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

1. How many times greater is the value of the 6 in 9,638 than the value of the 6 in 3,968?
(2 points)
Enter your answer

Answers

Answer:

100 times

Step-by-step explanation:

doesn't matter if the number is in the same place value so, the answer is 100 times.

Which statement about the area of a right triangle is true?
F :The area formula for a right triangle is the base times the height because a rectangle can be
divided into two right triangles.
G: The area formula for a right triangle is the base times the height because a right triangle
can be divided into two rectangles.
H: The area formula for a right triangle is one-half of the base times the height because a
rectangle can be divided into two right triangles.
J: The area formula for a right triangle is one-half of the base times the height because a right
triangle can be divided into two rectangles.

Answers

Answer:

H

Step-by-step explanation:

This is because a rectangle can be divided into two triangles.

subject : bible:
What two words summarize Romans 10:9-10?
sacrifice
work
believe
confess
justify

Answers

I think believe and justify

Answer:

confess and believe are the two main words.

Step-by-step explanation:

Just got this right :')

PLEASE HELP!!! use the pic to understand the question

Answers

Answer:

this is confusing. I'll try my best to sort it out for you. I'll tap in once I figure it out

Is this function odd?

Answers

Answer:

I'm afraid, we can't see the function

Step-by-step explanation:

Answer:

what function???? there's nothing there to look at

Jason buys a plot of land that is 2/5 of an acre in size. Ava buys a
plot of land that is 2/8 of an acre in size. Whose plot of land is
smaller?​

Answers

Answer:

Ava's

Step-by-step explanation:

To find whose plot of land is smaller, compare the sizes of their plots.

Jason's is 2/5 of an acre, while Ava's is 2/8 of an acre.

Because they have the same numerator, we can look at the denominator to see which is smaller.

The number with the larger denominator will be smaller. So, this means 2/8 is smaller than 2/5.

So, Ava's plot of land is smaller

True or false?is the point(16,4) included in this function: Y=2x or Y=x2 or y= x+12 or y=x-12

Answers

Answer:

True

Step-by-step explanation:

It is true because the graph of [tex]y=x-12[/tex] passes through the point [tex](16,4)[/tex]

x = 16

y = 4

Substitute

4 = 16 - 12

4 = 4

Therefore, the answer is true.

Please help I will give you brainliest

Answers

Answer: 90

Steps:
E represents the maximum
90 is the maximum
The answer is 90. E on the following box plot represents the maximum value in the dataset. And in this case, the maximum value is 90.

What is 22/35 as a percent

Answers

Answer:

62.857142857143%

Step-by-step explanation:

Answer:62.8571Step-by-step explanation: Multiple: 22/35 * 100 = 22 · 100/35 · 1 = 2200/35= 440 · 5/7 · 5 = 440/7Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(2200, 35) = 5. In the next intermediate step, , cancel by a common factor of 5 gives 440/7.In words - twenty-two thirty-fifths multiplied by one hundred = four hundred forty sevenths.

Which choices are equivalent to the expression below? √-9

Answers

Answer:

Step-by-step explanation:

What is the value of x
15x + 1=46
Help plz
I will give brainliest

Answers

Answer:

3

Step-by-step explanation:

Answer:

The answer to this question is X=3

Step-by-step explanation:

15x3=45

45+1=46

Hope my answer helps you!!!

A lighthouse is located on an island 33 miles from the closest point on a straight shoreline. If the lighthouse light rotates clockwise at a constant rate of 99 revolutions per minute, how fast does the beam of light move towards the point on the shore closest to the island when it is 5252 miles from that point

Answers

Question:

A lighthouse is located on an island 3 miles from the closest point on a straight shoreline. If the lighthouse light rotates clockwise at a constant rate of 9 revolutions per minute, how fast does the beam of light move towards the point on the shore closest to the island when it is 52 miles from that point

Answer:

The beam of light moves at [tex]16278\pi[/tex] miles/min

Step-by-step explanation:

This question is illustrated with the attached image

Taking the instructions in the question, one at a time.

