PLEASE HELP I NEED AND ANSWER
Flying against the wind, an airplane travels 5040 kilometers in 6 hours. Flying with the wind, the same plane travels 6000 kilometers in 5 hours. What is the rate of the plane in still air and what is the rate of the wind?

Answers

Answer 1

Answer:

The rate of plane in still air is 1020 kilometers per hour and rate of wind is 180 kilometers per hour.

Step-by-step explanation:

Given that:

An airplane travels 5040 kilometers in 6 hours against the wind

An airplane travels 6000 kilometers in 5 hours with the wind

Let,

x be the speed of plane in still air

y be the rate of wind

Combined speed against the wind = x - y

Combined speed with the wind = x+y

Speed = [tex]\frac{Distance}{Time}[/tex]

x-y= [tex]\frac{5040}{6} = 840[/tex]

x - y = 840    Eqn 1

x + y = [tex]\frac{6000}{5} = 1200[/tex]    Eqn 2

Adding Eqn 1 and 2

x+y+x-y=1200+840

2x=2040

Dividing both sides by 2

[tex]\frac{2x}{2}=\frac{2040}{x}\\x=1020[/tex]

Putting x=1020 in Eqn 2

1020+y=1200

y=1200-1020

y=180

Hence,

The rate of plane in still air is 1020 kilometers per hour and rate of wind is 180 kilometers per hour.


Related Questions

Please help me out with this

Answers

Answer:

10

Step-by-step explanation:

2+2+6

Answer:

10

Step-by-step explanation:

The right side of the graph shows the sum of the cars. 2 black Impala's + 6 white Impala's + 2 red Impala's = 10 total Impala's (that is, if all of the Impala's are one solid color)

3(2x+ 1) for x = -8
Hi

Answers

Answer:

-45

Step-by-step explanation:

inside the parentheses: 2*-8= -16

                                        -16+1=-15

3 (-15)= -45

Answer:

-45

Step-by-step explanation:

hello

Which answer is an equation in point-slope form for the given point and slope?
Point: (1,9); Slope: 5
A) y−1=5(x+9)
B) y−9=5(x−1)
C) y+9=5(x−1)
D) y−9=5(x+1)

Answers

Answer:

B [tex](y-9)=5(x-1)[/tex]

Step-by-step explanation:

Formula of straight line in Point slope form

[tex](y-y_1)=m(x-x_1)[/tex]

Here

[tex]m=5 \ and \ (x_1, y_1)=(1, 9)[/tex]

therefore equation of line having slope 5 and passing through point )1, 9) is given as

[tex](y-9)=5(x-1)[/tex]

Answer:

Francine has just set up her Christmas tree.  40% of her ornaments are red.  If she has 30 ornaments, then how many are red?

Step-by-step explanation:

John invested his inheritance of $12000 in 3 different funds part in a money market fund paying 3% interest annually Parton monusco bonds paying 4% annually and the rest in mutual funds paying 7% annually John invested 4000 more in mutual funds than he invested in municipal bonds the total interest in one year with $670

Answers

Answer:

John invested $2,000 in money-market fund, $3,000 in municipal bonds, and $7,000 in mutual funds.

Step-by-step explanation:

Note: This question is not complete. The complete question is therefore provided before answering the question as follows:

John invested his inheritance of $12,000 in three different funds: part in a money-market fund paying 3% interest annually; part in municipal bonds paying 4% annually; and the rest in mutual funds paying 7% annually. John invested $4,000 more in mutual funds than he invested in municipal bonds. The total interest earned in one year was $670. How much did he invest in each type of fund?

The explanation of the answer is now given as follows:

Let a, b and c represent the amount invested in money-market fund, municipal bonds and mutual funds respectively. Therefore, the sum of the three principal amounts can be represented as follows:

a + b + c = 12,000 ……………………….. (1)

Since John invested $4,000 more in mutual funds than he invested in municipal bonds, we have:

c = b + 4,000 ……………………………. (2)

The total amount of interest earned from each fund can be represented as follows:

0.03a + 0.04b + 0.07c = 670 ………………. (3)

Substituting equation (2) into equation (1), we have:

a + b + b + 4,000 = 12,000

a + 2b = 12,000 – 4,000

a + 2b = 8,000

a = 8,000 – 2b ……………………….. (4)

Also, substituting equation (2) into equation (3), we have:

