flying against the wind, an airplane travels 5220 kilometers in 9 hours. flying with the wind, the same plane travels 6560 kilometers in 8 hours. what is the rate of the plane in still air and what is the rate of the wind?

Answers

Answer 1

The rate of the plane in still air is 700 km/h

Let V = rate of plane in still air and v = rate of wind.

When flying against the wind, an airplane travels 5220 kilometers in 9 hours, we have that since distance = speed × time

(V - v) × 9 = 5220

V - v = 5220/9

V - v = 580 (1)

Also, flying with the wind, the same plane travels 6560 kilometers in 8 hours, we have that since distance = speed × time

(V + v) × 8 = 6560

V + v = 6560/8

V + v = 820 (2)

Adding equations (1) and (2), we have

V - v = 580 (1)

V + v = 820 (2)

2V = 1400

V = 1400/2

V = 700 km/h

So, the rate of the plane in still air is 700 km/h.

The rate of the wind is 120 km/h

Substituting V into (1), we have

V - v = 580 (1)

700 - v = 580

v = 700 - 580

v = 120 km/h

So, the rate of the wind is 120 km/h

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Related Questions

Activity 3.
Direction. Name the ratio as a fraction in simplest form.
1. P5.00 to P60.00
2. 1 hour to 40 minutes
3. 2 weeks to 4 days
4. Eight out of 30 passengers are tourist. Give the ratio of tourist to passengers.
5. For every 45 passengers, 9 are foreigners. Write the ratio of foreigners to
passengers.
Please answer please help me

Answers

Answer:

see explanation

Step-by-step explanation:

(1)

[tex]\frac{5}{60}[/tex] ( divide numerator/ denominator by 5 )

= [tex]\frac{1}{12}[/tex] ( in simplest form )

(2)

both quantities must have the same units

1 hour = 60 minutes , then

[tex]\frac{60}{40}[/tex] ( divide numerator/ denominator by 20 )

= [tex]\frac{3}{2}[/tex] ( in simplest form )

(3)

1 week = 7 days then 2 weeks = 2 × 7 = 14 days , so

[tex]\frac{14}{4}[/tex] ( divide numerator/ denominator by 2 )

= [tex]\frac{7}{2}[/tex] ( in simplest form )

(4)

[tex]\frac{8}{30}[/tex] ( divide numerator/ denominator by 2 )

= [tex]\frac{4}{15}[/tex] ( in simplest form )

(5)

[tex]\frac{9}{45}[/tex] ( divide numerator/ denominator by 9 )

= [tex]\frac{1}{5}[/tex] ( in simplest form )

List all the factors of 42 from least to greatest. Enter your answer below,
using a comma to separate each factor.
Answer Here
SUBMIT

Answers

The factors of 42 are 1, 2, 3, 6, 7, 14, 21, and 42.

Answer:

Factors of 42: 1, 2, 3, 6, 7, 14, 21 and 42.

Step-by-step explanation:

Help help math math math please

Answers

Answer:

-2) -14

0) -8

2) -2

4) 4

Step-by-step explanation:

Plug in each input for x, and solve for y

Answer: 2) -140) -82) -24) 4

Step-by-step explanation:

combine the like terms in the equation : 2s-4w+5+6s

Answers

To combine like terms, you have to add the same variables and all

First You have to find if the Numbers are positive or Negative

2s is positive

4w is Negative because i has Minus sigh before it

5 is Positive because it has added sigh

6s s Positive because it has added sign

Second you have to find the Like terms

2s+6s=8s

so, the new equation is

8s-4w+5.

That is the simplest

If you have questions just ask me I went through it pretty fast

the answer is 6s-4w+5

If a = 0.3 and b =0.5, what is the value of a+b?

A. [tex]\frac{8}{10}[/tex]
B. [tex]\frac{8}{9}[/tex]
C. [tex]\frac{80}{99}[/tex]
D. [tex]\frac{88}{100}[/tex]

Answers

Answer=

Step-by-step explanation

because of the dot/line at the top of the number it means it is a continuous same number

for example, 0.3 with a dot/line on top means it is 0.333333...

so 0.55...+0.33...=0.88...

and as it is a decimal that is in the range of 1-100 its like a percentage so it is 88/100

D. Because Karen spends $450 on monthly bills. Of this total amount, 12% is for phone service,
1
10
is for Internet service, and
2
9
is for utilities. If the rest of the total amount is for food, how much does Karen have for food?

Some one help me? ill give 50 points

Answers

Answer:

v=[tex]\frac{(w+v)/t}{2}[/tex]

Step-by-step explanation:

just inverse operations and you will always get your answer :)

Which of the following situations can be modeled by the expression 5 - (-3)?

Kylie is three years younger than Tyler, and Claire is five years older than Kylie. How many years separate Tyler and Claire?
Kylie is three years younger than Tyler, and Claire is five years older than Tyler. How many years separate Kylie and Claire?
None of the above.
Kylie is three years younger than Tyler, and Claire is five years younger than Tyler. How many years separate Kylie and Claire?

