An airplane travels 4374 kilometers against the wind in 6 hours and 5514 kilometers with the wind in the same amount of time. What is the rate of the plane in
still air and what is the rate of the wind?

An Airplane Travels 4374 Kilometers Against The Wind In 6 Hours And 5514 Kilometers With The Wind In

Answers

Answer 1

Answer:

air = 95 mph

plane = 824 MPH

Step-by-step explanation:

6(x-y) = 4374

6(x+y)= 5514

6x - 6y = 4375

6x + 6y = 5514

12x = 9889

x = 824 mph

y = 95 mph


Related Questions

Is it possible to build a triangle with side lengths of 3, 3, and 9?

Answers

Answer:

N0

Step-by-step explanation:

The sides of a triangle must be

a-b< c< a+b  where a and b are the two smaller sides and c is the larger side

3-3 <9< 3+3

0<9<6

This is not true so it cannot make a triangle

answer:

no

step-by-step explanation:

each side must be smaller than the sum of other sides

so

9+3>3-right

3+3<9-wrong

What is a negative rational number times a positive integer?
A) A negative integer
B) A positive rational number
C) A negative rational number
D) An irrational number

Answers

Answer:

C

Step-by-step explanation:

The product of a negative rational number and a positive integer is a negative rational number

Answer: C (A Negative Rational Number)

Step-by-step explanation

A Negative number mutiplied by a positive number is a negative number.

Please click thanks and mark brainliest if you like

How is adding and subtracting radical expressions similar to adding and subtracting variables ?????

Answers

Answer: To add or subtract radicals, the indices and what is inside the radical (called the radicand) must be exactly the same. If the indices and radicands are the same, then add or subtract the terms in front of each like radical. If the indices or radicands are not the same, then you can not add or subtract the radicals.

Answer:

combining like terms. if the radicand is the you can combine the radical. this is the same as combining variables as long as the variable is the same if that makes sense

Step-by-step explanation:

so like you can add 7a and 3a because they have the same variable a. you can combined 2 root 2 and 4 root 2 because the radicand is same <3

Rick spent 3/5 of his money on books. He spent another 2/7 of his money on stationary. What fraction of his money had he left?

Answers

Answer:

He has 4/35 of with money left

Step-by-step explanation:

1 - 3/5 - 2/7 = 4/35

This basically answers the question

adebook
Homework:
Homework 1
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Question 11, 1.1.87
HW Score: 76.92%, 10 of 13 points
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Shannon, who is paid time-and-a-half for hours worked in excess of 40 hours, had gross weekly wages of $551 for 52 hours worked. What is her regular hourly rate?

Answers

Answer:

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Answer:

$9.5

Step-by-step explanation:

40x+12*1.5x=551

40x+18x=551

58x=551

58x/58=551/58

x=9.5

I put 40x to represent her normal rate when she isnt working overtime which is over 40 hours. And then I put 12*1.5x which is broken down into two parts, 12 represent the amount of overtime hours worked 12 hours overtime (52-40=12) and 1.5x represents the time-and-a-half (which if you didnt know is where you get paid 1.5 times your hourly wage each hour worked overtime). And when you solve this equation you get 9.5 hours an hour as her regular hourly rate

Find the values of p and q for which the system of the linear equation has
infinite number of solutions
2x -3y = 7
(p +q) x -(p+ q- 3) y =4p+q

unwanted ans will be reported

Answers

If it has infinite solutions

[tex]\boxed{\sf \dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}=\dfrac{c_1}{c_2}}[/tex]

[tex]\\ \sf\longmapsto \dfrac{2}{p+q}=\dfrac{3}{p+q-3}[/tex]

[tex]\\ \sf\longmapsto 2(p+q-3)=3(p+q)[/tex]

[tex]\\ \sf\longmapsto 2p+2q-6=3p+3q[/tex]

[tex]\\ \sf\longmapsto 2p-3p+2q-3q=6[/tex]

[tex]\\ \sf\longmapsto -p-q=6[/tex]

[tex]\\ \sf\longmapsto p+q=-6[/tex]

[tex]\\ \sf\longmapsto p=-6-q[/tex]