A revolution of 9 per minute implies that:

[tex]\frac{d\theta}{dt} = \frac{9 * 2\pi\ rad}{1\ min}[/tex]

[tex]\frac{d\theta}{dt} = 18\pi \frac{rad}{min}[/tex]

Take tan of the angle in the attachment:

[tex]tan(\theta) =\frac{52}{3}[/tex]

Differentiate both sides with respect to time

[tex]\frac{d\ tan(\theta)}{dt} =\frac{52}{3} * \frac{dx}{dt}[/tex]

Rewrite as:

[tex]\frac{d\ tan(\theta)}{d\theta} * \frac{d\theta}{dt} =\frac{52}{3} * \frac{dx}{dt}[/tex]

In calculus:

[tex]sec^2(\theta) =\frac{d\ tan(\theta)}{d\theta}[/tex] -- Chain rule

So:

[tex]sec^2(\theta) *\frac{d\theta}{dt} =\frac{52}{3} * \frac{dx}{dt}[/tex]

In trigonometry:

[tex]sec^2(\theta) = tan^2(\theta) + 1[/tex]

So:

[tex](tan^2(\theta) + 1)\frac{d\theta}{dt} =\frac{52}{3} * \frac{dx}{dt}[/tex]

Recall that:

[tex]tan(\theta) =\frac{x}{3}[/tex]

[tex]((\frac{52}{3})^2 + 1)\frac{d\theta}{dt} =\frac{1}{3} * \frac{dx}{dt}[/tex]

[tex](\frac{52^2}{9} + 1)\frac{d\theta}{dt} =\frac{1}{3} * \frac{dx}{dt}[/tex]

[tex](\frac{2704}{9} + 1)\frac{d\theta}{dt} =\frac{1}{3} * \frac{dx}{dt}[/tex]

[tex](\frac{2704+9}{9})\frac{d\theta}{dt} =\frac{1}{3} * \frac{dx}{dt}[/tex]

[tex](\frac{2713}{9})\frac{d\theta}{dt} =\frac{1}{3} * \frac{dx}{dt}[/tex]

Recall that: [tex]\frac{d\theta}{dt} = 18\pi \frac{rad}{min}[/tex]

[tex](\frac{2713}{9}) * 18\pi =\frac{1}{3} * \frac{dx}{dt}[/tex]

[tex]2713 * 2\pi =\frac{1}{3} * \frac{dx}{dt}[/tex]

Multiply both sides by 3

[tex]3 * 2713 * 2\pi =\frac{1}{3} * \frac{dx}{dt} * 3[/tex]

[tex]3 * 2713 * 2\pi =\frac{dx}{dt}[/tex]

[tex]16278\pi =\frac{dx}{dt}[/tex]

[tex]\frac{dx}{dt} = 16278\pi[/tex] miles/min

Hence:

The beam of light moves at [tex]16278\pi[/tex] miles/min

please help me if you know the answer

Answers

the expression equals 10 and if you solve all of the choices you will get 10 except for the 2 one the the correct answer is C
answer: C

5 more than a number m equals 8

Answers

Answer: m=3

Step-by-step explanation:

This could be written as m+5=8

You would then do the inverse to 'undo' the equation. So instead of adding 5 you would take away 5 from 8.

8-5=3

Hope this helps :)

The graph of linear function k passes through the points (-3, 0) and (1, 8).
Which statement must be true?
what’s the answer?

Answers

Answer:

-3,0

Step-by-step explanation:

if f(x)=5x-7,what isf(3)?​

Answers

Answer:

Explanation:

f  (  − 3 )  basically means substitute  − 3  for  x  in the function  − 5 x

f

(

3

)

=

5

(

3

)

7

f

(

3

)

=

15

7

f

(

3

)

=8

Step-by-step explanation:

Sammy counts the number of people in one section of the school auditorium. He counts 18 female students, 16 male students, and 6 teachers. There are720 people in the auditorium. Consider the probability of selecting one person at random from the auditorium.

Which of these statements are true? Choose all that apply.

Answers

I can't see the statements

PLEASE PLEASE PLEASE HELP ME!

Answers

Answer:

I dont see the question...

Step-by-step explanation:

coach Emanuel is trying to lose weight. the stars 2017 weighing 296 pounds. if he plans to burn enough calories to lose 3 pounds per week, then how many weeks will pass before Couch Emanuel is at most 251 pounds

Thank you to whoever answers this :)

Answers

Answer:

13 weeks because he loses 3 pounds per week

Step-by-step explanation:

269-251=39

39 divided by 3 = 13

13 weeks is your answer!

please mark brainliest please!!!