0.03a + 0.04b + 0.07(b + 4,000) = 670

0.03a + 0.04b + 0.07b + 280 = 670

0.03a + 0.04b + 0.07b 0 = 670 – 280

0.03a + 0.11b = 390 ,,,,,,,,,,,,,,,,,,,,,, (5)

Substituting equation (4) into equation (5) and solve for b, we have:

0.03(8,000 – 2b) + 0.11b = 390

240 – 0.06b + 0.11b = 390

240 + 0.05b = 390

0.05b = 390 – 240

0.05b = 150

b = 150 / 0.05

b = 3,000

Substituting b = 3,000 into equation (2), we have:

c = 3,000 + 4,000

c = 7,000

Also, substituting b = 3,000 into equation (4), we have:

a = 8,000 – (2 * 3,000)

a = 8,000 – 6,000

a = 2,000

Therefore, John invested $2,000 in money-market fund, $3,000 in municipal bonds, and $7,000 in mutual funds.

I will give brainlist!!

Answers

Answer: I gave both percentage and price.

10 years:

Coin A) is worth 25$ with 7%  $25.70  0.7%

Coin B) is worth 50$ with 5% $50.50  0.5%

Coin C) is worth 60$ with 4% $60.40 0.4%

20 years:

Coin A) $26.40  1.4%

Coin B) $51.00  1%

Coin C) $60.80  0.8%

30 years:

Coin A) $27.00  2%

Coin B) $51.50  1.5%

Coin C) $61.20  1.2%

60 years:

Coin A) $29.20  4.2%

Coin B) $53.00  3%

Coin C) $62.40  2.4%

h
Ph)
30
60
190
19988 0
120
150
180
210

Answers

Answer:

hi can u pls enter the right question

can someone help me find out what is 48y-24

Answers

Answer:

24(2y-1)

Step-by-step explanation:

(pls mark me brainliest)

5n+2(11-h)=-5
please help me find the answer and step by step

Answers

Answer:

Step-by-step explanation:

Answer:

[tex]5n + 2(11 - n) = - 5 \\open \: brackets \\ 5n + 22 - 2n = - 5 \\ 5n - 2n = - 5 - 22 \\ 5n - 2n = - 27 \\ 3n = - 27 \\ n = \frac{ - 27}{3} \\ n = - 9[/tex]

The perimeter of a triangle is 38 inches. Two sides of the triangle measure 12 inches and 10
inches. What is the length of the third side of the triangle?

Answers

Answer:

16

Step-by-step explanation:

38-12-10=16

Answer:

16

Step-by-step explanation:

3x-(-3-x)=-1
pls answer this

Answers

3x +3 + x = -1
4x= -4
X= -1

Step-by-step explanation:

Apply rule: 3x+3x =-1

Add similar elements: 6x=-1

Divide both sides by six

Simplify: x= -1/6


Write a mathematical expression for the following.
"The product of a number and five is decreased by three."

Answers

Answer:

x=y-3

Step-by-step explanation:

okay, so first, we have to understand what the words mean.

PRODUCT: means the answer to a multiplication question

DECREASED: taken away or to make smaller

AND: addition or add

We can use X for "product" and Y for "a number"

now we can write it out:  

x=y+5-3

OR

y+5-3=x

w/4 -4 = 3
this is w over 4
solve the equation and show process

Answers

Answer:

w=28

Step-by-step explanation:

multiply both side by 4:

[tex]4*(\frac{w}{4} -4)=3*4\\4*\frac{w}{4}-16=12\\w-16=12[/tex]now add  +16 in both side:

[tex]16+w-16=12+16\\w=28[/tex]

A mechanic is constructing the metal structure shown.
Both F) and IK measure 4 m and are perpendicular to GH. The measure of ZKIH = 40° and GJ HK.
What is the measure of ZFGJ?
A. 20°
O B. 40°
O C. 50
O D. 90°

Answers

Answer:

C) 50°

Step-by-step explanation:

Δ FJG ≅ Δ IKH

∡J = 90

∡I and ∡F = 40

therefore, ∡G = 180 - (90+40) = 50°

To which subsets of the real number system does -16 belong?

Answers

Answer:

natural numbers, rational numbers, integers, whole numbers, real numbers

-16 belongs to the set of the integers and rational numbers.

Given that,
To discuss to which subsets of the real number system -16 belong.

What is a number system?

A number system is described as a technique of composing to represent digits. It is the mathematical inscription for describing the numbers of a given set by using numbers or other characters in a uniform method. It delivers a special presentation of every digit and describes the arithmetic structure.