Take p as 1

.q=-6-1=-7

Find the slope of the line through each pair of points (11, 18) (20, 12)

Answers

Answer:

2/3

Step-by-step explanation:

We can find the slope by using the slope formula

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

   = ( 12-18)/(20 -11)

   = -6/-9

 = 2/3

Y = 2x + 3

(2, 7)

(1, 3)

(-3, 6)

(0, 2)

Answers

Answer:

(2,7)

Step-by-step explanation:

Phil’s age is 7 years more than times Peter’s age. Also, 4 times Phil’s age is 2 years less than twice Peter’s age. If x is Peter’s age in years, identify the equation that represents this situation and identify the solution to the equation.

Answers

Answer:

2x-4(x+7)=2

Step-by-step explanation:

Peter's age:x.... twice age:2x

Phil's age:x+7...4times age:4(x+7)

Difference if ages is 2

Hence; 2x-4(x+7)=2

Answer:

Answer

4.9/5

38

loitzl9006

Ambitious

54 answers

6.5K people helped

Answer:

x=25

Step-by-step explanation:

we know that "x" is Peter's age

assume that "y" is Phil's age

In the sentence "Phil's age is 7 years more than 1/5 times than Peter's age" are two things: "Phil's age": y and "1/5 times Peter's age": 1/5 x

create equation with these two things

y = 1/5 x

including "7 years more"

many people make a lot of errors with it, they dont know: y+7 = 1/5 x or y=1/5 x + 7 ?

in order to avoid mistakes

read the sentence and point, which: y or 1/5 x is greater and smaller

"Phil's age is 7 years more than ..."

so y is greater, and 1/5 x smaller

y = 1/5 x

greater = smaller

we must add 7 to smaller number to make an equality

greater = smaller + 7

y = 1/5 x + 7

Second sentence:

"4 times Phil's age is 2 years less than twice Peter's age."

Two things: "4 times Phil's age": 4y and "twice Peter's age": 2x

4y = 2x

read the sentence once again

"4 times Phil's age is 2 years less than (...)" , so 4y - smaller, 2x - greater

4y = 2x

smaller = greater

including "2 years less" we add 2 to a smaller number

smaller + 2 = greater

4y + 2 = 2x

Substitute y=1/5 x + 7 to the equation 4y+2 = 2x

Step-by-step explanation:

In which of the following expressions is the coefficient of term "x" 1?

2x^2+x−9
2 x squared plus x minus 9

x^2+2x+7
x squared plus 2 x plus 7

3x^2−x−5
3 x squared minus x minus 5

2x^2−3x+1

Answers

Using the coefficient concept, it is found that the expression in which the coefficient of the term x is 1 is:

[tex]2x^2 + x - 9[/tex]

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

In a polynomial, the terms that multiply the x variables are called coefficients.

For example, take a standard quadratic equation: [tex]ax^2 + bx + c[/tex]

The coefficient of is a.The coefficient of x is b.The coefficient of [tex]\mathbf{x^0}[/tex] is c.

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

In this problem, we want an expression in which the term "x" is multiplied by 1, and the desired expression is:

[tex]2x^2 + x - 9[/tex]

A similar problem is given by https://brainly.com/question/15446728

If I Have 100 Dollars And i go to the bank and i ask for 30 more and use that money on a store and i have 12 Dollars Left How Much Did the Thing I Bought Cost/ How Much Money did i spend?

Answers

Answer:

$118

Step-by-step explanation:

First, find how much money you had after going to the bank:

100 + 30

= $130

Find how much money you spent at the store by subtracting 12 from 130:

130 - 12

= 118

So, you spent $118

Traveling at 55 miles per hour, how many minutes, rounded to the nearest whole number, does it take to drive 310 miles from Boston to Syracuse?

6

338

365

3,300

Answers

Answer:

338

Step-by-step explanation:

55miles/h,

it would take 310/55 =62/11 h to reach syracuse

62/11 h = 338.181818mins ≈ 338mins

338 because it is the right answer

A group of rowdy teenagers near a wind turbine decide to place a pair of
pink shorts on the tip of one blade. They notice that the shorts are at its
maximum height of 16 metres at t = 10 s and its minimum height of 2 metres at
t = 25 s.

a) Determine the equation of the sinusoidal function that describes
the height of the shorts in terms of time.

b) Determine the height of the shorts at exactly t = 10 minutes, to
the nearest tenth of a metre.