Let's assume our class is truly representative of the population at large. (a) Calculate the probability of having three right handed people in a sample of 10. Do this using R. (b) repeat, but this time calculate the probability of 3 or less right handed people in a sample of 10.n=17 right handed= 15 left handed=2

Answers

Answer:

0.1171875;

0.171875

Step-by-step explanation:

It is either a person is right handed or left handed

P(right handed) = 1/2

Probability of having 3 right handed people in a sample of 10 ;

P(x =x) = nCx * p^x * (1 - p)^(n - x)

P(x = 3) = 10C3 * 0.5^3 * 0.5^7

P(x = 3) = 120 * 0.125 * 0.0078125

P(x = 3) = 0.1171875

Using R ;

P(x ≤ 3)

We can obtain these from R using ;

pbinom( r, n, p)

pbinom(3, 10, 0.5) = 0.171875

find the y - intercept of the graph ​

Answers

Answer:

Step-by-step explanation:

yes that is correct!-2

The school park has a circular pond with a radius of 4 yards. What is the pond's diameter?

Answers

Answer:

The diameter of the pond is 8.

Step-by-step explanation:

Diameter formula   d = 2r

So d = [tex]2*4[/tex]

d = 8

Answer:

the answer is 8

Step-by-step explanation:

so 4r x 2=8d

or

2(4r)=8d

20 PTS HELP PLEASE !!!!!!

Answers

the answer is c i have don’t that before

Identifica el cuadrante en el cual se encuentra el ángulo 2.200

Answers

Answer:your

Step-by-step explanation:

mom

Identify the quadrant in which the angle is 2,200 what

Explain the inequality -4 C > -9C describes how the temperatures are related

Answers

NO SPEAK ENGLISH SORRYYYY

The inequality explains the value of -4°C is greater than -9°C

What is inequality?

It is known as inequality when both sides of a mathematical statement contain mathematical signs that are either less than or larger than one another.

It is given that,

-4°C >  -9°C

We utilize the "Greater than or equal to" sign in linear inequalities when the value of a variable is greater than or equal to a certain value. The "greater than" symbol (>), which has a sleeping line beneath it, is used to denote it. It is represented by the character (≥). 

Thus, the inequality explains the value of -4°C is greater than -9°C.

Learn more about inequality here:

brainly.com/question/19491153

#SPJ2

The graph of a line and an exponential can intersect twice, once or not at all. Describe the possible number of intersections for each of following pairs of graphs. Your solution to each part should include all possibilities and a quickly sketched example of each one. Part 2; (SHOW WORK)

c. A parabola and a circle

d. A parabola and the hyperbola y = 1/x

Answers

Answer:

  c) parabola and circle: 0, 1, 2, 3, 4 times

  d) parabola and hyperbola: 1, 2, 3 times

Step-by-step explanation:

c. A parabola can miss a circle, be tangent to it in 1 or 2 places, intersect it 2 places and be tangent at a 3rd, or intersect in 4 places.

__

d. A parabola must intersect a hyperbola in at least one place, but cannot intersect in more than 3 places. If the parabola is tangent to the hyperbola, the number of intersections will be 2.

If the parabola or the hyperbola are "off-axis", then the number of intersections may be 0 or 4 as well. Those cases seem to be excluded in this problem statement.

45 is what percentage of 150? A. 0.3% B. 3% C. 30% D. 35%

Answers

Answer:

C. 30%

Have a great day! Good luck.

Answer:

C. 30%

Step-by-step explanation:

All you have to do is 45/150 to get the answer. Simplify that and get 3/10 which is also equal to 30%.

Hope this helps you

Match each fraction on the left with the corresponding percent on the right. Some options on the right will be used more than
once.

Answers

Answer:

no picture

Step-by-step explanation:

what is 1 times 89what is 1 * 17 ​

Answers

Answer:

1 times 89 = 89 lol    1 x 7= 7

Step-by-step explanation:

hope this helps lol

I’m so stuck please help smart people ahahah

Answers

Answer:

Merit.

Step-by-step explanation:

To find the percentage that Sasha got, you can find the score out of the total score and multiply that by 100%.

Percentage = [tex]\frac{62}{80}[/tex] × 100%

                    = 77.5%

Since 77.5% falls in the Merit zone, Sasha got a merit in her music exam.

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