Answers

Answer:the first option

Step-by-step explanation:

help me out with this question .?

Answers

Step-by-step explanation:

true ya false you say me

a cookie recipe included 2/3 cups of sugar for 12 cookies, how many cups of sugar will you need if you wanted to make 42 cookies

Answers

Answer:10/6 cups of sugar is the answer to this equation being the correct answer.

Step-by-step explanation:

What is the "theoretical yield" of cookies from each of the "reactants?"

Help please
(1/5 x 5) to the 5th power =

Answers

Answer:

(1/5 x 5) to the 5th power = 1

Express the following as mathematical statements or phrases. 1. Twice the product of the number 2. Seven less than a number 3. The sum of three consecutive numbers 4. The sum f two consecutive even numbers is 42 5. The sum of a number and 5 times its reciprocal 6. Four more than twice a number 7. The square of a number increase by five 8. The sum of two numbers is equal to four more than their difference 9. Rian's age four years from now 10. Clara's age 10 year from now

Answers

Answer:

See below

Step-by-step explanation:

Let x or y be the variable in each case.

1. Twice the product of the numbers ... x and y (just a guess, its incomplete):

2xy

2. Seven less than a number:

x - 7

3. The sum of three consecutive numbers:

x + (x + 1) + (x + 2)

4. The sum of two consecutive even numbers is 42:

2x + 2x + 2 = 42

5. The sum of a number and 5 times its reciprocal:

x + 5*(1/5)

6. Four more than twice a number:

4 + 2x

7. The square of a number increase by five:

x² + 5

8. The sum of two numbers is equal to four more than their difference:

x + y = 4 + (x - y)

9. Rian's age four years from now:

x + 4

10. Clara's age 10 year from now:

x + 10

Step-by-step explanation:

1. Let, Number = x

2. Let, Number = x

x - 7

3. Let,

Consecutive numbers = x, x + 1 and x + 2

x + x + 1 + x + 2

3x + 3

4. Let,

Consecutive numbers = a and a + 2

a + a + 2 = 42

2a + 2 = 42

5. Let, Number = x

Reciprocal = 1/x

x + 5/x

6. Let, Number = y

2y + 4

7. Let, Number = y

(x + 8)²

x² + 16x + 64

8. Let,

First number = x

Second number = y

x + y = 4 + (x - y)

9. Let,

Rian's age = y

y + 4

10. Let,

Clara's age = y

y + 10

4y^3-9y=0 solve by factoring

Answers

Answer:

[tex]y_1=0,y_2=\frac{3}{2},y_3=\frac{3}{2}[/tex]

Step-by-step explanation:

[tex]4y^3-9y=0[/tex]

[tex]y(4y^2-9)=0[/tex]

[tex]y(2y-3)(2y+3)=0[/tex] <-- Difference of squares

[tex]y_1=0,y_2=\frac{3}{2},y_3=\frac{3}{2}[/tex]

The width of a rectangle is 7ft less than the length. The area of the rectangle is 228 square feet. Find the length and width

Answers

Set up figure, side length x, and width x-7. Set equation up

[tex]228 = (x)(x - 7) \\ 228 = {x}^{2} - 7x \\ {x}^{2} - 7x - 228 = 0 \\ (x - 19)(x + 12) = 0 \\ x = - 12 \\ x = 19[/tex]

Since the value x, cannot be negative, x is equal to 19. Therefore the length is 19, width 12 (19-7)

Find the value of x need help

Answers

It is an isosceles triangle which means two sides are the same. Therefore it would also be 7 because it is the same as the other side

Using the unit circle, determine the value of sin 450°

Answers

Answer:

To find the value of sin 450 degrees using the unit circle, represent 450° in the form (1 × 360°) + 90° [∵ 450°>360°] ∵ sine is a periodic function, sin 450° = sin 90°.

Answer:

Step-by-step explanation:

To find the value of sin 450 degrees using the unit circle, represent 450° in the form (1 × 360°) + 90° [∵ 450°>360°] ∵ sine is a periodic function, sin 450° = sin 90°.

Rotate ‘r’ anticlockwise to form a 90° or 450° angle with the positive x-axis.

The sin of 450 degrees equals the y-coordinate(1) of the point of intersection (0, 1) of unit circle and r.

Hence the value of sin 450° = y = 1

A line includes the points (-7, 1) and (7, -1). What is its equation in slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answers

Answer:

y=-1/7x

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-1-1)/(7-(-7))

m=-2/(7+7)

m=-2/14

simplify

m=-1/7

--------------------

y-y1=m(x-x1)

y-1=-1/7(x-(-7))

y-1=-1/7(x+7)

y=-1/7x-7/7+1

y=-1/7x-1+1

y=-1/7x

How many yards is 24 feet

Answers

Answer:

8 yards

Step-by-step explanation:

1 yard is equal to 3 feet, so we just do 24/3 = 8 yards

Answer:

Step-by-step explanation:

1 feet is 3 yards so 24 yards is 8

At a school 60% of students buy a school lunch. Only 10% of students buy lunch and dessert. What is the probability that a student who buys lunch also buys dessert?