Answers

Answer:

a) Hence the equation of the sinusoidal function that describes the height of the shorts in terms of time is [tex]y = 9 + 7* sin(\pi * t / 15 - \pi / 6)[/tex]

b) Hence the height of the shorts at exactly t = 10 minutes, to

the nearest tenth of a meter is 5.5 meters

Step-by-step explanation:

a) The wind turbine blade traverses a circular path as it rotates with time (t), whose time variation is given by the following trajectory equation :

[tex]x^2 + (y-yc)^2 = R^2[/tex] ,

where  

R = (16 m - 2 m)/2 (since diameter = maximum height - minimum height of the pink short)

= 14 m / 2

= 7 m (radius of the circle)

Also, center of the circle will be at (0, 2 + R) i.e (0,9)

So,  is the trajectory path equation to the circle

Let [tex]x = 7* cos(w*t + \phi ) & y = 9 + 7* sin(w* t + \phi)[/tex] be the parametric form of the above circle equation which represent the position of the pink shorts at the tip of the blade at time t  

At t= 10s, y = 16 m so we have,

[tex]9 + 7 * sin(10* w + \phi) = 16[/tex] ---------------(1)

Also, at t= 25s, y =2 m so we have,

[tex]9 + 7* sin(25 * w +\phi) = 2[/tex]--------------(2)

Solving we have, [tex]10* w + \phi = \pi/2 & 25*w + \phi = 3*pi/2[/tex]

[tex]15* w = \pi\\\\w = \pi/15 & \phi = \pi/2 - 10*\pi/15 = -\pi / 6[/tex]  

Therefore [tex]y = 9 + 7* sin(\pi * t / 15 - \pi / 6)[/tex] is the instantaneous height of the pink short at time t ( in seconds)

b) At t= 10minutes = 10 * 60 s = 600s, we have,

[tex]y = 9 + 7 * sin(\pi * 600/15 - \pi / 6)\\\\= 9 + 7 * sin(40* \pi - \pi / 6)[/tex]

= 5.5 meters (pink short will be at 5.5 meters above ground level at t= 10 minutes)

If f(x) = 2x ^ 2 + 3 and g(x) = x ^ 2 - 7 , find (f - g)(x) .

Answers

Answer:

x^2 + 10

Step-by-step explanation:

f(x) = 2x ^ 2 + 3

g(x) = x ^ 2 - 7

(f - g)(x) =2x ^ 2 + 3 - (x ^ 2 - 7 )

Distribute the minus sign

             =2x ^ 2 + 3 - x ^ 2 + 7

Combine like terms

            = x^2 + 10

G(x)=3x+2 encontrar el dominio, codominio y haga tabla de valores

Answers

Answer:

x=

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

explainion is shown in picture above. Hope this helps

One hamburger and one coke cost $3.20. Three hamburgers and one coke cost $8.00. Find the cost of one hamburger.
$2.40
$2.60
$4.80
$0.80
$2.10

Answers

Answer:

$0.80

Step-by-step explanation:

-3 (1x + 1y = 3.2)

3x + 1y = 8

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

-3x - 3y = -9.6

+

3x + 1 y = 8

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

0x -2y = -1.6

÷ -2

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

y = 0.8

one hamburger costs $0.80

PPPPPlease HHHHHelp, see the picture!

Answers

Answer:  Choice D)  5.2 * 10^7

This value is 52 million.

===================================================

Explanation:

During the first year, the well produced 50,000 quarts of water per week. Since there are 52 weeks in a year, the well produced 52*50,000 = 2,600,000 quarts in total for that first year alone. This is the initial value 'a'.

The common ratio is r = 1 - 0.05 = 0.95

So we have a geometric sequence with starting term a = 2,600,000 and common ratio r = 0.95

Since -1 < r < 1 is true, we can use the infinite geometric series formula as shown below.

