A flight averages 460 miles per hour. The return flight averages 500 mph because of a tailwind. The total flying time is 4 hours and 48 minutes. How long is each flight

Answers

Answer 1

The first flight is 2 hours and second flight is 2 hours and 48 minutes

The two distances are the same (out and back),

so set them equal.

That distance is cover by having one is (rate)(time) equal to other is (rate)(time).

Let,

One time is “x” and the other is “4.8-x.”

One average rate  is 460 per hour

and the other average rate is 500 per hour.

we know , Speed = [tex]\frac{distance}{time}[/tex]

so , distance = speed × time

put in this formula we get the value of X

⇒460 x = 500 (4.8 -x)

⇒460 x = 2400 - 500x

⇒900 x = 2400

⇒x = 2.5 hours for the slower plane.

⇒4.8- x = 2.3 hours for the faster plane.

The formula speed = distance ÷ time can be rearranged, just like any other equation.

Here detail explanation about relation between speed distance and time :

The formula can be rearranged in three ways:

speed = distance ÷ time

distance = speed × time

time = distance ÷ speed

To calculate one of the variables (speed, distance or time) we need the other two.

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Related Questions

The perimeter of a rectangle is 28 cm. Which of the following express the area of the rectangle in terms of the width x?

Answers

Answer:

14x−x

2

Step-by-step explanation:

Perimeter is 2x + 2y = 28 (y is the length BTW)

To find y, transfer equations

28-2x=2y

Divide both sides by 2

14-x = y

Now you have your length in terms of x

Multiplt length and width

x(14-x)

14x - x {}^{2}14x−x

2

HELP ME AGINS SNDJJEJEJE

Answers

Answer: 0

Step-by-step explanation:

-2+-1 = -3

-3+0 = -3

-3+1 = -2

-2+2 = 0

Translate the sentence into an equation.
Five times the sum of a number and 3 equals 7.
Use the variable x for the unknown number.

Answers

Answer:

(5x) + 3 = 7

Step-by-step explanation:

Times means 'The answer when you multiply' So we are working in multiplication. ( x )

5x is the multiplication.

It says 'and' which can also mean addition. So we add 3. So far our equation is: (5x) + 3 (Brackets are needed as we are multiplying 5 by x and not multiplying 5 by x+3)

Lastly it says the answer must be 7 so we add that at the end. So the answer is:

(5x) + 3 = 7


Find the area of AXYZ. (Hint: Draw a rectangle whose sides contain points X, Y, and Z.)
Ay
Y
-4
X
-2
Area: I
4
2
-2
N
2
square units
4 x
So

Answers

The area of triangle XYZ is of 13.3 units².

What is the missing information?

The missing information are the vertices of the triangle, given as follows:

X(-3,2).Z(1,-1).Y(3,4).

What is the area of a triangle?

The area of a triangle is given by half the base multiplied by the height, that is:

A = 0.5bh

For this problem, the have that the base is the length of segment XZ, which is found applying the distance between two points as follows:

[tex]b = \sqrt{(1 + 3)^2+(-1 - 2)^2}[/tex]

b = sqrt(25)

b = 5.

The height is the distance between the midpoint of XZ and Y. The midpoint of XZ(mean of the coordinates) is (-1, 0.5), hence the height is:

[tex]h = \sqrt{(-1 - 3)^2+(4 - 0.5)^2}[/tex]

h = sqrt(4² + 3.5²)

h = 5.32.

Thus the area of the triangle is given by:

A = 0.5 x 5 x 5.32 = 13.3 units².

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Incorrect
7(14+49)
7(2+49)
Question 5
60
0/1 pts
Fabric is sold in stores from bolts that are 45 or 60 inches wide. What is the
width, in inches, of the widest strips of fabric you can cut from either bolt
without wasting any of the fabric if each strip has the same width?

Answers

Answer:

15

Step-by-step explanation:

The greatest common factor of 45 and 60 is 15.