Here,
Number -16 is an integer and rational number, also primarily it is a real number,
So real number is set an integer and a rational number is subsets for the number -16

Thus, -16 belongs to the set of integers and rational numbers.

Learn more about the number system here:

https://brainly.com/question/22046046

#SPJ2



help due in 10 minutes

Answers

Answer:poster 10 hours ago

Step-by-step explanation:

me reads it is due in 10 min

Solve this please ( sorry if u cant see it clearly)

Answers

Answer:

3 I did it already..................

Step-by-step explanation:

3

Answer:

3

Step-by-step explanation:

observe the choices and choose the closest choices. MR/MP=RQ/NP THE HINT IS "NP".

Please help me out with this one

Answers

Answer:

is it not just 3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Find the intersection of Red and Cruze, and you get the box with 3

Find the unit rate.
18 push-ups in 3 days= ??

Answers

6 push-ups a day is the unit rate

Kera earns $12 per hour at her job. Every day she also earns $15 for walking her neighbor’s dog. She has decided to save all of her earnings for college. If x represents the number of hours she works, write an expression that represents the total amount Kera will save for college each day.

Answers

Answer:

nah

Step-by-step explanation:

Factorise x2 + 4x + 3

Answers

Answer:

(x + 1)(x + 3)

Step-by-step explanation:

Given

x² + 4x + 3

Consider the factors of the constant term (+ 3) which sum to give the coefficient of the x- term (+ 4)

The factors are + 1 and + 3, since

1 × 3 = 3 and 1 + 3 = 4, then

x² + 4x + 3 = (x + 1)(x + 3)

In the following, after distributing and solving, find the error.
6(x + 8) = 72
6x + 48 = 72
6x + 48 + 48 = 72 + 48
6x = 120
X = 20
What was the error and explain then give the correct answer.

Answers

After 6x+48=72, you have to subtract 48 on both sides not add. Your final answer will be x=4. 72-48=24.. 24/6= 4.

I got to type a response ​

Answers

Answer:

This is actually pretty easy.

13+3-11 is 5

1+0-2 is -1

8+5+6 is 19

0-3-4 is -7

So you add all of the solutions and then thats your answer D+C equals 24+-8

Step-by-step explanation:

is a hotdog a taco or a sandwitch?

Answers

a taco it’s shaped like one

Answer:

Step-by-step explanation:

None of them

Can someone help please

Answers

the radius is the length of the line going from one side to the middle some of the questions are already like that so just copy it down some go from one side to the other so basically you have to double them ones the diameter are the length of the lines going form one side to the other and to work out the radius from a diameter u just half the diameter the circumference formula is c=2 π r which means the circumference equals 2 x π x the radius
i hoped this helped its probably a bit confusing if so just comment and i’ll help

155 Divided By 9,765

Answers

Answer:

0.0158730159

Explanation:

HELP PLEASE 13 POINTS!!!!!! SUPER EASY

Answers

Good luck with whatever this is bestie

Please help!!! I’ll mark the best answer brainliest!! (look at the photo)

Answers

Go with ÷5 its the most closest while the rest are no where to be found.

Solve the equation: explain in detail please! I will mark brainliest.

X/5 + 6 = 10

44

30

20

-20

Answers

Answer:

x = 20

Step-by-step explanation:

The way to solve these problems is by isolating x (getting it by itself on one side).

So let's look at the operations needed!  First of all, there's currently a +6 hanging out next to x.  We don't want that, so we subtract 6 from both sides.

x/5 + 6 = 10

       -6    -6

      x/5 = 4

We now see that x is being divided by five.  To get just x, we can now multiply both sides by five to get rid of that fraction.

       x/5 = 4

        *5    *5

           x = 20

The third answer option, x=20.

I need help someonehelp me

Answers

Answer:

∠ F ≈ 78°

Step-by-step explanation:

Using the cosine ratio in the right triangle

cosF = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{FG}{EF}[/tex] = [tex]\frac{1.5}{7.5}[/tex] , then

∠ F = [tex]cos^{-1}[/tex] ([tex]\frac{1.5}{7.5}[/tex] ) ≈ 78° ( to the nearest degree )

I need some help someone-help me pleaseeee

Consider the two expressions. Expression 1: -4(9x-2)+3
Expression 2: -36x+k
What value of k will make the two expressions equivalent?​

Answers

Answer:

11

Step-by-step explanation:

first, distribute the negative four in Expression 1: -36x+8+3

next, set that equal to Expression 2: -36x+11 = -36x+k

finally, add 36x to both sides: 11 = k

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