because 100% divided by 18 = 5.55555556 and 5.55555556x36=200

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Answers

The answer is 12 if you want me to explain reply to this comment

Answer

I believe it is 1/12

Step-by-step explanation:

as it is 24 ft tall, and then the model is 2 ft tall

22 ft is subtracted

so basically for every 12 ft one is added to the model

so 1/12 should be the ans

how do i see if 5 + 3 x -2 and x + 2 (x + 1) + 1 are equivalent or not?

Answers

Simplify both of the expressions and see if they are the same

5+3x-2

=3+3x

x+2(x+1)

=x+2x+2

=2+3x

They are not equivalent.

Please help is for noww

Answers

Answer:

25¢

Step-by-step explanation:

Answer: Answer: $0.25

Step-by-step explanation:

Let x be the total money was in her wallet and m be the cost of each petunia,

From the given table , the money left in wallet after purchasing 2 petunia =$6.50

Then we have the following equation: 6.50 = x - 2m - - - - - ( 1 ) Also, the money left in wallet after purchasing 8 petunia =$5 Then, we have 5 = x - 8m - - - - - - - - - ( 2 ) Subtracting (2) from (1) , we get 6.50 - 5 = -2m - (8m) then -2m + 8m = 1.50 then we 6m = 1.50. m = 1.50/6 = 0.25 hope this helped.

Solve the inequality. 4a < 52
a < 208

a < 56

a < 48

a < 13

Answers

4a<52

All you have to do is divide 4 from a and 52.

4a<52

/4   /4

a<13

a<208

a<56

a<48

a<13 X

So the odd one out is a<13

---

hope it helps

Sally is making 15 individual blueberry cheesecakes. How many pounds of blueberries will be in each cheesecake if 5 1/4 pounds of blueberries are divided equally among them?

Answers

Answer:

0.35 pounds in each cheesecake

Step-by-step explanation:

Number of individual blueberry cheesecakes = 15

Pounds of blueberries = 5 1/4 pounds

How many pounds of blueberries will be in each cheesecake if 5 1/4 pounds of blueberries are divided equally among them?

= 5 1/4 ÷ 15

= 21/4 ÷ 15

= 21/4 × 1/15

= (21*1)/(4*15)

= 21/60 pounds

Equivalent to 0.35 pounds in each cheesecake

PLEASE HELP!!!!!! I WILL GIVE Brainliest!

Answers

Answer:

just sub

Step-by-step explanss

Match each pair of points a and B to point C such that ABC equals 90°

Answers

I don't really get what you mean

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If I had to find the perimeter of triangle, I would:

Group of answer choices

take the square root of the hypotenuse

multiply all sides together

Add all three side measures together

apply the formula for circumference

Answers

Answer:

Add all three side measures together

Step-by-step explanation:

That is how you find the perimeter of most shapes.

Hope this helps! :)

Answer:

add all three aide measures together. I'm not sure but I'd someone give another answer go with it. have a nice day

1, write a ratio in all three forms, to compare the days without games to the days in a year?

Answers

Answer:

1. 363 to 2

2. 363:2

3. 363/2

Step-by-step explanation:

1. First of all, there are 365 days in a year.

* Note that the question says there are only 2 days where sports aren't played.

2. As said in the question there are 3 ways to write a ratio: a to b; a : b; a/b. Now, let's think that what are a and b in this scenario? a= says without games= 2; and b= days in a year= 365.

3. Now fill in the variables with the numbers for each form of a ratio.

a. 363 to 2

b. 363:2

c. 363/2

Can anyone help with this question pleasee

Answers

Answer:

[tex] y = 1 [/tex]

Step-by-step explanation:

Given:

[tex] a^{3y - 5} = \frac{1}{a^2} [/tex]

Apply the negative exponent rule

[tex] a^{3y - 5} = a^{-2} [/tex]

The bases will cancel each other

[tex] 3y - 5 = -2 [/tex]

[tex] 3y - 5 + 5 = -2 + 5 [/tex]

[tex] 3y = 3 [/tex]

[tex] \frac{3y}{3} = \frac{3}{3} [/tex]

[tex] y = 1 [/tex]

Read the writing prompt for an argumentative essay.

Studies show that teenagers spend hours a day on social media. What impact do social media platforms have on teenagers’ mental health? Write an essay that argues your viewpoint on this topic. Support your claim with reasons and evidence.

Which source would be the most reliable to use for research of the prompt?

an article from a .com website
an article from a .net website
an article from a .gov website
an article from a .org website


I will give brainliest for the correct answer!!

Answers

Answer:

an article from a .gov website

norma had 3/8 birthday cake left over from her party she ate 3/4 of the cake for lunch. how much did she eat at lunch?

Answers

Answer:

1/12

Step-by-step explanation:

Fraction is the representation of the parts of a whole number. The amount of cake ate by Norma in the lunch is 9/32 parts.

Given-

Total cake left over by the Norma after the party is 3/8.

Total cake she ate for the lunch is 3/4.

The value of the whole cake is given in the fraction parts. To solve this the fraction should be understood.

What is fraction?

Fraction is the representation of the parts of a whole number.

As the one whole of cake was there earlier. The 3/8 part of the cake is,

[tex]=\dfrac{3}{8}[/tex]

As she ate the 3/4 part of the left over cake in the lunch. Suppose the part of cake she ate is x. Therefore the part of cake she ate at lunch is,

[tex]x=\dfrac{3}{8} \times\dfrac{3}{4}[/tex]

[tex]x=\dfrac{9}{32}[/tex]

Hence, the amount of cake ate by Norma in the lunch is 9/32 parts.

Learn more about the fraction here;

https://brainly.com/question/1301963

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