Simplify the expression.
(4 × 6)y=

Answers

Answer:

24y^2

Step-by-step explanation:

4y x 6y =

24y ^2

24y to the second power

The US government spent
$2500 billion. If 21% was
spent for Social Security, how
much was that

Answers

Answer:

If your number was 250,000,000,000

The amount of social security would be 52,000,000,000

Step-by-step explanation:

The percent of 12th graders in a certain state who have ever used cigarettes for each of the years 2000 through 2014 can be modeled by p= -1.773t+60.442, where p is equal to the percent
and t is equal to number of years after 2000. When will the percent be less than 30 %?
The percent will be less than 30% after the year
(Round to the nearest year as needed.)
example Get more help -

Answers

The percent will be less than 30% after the year 2017

Let 'p' be the percent of 12th graders in a certain state who have ever used cigarettes for each of the years 2000 through 2014.

Let 't' be the number of years after 2000.

We have to find when the percent is less than 30%.

The function modelling the percent and the number of years through 2000 and 2014 is p= -1.773t+60.442

So first we need to find the number of years corresponding to 30%.

Substitute p = 30 in the above linear equation.

i.e., 30 = -1.773t+60.442

-1.773t = 30 - 60.442 = -30.442

Therefore, t = 30.442/1.773 = 17.17 ≈ 17 years

Since t denotes the number of years after 2000, when t = 17, the year is 2000+17 = 2017

So the percent will be less than 30% after the year 2017

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*Please help*
Xavier bought a new boat for $24,000 in the year 2009. He knows that the value of the boat has depreciated linearly. If the value of the boat in 2010 was $18,500, what was the annual rate of change of the boat's value? Round your answer to the nearest hundredth if necessary.

Answers

Answer:

5500 is correct Answer.

Please mark me as brainlist answer.

is 1/8 equivalent to 2/12

Answers

Answer:

No

Step-by-step explanation:

Check by changing to a common denominator

Answer: no

Explanation: start by finding a common denominator in this case it’ll be 24
1 x 3 3 | 2 x 2 4
- = - - | - = -
8 x 3 24. | 12 x 2 24

After this you can see there’s a one number difference

The difference between two numbers is 2811.
The bigger number is 4200.
What is the smaller number?

Answers

The smaller number is 1389. We get this by using the technique of subtracting the bigger from the smaller number and equate it to the difference product.

Given the difference between two numbers is 2811.

The bigger number is 4200.

The smaller number is = ?

let the smaller number be 'x'

as the statement says difference between two numbers = 2811

Subtract the largest number from the smallest number to determine the difference between two integers. This sum is a product, and the difference between the two values is the product.

⇒ bigger number ₋ smaller number = 2811

⇒ 4200 ₋ x = 2811

⇒ ₋ x = 2811 ₋ 4200

⇒ ₋ x = ₋ 1389

cancel the negative sign from both sides.

x = 1389

hence we get the smaller number as 1389.

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Which equation represents the graph of this function?
_
A ) f(x)= √ x −4
____
B) f(x)= √x + 4
____
C) f(x)= √x - 4
_
D) f(x)= √x + 4

Answers

Answer:

USE air math

Step-by-step explanation:

hope that helps

A(n) integer is greater than 0.

Answers

The question you are asking doesn't provide a ton of info on what you are looking for, however:

________________________________________________________

Integers: "What Are They?"

An integer is a number with no fraction part or decimal, and it contains both negative and positive numbers, including the number 0 on a X and Y graph.

~Positive Numbers~ - These include any integer that has greater values than the number 0. They are also commonly referred to as positive integers, natural numbers and whole numbers.Example: 1, 2, 3, 4, and 5 are all positive integers and are greater than 0.

~Negative Numbers~ - These include any integer that has values less than the number 0.Example: -1, -2, -3, -4, and -5 are all negative integers that are less than 0.

________________________________________________________

Hope this kind of helps you to better understand the topic and hopefully get closer to the answer you seek. Good luck!

Divide 556 by 4 USING LONG DIVISION.

What are the numbers under the 556?
Answer as 1st row under 556
Next row under
Next row under
Next row under
Next row under
Next row under
What is the final answer?