Answers

Answer:

1/6

Step-by-step explanation:

P(A) = probability a student buys lunch = 60% = 0.6

P(B) = probability a student buys lunch and dessert = 10% = 0.1

We are looking at the probability that a student buys lunch and dessert on the condition that they already bought lunch. Therefore, we are looking at a conditional probability.

P(B given A) = P(A and B) / P(A)

= 0.1 / 0.6

= 1/6 ≈ 0.167

557.59 in terms of pi

Answers

the answer for this is 557.9

Complete the equation of the line through (-10,3)(−10,3)left parenthesis, minus, 10, comma, 3, right parenthesis and (-8,-8)(−8,−8)left parenthesis, minus, 8, comma, minus, 8, right parenthesis.

Answers

Answer:

[tex] y = -\dfrac{11}{2}x - 52 [/tex]

Step-by-step explanation:

Line through points (-10, 3) and (-8, -8).

slope = (-8 - 3)/(-8 - (-10)) = -11/2

y = mx + b

y = (-11/2)x + b

-8 = (-11/2)(-8) + b

-8 = 44 + b

b = -52

y = (-11/2)x - 52

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of the line passing through (-10,3) and (−8, -8) is y=(-11/2)x-52.

What is the equation of a line?

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,

y =mx + c

where,

x is the coordinate of the x-axis,

y is the coordinate of the y-axis,

m is the slope of the line, and

c is the y-intercept.

The slope fo the line passing through (-10,3) and (−8, -8) is

Slope, m = (-8-3)/(-8+10) = -11/2

Now, equate a point in the equation,

3 = -10(-11/2) + C

3 = 55 + C

c = -52

Hence, the equation of the line passing through (-10,3) and (−8, -8) is y=(-11/2)x-52.

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3. Twenty-five percent of Santa's elves
decorated the North Pole. If 150 elves
decorated, how many total elves live in
the North Pole?

Answers

600 elves

25% = 1/4
1/4 of the total = 150.
1/4 x 4 = 1 (total)
150 x 4 = 600
there are 600 elves

If A=−2x+8 and B=2x−4, find an expression that equals 2A+B in standard form.

Answers

Answer: -2x + 12

Step-by-step explanation:

2A + B = 2(-2x + 8) + (2x - 4) = -4x + 16 + 2x - 4 = -2x + 12

Help me out please ???????

Answers

Answer:

I think it's 33.

Hope that helps you.

Step-by-step explanation:

it will be 33 because the interquartile we give it by Q3 - q1

Q3 median of 84 plus 90 divided by 2 equal 87

q1 equal 54

you went to a coffee house with 2 friends and ordered an iced coffee and dessert which came to $12.96 how much is the tip if the rate is 15%

Answers

Answer:

its 1.944

Step-by-step explanation:

Percentage can be calculated by dividing the value by the total value, and then multiplying the result by 100. The formula used to calculate percentage is: (value/total value)×100%.

Can somebody please help me with this true or false algebra 1 question?

A relation that pairs each input with exactly one output is a function.

True or False

Answers

I'll help.

The answer to your question is True!!

find the equivalent fraction 2/6= __ 2/5= ___

Answers

The equivalent fraction of 2/6 is 1/3
The equivalent fraction of 2/5 is 4/10

25 Points please help!!!

Answers

Answer:

The one you clicked on in the picture is correct

Step-by-step explanation:

By elimination you can tell that it is the bottom two answers (+3 is inverse of -3). And it is the answer you selected because it cube roots whats in parentheses. So you are correct with the answer you have selected right now

a jar has 654 jelly beans emily says the jar has 710 jelly beans, Find the percent error of emily's estimate

Answers

Answer:0.07% because 710-654 is 56 and 56 divided by 710 is 0.07

Answer:

8.56%

Step-by-step explanation:

Find the difference between the actual and estimate, this is the error:

710 - 654 = 56

Find the percent error, which is the error over the actual:

56/654*100% = 8.56%

Marty is 54 years old, and his niece is 6. How many times older is Marty than his niece? Choose the answer that has the correct equation AND the correct solution to the equation.
6x = 54; x = 8 times older
54 + x = 6; x = 48 times older
6x = 54; x = 9 times older
54x = 6; x = 9 times older

Answers

Answer:

6x = 54; x = 9 times older

Step-by-step explanation:

1.5kg : 350g solve the ratio

Answers

Step-by-step explanation:

convert kg into grams

1kg=1000g

1.5kg/350g=1.5×1000g/350

1500/350=300/70

=30/7

ratio will be 30:7

answer is 4.2g

The answer to the ratio is:

4.2g

First of all, we need to convert the kg to g

This can be done by multiplying the Kg by 1000

1.5kg x 1000= 1500g

Next, we solve the ratio since they are in the same parameters

This would be 1500g:350g

1500/350= 30/7.

Therefore, the ratio would be 30:7

Finally when further broken down, it would be 4.2g