S = a/(1 - r)

S = (2,600,000)/(1-0.95)

S = 52,000,000

S = 5.2 * 10^7 which is choice D

the product of two number is 105. if one number is -3 what is the other number​

Answers

Answer: -35

Step-by-step explanation:

You can check it by multiplying -3 and -35 you should get 105

what is the meaning of EMI calculation​

Answers

What Is an Equated Monthly Installment (EMI)?

An equated monthly installment (EMI) is a fixed payment amount made by a borrower to a lender at a specified date each calendar month. Equated monthly installments are applied to both interest and principal each month so that over a specified number of years, the loan is paid off in full. In the most common types of loans—such as real estate mortgages, auto loans, and student loans—the borrower makes fixed periodic payments to the lender over the course of several years with the goal of retiring the loan.

Answer:

equated monthly installment

An equated monthly installment (EMI) is a fixed payment amount made by a borrower to a lender at a specified date each calendar month. Equated monthly installments are applied to both interest and principal each month so that over a specified number of years, the loan is paid off in full.

Step-by-step explanation:

An equated monthly installment (EMI) is a fixed payment amount made by a borrower to a lender at a specified date each calendar month. Equated monthly installments are applied to both interest and principal each month so that over a specified number of years, the loan is paid off in full. In the most common types of loans—such as real estate mortgages, auto loans, and student loans—the borrower makes fixed periodic payments to the lender over the course of several years with the goal of retiring the loan.

The distance between Detroit, Ml to Paris, France is approximately 3930 mi. Flying from Detroit to Paris take 8 hr with the jet stream. The return flight takes 8.3 hr since the plane is flying against the jet stream. a. What the plane Soren still in air, rounded to the nearest whole number, is blank mph b. What the speed of the jet stream, rounded to the nearest whole number, is blank mph

Answers

Answer:

a)   [tex]s=482moh[/tex]

b)  [tex]s'=9mph[/tex]

Step-by-step explanation:

From the question we are told that:

Distance [tex]d=3930mi[/tex]

Time of flight [tex]T=8hr[/tex]

Flight back [tex]T_b=8.3hr[/tex]

Generally the equation for Time for flight with jet steam is mathematically given by

[tex]T=\frac{d}{s+s_1}[/tex]

[tex]8=\frac{3930}{s+s'}[/tex]

[tex]s+s'=491.3 ....equ1[/tex]

Generally the equation for Time for flight against jet steam is mathematically given by

[tex]T=\frac{d}{s-s_1}[/tex]

[tex]8.3=\frac{3930}{s-s_1}[/tex]

[tex]s+s'=473.5......equ 2[/tex]

Solving equ 1 and equ 2 simultaneously

[tex]s+s'=491.3[/tex]

[tex]s+s'=473.5[/tex]

Therefore

[tex]s=482moh[/tex]

[tex]s'=9mph[/tex]

A 10 oz bottle of shampoo cost $2.40 and a 12oz bottle cost $2.64 find the unit rate for each which bottle has the lower unit cost

Answers

Answer:

12oz bottle

Step-by-step explanation:

10 oz bottle

Take the price and divide by the ounces

2.40 /10 = .24 per ounce

12oz bottle

2.64 / 12 =.22 per ounce

HELP PLEASE !! REAL ANSWER ONLY

find the surface area of the cylinder round to the nearest tenth ​

Answers

Answer:

CSA is 12.57

TSA is 18.85 .. i dont know what the question is asking..

I will recommend you to use TSA

Answer:

19ft

Step-by-step explanation:

Formula for surface area of the cylinder=2πr(r+h)

We have,

h=2ft

d=2ft

r=d/2=2/2=1ft

Now,

2πr(r+h)=2π*1(1+2)=2π*1*3=6π=18.8495559215

Rounding to the nearest tenth,

We get Surface area of the cylinder=19 ft

HELP!
11. When you multiply two decimals less than 1, how does the product compare to the factors?
Illustrate with an example.
the ctarting line there are water stations every

Answers

Answer:

When multiplying a number by a decimal less than one, the product will be smaller than the number being multiplied. This is because we are finding a fractional amount of a quantity. For example, 0.1 x 0.8 = 0.08, because the question is asking us to find one tenth of eight tenths.