Answers

Answer: 139

Step-by-step explanation:

first, 4 can go into 5 once so you would put one down --> 5-5= 1

bring down the one and then put down the 5 from the tens place

4 can go into 15 three times which would be 15-12 = 3

so at the top, you would have 13 so far

then with the 3 left bring down the 6 from the hundreds place from the 556

lastly, since 4 can go into 36 nine times you would put 9 down next to 13 on the top which would make it 139

(Sorry if it doesn't make that much sense)

4x^2-7; x= -2

4x^2-7x =

Answers

Step-by-step explanation:

f(x) = 4x² - 7 , x = -2

= 4x² - 7

= 4.(-2)² - 7

= 4.4 - 7

= 16 - 7

= 9

Solve for f can somebody help

Answers

Answer: f < 9

Step-by-step explanation:

first, cross multiply 2 and 2:

f - 5 < 4

f < 9

Answer:

f < 9

Step-by-step explanation:

=> (f-5)/2 < 2

multiplying both sides by 2

=> 2(f-5)/2 < 2×2

=> f-5 < 4

adding 5 to both sides

=> f-5+5 < 4+5

=> f < 9

Please solve this! I need it asap!

Answers

The differentiation of the given function is expressed as; 2x - √3(y) = 0

How to carry out Differentiation?

We want to differentiate the function;

x² - √3(xy) + 2y² = 12

To differentiate this means to express as;

x²(dy/dx)  - √3(xy)(dy/dx) + 2y²(dy/dx) = 12(dy/dx)

This gives us;

2x - √3(y) + 0 = 0

2x - √3(y) = 0

Thus, the differentiation of the given function is expressed as;

2x - √3(y) = 0

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Find the slope of the line passing through the points (-4,6) and (3,6)

Slope:

Find the slope of the line passing through the points (-5,8) and (-5,-6)

Slope:

Answers

Answer:
1. 0
2. Undefined

Explanation:
To find the slope of the two points, you first have to subtract the y1 from the y2 (6-6). Then, you do the same thing with the x1, and the x2 (3-(-4). Your slope is 0/7. 0/7 simplified is 0, since the 0 is the numerator, not the denominator.

Next, you can do the same thing with the second slopes. First is -6-8, which is the numerator, and then do -5-(-5), which is the denominator. Your answer comes out to -14/0. If the denominator is 0, the answer is will always be undefined.

Hope that helped!!

Required answer:

0Not Defined

Detailed explanation:

To find the slope of the line, given that it passes through two points, use the formula:

[tex]\bf{m=\dfrac{y_2-y_1}{x_2-x_1}}[/tex]

Where:

m = slope

Plug in the data:

[tex]\bf{m=\dfrac{6-6}{3-(-4)}=\dfrac{0}{3+4}=\dfrac{0}{7}=\boxed{\bf{0}}[/tex]

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

Given the pair of points: (-5,8) and (-5,-6), plug them into the slope formula:

[tex]\bf{m=\dfrac{y_2-y_1}{x_2-x_1}}[/tex]

Evaluate:

[tex]\bf{m=\dfrac{-6-8}{-5(-5)}=\dfrac{-14}{-5+5}=\dfrac{-14}{0}=\boxed{\bf{Not\:De fined}}[/tex]

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

|1/4 x +2| -3 =5 solve for x and graph on number line

Answers

The value of x on the number line is 24 and - 40

A number line in elementary mathematics is a representation of a graduated straight line that acts as an abstraction for real numbers, represented by the letter R. It is assumed that every point on a number line corresponds to a real number, and that every real number corresponds to a point.

When seen as a geometric space, namely the one-dimensional Euclidean space, the number line, also known as a real line in advanced mathematics, is technically defined as the set R of all real numbers. It can be conceptualized as a linear continuum, metric space, topological space, vector space (or affine space), measure space, or topological space.

The given equation is

[tex]|\frac{1}{4}x+2 | -3=5[/tex]

Solving the equation:

[tex]or,|\frac{1}{4}x+2 | =5+3\\or,|\frac{1}{4}x+2 |=8\\or,\frac{1}{4}x+2=\pm8\\or,x+8=\pm32\\or,x=-8\pm32[/tex]

Now we take the two separate values of x:

either x=-8+32 or x=-8-32

or,x=24 or x=-40

The value of x is 24 and - 40.

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HELP PLEASE!!!!!! Anaya bought a sweater that was on sale. The sweater originally cost $34.50 but was purchased for $27.60. What percentage of the original price was the discount?

Answers

Answer: 80%. Hope this helps, please consider making me Brainliest.