Answer:

It will always be less than both.

Step-by-step explanation:

Multiplying by something smaller than 1 will always make the result smaller, so taking something like

0.8⋅0.5 means that we are taking half of 0.8

OR 45 of 0.5 (same thing)

either way it makes it smaller, which means we will get something smaller than both.

help me please!!!!!!!!

Answers

Answer:

BC = 29.4

Step-by-step explanation:

30² = 20² + BC² -2•20•BC•cos(108)

900 = 400 +BC² -12.4•BC

900 -400 = BC² -12.4•BC

BC² -12.4•BC -500 = 0

Solve the equation using Bhaskara and you'll find two possible values for BC, which are:

BC = -17 and BC = 29.4

A negative number doesn't make sense because it is a side of a triangle, so we choose BC = 29.4

Do any one of them, please help needed​

Answers

Answer:

a = -3

Step-by-step explanation:

f(x) = 5x³+4x²+3x-4a

f(-1) = 8

therefore , x = -1

substituting x = -1 in 5x³ + 4x² +3x-4a

5(-1)³ + 4(-1)² + 3(-1) - 4a. = 8

-5 + 4 -3 - 4a = 8

-8 + 4 -4a = 8

-4 - 4a = 8

shifting -4 from LHS to RHS

-4a = 8+4

-4a = 12

[tex] - a = \frac{12}{4} [/tex]

therefore

-a = 3

a = -3

ANS = the value of a = -3

if you r having any queries please comment down and make it brainlist answer if you liked it and hit a like too!!!!!!

25. Several functions represent different savings account plans. Which functions are linear?
A. y = 3.6 x2
B. y = 5.25 x
c. y = 0,5 Х
D.y = 2.5 x +7
E. y = 2.50(1.3)*
NEED HELPP​

Answers

Answer:

b, c, d

Step-by-step explanation:

y=kx+b

or

y=kx

so y=5,25x-right

y=0,5x-right

y=2,5x+7-right

Susan wants to make pumpkin bread and zucchini bread for the school bake sale. She has 15 eggs and 16 cups of flour in her pantry. Her recipe for one loaf of pumpkin bread uses 2 eggs and 3 cups of flour. Her recipe for one loaf of zucchini bread uses 3 eggs and 4 cups of flour. She plans to sell pumpkin bread loaves for $5 each and zucchini bread loaves for $4 each. Susan wants to maximize the money raised at the bake sale. Let x represent the number of loaves of pumpkin bread and y represent the number of loaves of zucchini bread Susan bakes. What is the objective function for the problem

Answers

Answer:

Objective Function z

z =  5*x  +  4*y .       to maximize

Step-by-step explanation:

                           eggs             flour

P. Bread    (x)        2                   3

Z. Bread .   (y)       3                  4

Availability .        15                 16

Constraints.

Eggs availability .  15

2*x + 3*y ≤ 15

Flour availability 16 cups

3*x + 4*y ≤16

Objective Function z

z =  5*x  +  4*y .       to maximize

The model:

z =  5*x  +  4*y .       to maximize

Subject to:

2*x + 3*y ≤ 15

3*x + 4*y ≤16

x ≥ 0  y  ≥ 0 .  integers

Answer: C

Step-by-step explanation:

Correct on edg 2020

Choose the algebraic description that maps the image ΔABC onto ΔA′B′C′.

Question 2 options:

(x,y) → (x – 4,y)


(x,y) → (x,y + 4)


(x,y) → (x,y – 4)


(x,y) → (x + 4,y)

Answers

Answer:

(x , y )  -----> (x , y -4)

Step-by-step explanation:

There is no change in x-coordinate

Compare the y-coordinate of A(-4 , 7) and A'(-4 , 3)

7 + a = 3

    a = 3 - 7

   a = -4

y-coordinate of A' = y-coordinate of A  - 4

Solve the system of equations:
v=2x-4
y=x2 - 4

Answers

The choose (D)

(0,-4) and (2,0)

Find the marked price if: Selling price =Rs 4999.50 and Discount percentage = 10%.​

Answers

Answer:

HOPE IT HELP YOU....

if it is right plz comment me .

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