Step-by-step explanation:

To find the percentage, divide the sale cost by the original cost:

27.60/34.50

Let's multiply both sides by 10 to make the operation easier:

27.6/34.5 ( I eliminated the zero's because they kind of have no use) -->

276/345, now solve:

276/345 = 0.8

0.8 = 80%

The percentage is 80%.

mr drew wants to build a square sandbox with an area of 100 square feet. What is the length of wood Mr.Drew needs to.make the sides of the sandbox

Answers

Answer is 10’ boards to make a square
10’ x 10’ x 10’ x 10’ sandbox.

Reason

Area of a square is Side^2.

We know the area of the square is 100

So take √100 = 10

Problem solved!

determine the values of the missing entries. reduce all fractions to the lowest terms
9x-6y= 18

Answers

By evaluating the given linear relation, we conclude that the complete table is:

x:  2, 0, 1, 14/3

y: 0, -3, -3/2, 4

How to determine the values of the missing entries?

Here we have the linear relation:

9x - 6y = 18

And we want to complete the given table, to do so, we just need to evaluate the relation in the given values and with that we can find the missing ones.

For example, the first pair has y = 0.

Evaluating that we get:

9x - 6*0 = 18

9x = 18

x = 18/9 = 2

Then we have the pair (2, 0).

The second has x = 0, replacing that we get:

9*0 - 6*y = 18

y = 18/-6 = -3

So we have the pair (0, -3)

The third has x = 1, replacing that:

9*1 - 6y = 18

-6y = 18 - 9 = 9

y = 9/-6 = -3/2

So we have the pair (1, -3/2)

The last value on the table is y = 4, replacing that:

9x - 6*4 = 18

9x - 24 = 18

9x = 18 + 24 = 42

x = 42/9 = 14/3

Then the complete table is:

x:  2, 0, 1, 14/3

y: 0, -3, -3/2, 4

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This is a conversion graph between litres and gallons. Use the graph to convert 60 gallons to litres

Answers

Disclaimer: The conversion graph is missing in the question.

60 gallons is equal to 227.125 litres.

Refer to the attached image for the conversion of litres to gallons.

And gallons to litres.

In this image, a vertical line is drawn from the given value of gallon until it meets the cross line. And then a horizontal line is drawn, which touches the litres line.

At the point at which this horizontal line touches the litres line, that value is considered as the corresponding litres for the given gallons.

Similarly, a vertical line is drawn from the litres line until it meets the cross line. And then a vertical line is drawn, which touches the gallons line.

At the point at which this vertical line touches the gallons line, that value is considered as the corresponding gallons for the given litres.

Learn more at:

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a boy weighs 90 pounds on earth but 34.5 pounds on mars how much does a 600 pound man weigh on mars

Answers

Answer:

230lb

Step-by-step explanation:

The Boy weighs 90 lb on earth and 34.5 on the Moon.

90/34.5= 2.608695652

The boys weight on earth divided by his weight on the moon is equal to the difference in weight

So for a 600 lb guy

600/2.608695652 = 230

The guys Earth weight divided by the difference in weight is equal to his moon weight.

How many solutions does the following system of equations have? 5x−2y=10 y=5/2x-5

Answers

Answer:

Infinite number of solutions

No unique solution

Step-by-step explanation:

5x - 2y = 10    (1)

y = 5/2x - 5       (2)

Multiply (2) by 2 to get
2y = 5x - 10  

Rewrite the above equation as 5x - 2y = 10 (3)

Since both equations are the same, we are provided with a single equation in 2 variables there are infinite solutions

find the distance between the two points in simplest radical form. (-2,1) and (-8,-7)

Answers

Answer:

10

Step-by-step explanation:

Use the distance formula to determine the distance between two points.
√[(x₂ - x₁)² + (y₂ - y₁)²]

What is an equation of the line that passes through the point ( − 3 , − 1 ) (−3,−1) and is perpendicular to the line x − 2 y = 6 x−2y=6?

Answers

The equation of the line passing through given points (-3, -10) and perpendicular to other is y + 2x + 7 = 0.

When the equation of line in point-slope form?A line's equation in point slope form is (y - y₁) = m. (x – x₁). As a result, the equation of a line with slope m passing through the origin is: y - 0 = m(x = 0), i.e. y = mx.where m is the line's slope and  (x₁,  y₁) are the coordinates of a provided point on the line .

The equation of the perpendicular line is given as;

x − 2y = 6

Write the equation in standard form;

y = x/2 - 3

Where, slope of the line m₁ is (1/2) and y -intercept is (-3).

The other line passing perpendicular on this line has a slope: m₂.

The relation between slopes of perpendicular lines are-

m₁ × m₂ = -1

m₂ = -1/m₁

m₂ = -1/(1/2)

m₂ = -2

Now, the coordinates of the line are: (-3, -1)

The equation of the line will be;

(y - y₁) = m₂ (x – x₁)

Put the values;

(y - (-1)) = -2(x - (-3))

y + 1 = -2x - 6

y + 2x + 7 = 0

Thus, the equation of line is y + 2x + 7 = 0.

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Divide 4 and 5 over 6 ÷ negative 2 and 1 over 7.

Answers

Answer:

I don't get the question will please can u snap it so I can see it my self and I will help u

Answer: -2 1 over 2

Step-by-step explanation:

The mean diameter of holes produced by a drilling machine is 4.05mm and the standard deviation of the diameter is 0.0028mm. for 20 holes drilled using this machine. determine , correct to the nearest whole number how many hare likely to have diameters of between
a) 4.048 and 4.0553
assuming they are normaly distributed

Answers

The hole having the diameters likely between 4.048 and 4.0553 is 17.

Maximum value of diameter = 4.05 + 0.0028 = 4.0528

Minimum value of diameter = 4.05 - 0.0028 = 4.0472

So, the diameters of the holes are in AP with common difference

= (2 × 0.0028) / 20 = 0.00028

So, the AP is:

4.0472, 4.04748, 4.04776, 4.04804, …, 0.0.0528

So, the first 3 terms are not included between 4.048 and 4.0553

Hence, the answer is 20 - 3 = 17

Therefore, the hole having the diameters likely between 4.048 and 4.0553 is 17.

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Please this question correctly if you answer right I’ll give u brainlest

Answers

Answer:

Subtraction

Step-by-step explanation: Your subtracting 4 to the equation

subtraction property
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how to write a literary essay about Mxolisi's childhood and how it shaped him to be the person he is? When millennial-generation college women explore nontraditional career options, they tend to _______. How are each kind of engineers contributing to solving climate change? Exercise 2 Draw one line under each simple subject and two lines under each compound predicate in the following sentences.Movies are neither produced nor directed like stage shows. Need someone to check my grammar errors and things I could do to improve my story for class. Tell me what I need to fix.It's 3:30 PM, and Henry Jay Parker has arrived home at his house on 213 Buenavista Street. He opens his wooden front door and proceeds to enter his home. Mr. Parker places his golden keys on his desk and, a moment later takes a hot pocket out of the fridge. He heats the Hotpocket in the microwave and waits two minutes. Time is up, and Henry goes to his bedroom to watch the television. He skims through the channels until, at last, he stops at the cooking channel. He began to eat his hot pocket while he listened to and observed the chef's techniques and the recipe for cooking a perfect egg. Mr.Henry finally finishes his food only to realize his hunger has not been satisfied. 4:20 PM, Henry takes a nap and dreams that he is falling. Henry wakes up screaming, his face is, drenched in sweat. Henry sighs in relief, and he says, "Thank god! It was just a dream." Henry gets up from his bed and goes to get a glass of water. Henry gets his glass of water, and he goes back up to his bedroom. He sits on his chair and watches the television once again, but he switches the channel to the news. He saw a news report about a man who ran away from a gunman who broke into his home. Henry watches the report with disgust, believing that the man in the report was a coward and not a real man. He mutters to himself, " I tell you what, no man gonna come into my house and put a darn gun to my head, and if he does, he gonna get one heck of a fight." He continues on his angry rant until at last, he goes to his fridge to get a soda. He takes his soda, then he pulls a cigar, and he, drinks, and smokes on his patio. He finishes his soda, and then he smokes another cigar. He checks the time and sees it is 8:30 PM, so he steps off his porch and, he goes back to his bedroom. Henry lies down on his bed, and he struggles to fall asleep. He rolls over, and he closes his eyes to no avail. 3:00 AM Henry has yet to fall asleep he is in a bitter mood. It's morning Henry didn't get any sleep, so he sets off to work in a bitter rage; he walks down the street and sees the mailman running from a white pit bull.Henry is displeased by this sight and tells the mailman to stop being a coward and fight the pit bull. Henry continues walking until suddenly, he falls into a hole on the sidewalk. 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