The distance between the two airports is 252 miles
What is Speed?
Speed is defined as the rate of change of position of an object in any direction. Speed is measured as the ratio of distance to the time in which the distance was covered. Speed is a scalar quantity as it has only direction and no magnitude
Speed = Distance / Time
Given data ,
Let the distance between the two airports be = D
Now ,
Let the first airport be = A
Let the second airport be = B
And , the speed from Airport A to Airport B averaged = 280 mph
The speed from Airport B to Airport A averaged = 120 mph
The total time taken for the journey = 3 hours
So , the value of Time T = 3 hours
So , the equation will be
Time = Distance / Speed
Since , the distance between the airports remains the same on the journey,
Time = D/280 + D / 120
Substituting the values in the equation, we get
D/280 + D / 120 = 3
The LCM of 280 and 120 is 840 , so
( 3D + 7D ) / 840 = 3
On simplifying the equation , we get
Multiply by 840 on both sides of the equation , we get
10D = 2520
Divide by 10 on both sides of the equation , we get
D = 252 miles
Therefore , the value of distance D from the equation is 252 miles
Hence , The distance between the two airports is 252 miles
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Final answer:
By solving the equation 280t = 120(3 - t), we find that the time taken to fly to the city is 0.9 hours. Multiplying this by the speed of 280 mph, the distance between the two airports is determined to be 252 miles.
Explanation:
To find the distance between the two airports, we can use the formula distance = speed × time, but first, we need to find the time taken for each leg of the journey. Let t be the time (in hours) it takes for the plane to fly to the city at 280 mph. Hence, the time taken to return to the international airport at 120 mph will be 3 - t hours. We can establish the following equations based on this information:
To the city: 280t (since distance = 280 mph × t)
Returning: 120(3 - t) (since distance = 120 mph × (3 - t))
Since the distances are equal for both trips, we can set the equations equal to each other:
280t = 120(3 - t)
Solving for t, we get:
280t = 360 - 120t
400t = 360
t = 0.9
The time taken to fly to the city at 280 mph is 0.9 hours. Now we can find the distance:
Distance to the city = 280 mph × 0.9 h = 252 miles.
Therefore, the distance between the two airports is 252 miles.
What is the area of a triangle whose vertices are
R(−4, 2),S(1, 2), and T(−5, −4)?
Enter your answer in the box
If a number is rational then it must be a whole number true or false
what is another name for BD
Answer:
BD = DB
Step-by-step explanation:
Great question, it is always good to ask questions to get rid of any doubts that you may be having,
Assuming I am understanding the question correctly and assuming that we are talking about line segment. Line segments can be spelled or represented in any direction backwards or forwards. In this case we are talking about a line segment called BD therefore it can also be referred to as DB.
I hope this answered your question. If you have any more questions feel free to ask away at Brainly.
How to write an equation with an undefined slope?
Add. Write your answer in simplest form. 3/5 + 5/8
What is the solution to the following system of linear equations?
{4x - y = -6
{x - 2y = -5
Please explain how you solved!
Final answer:
The solution to the system of linear equations is x = -1, y = 2
Explanation:
To solve the system of linear equations:
4x - y = -6
x - 2y = -5
We can use the method of substitution or elimination to find the solution.
Let's use the elimination method. We can multiply the second equation by 4 to make the coefficients of x in both equations the same.
4(x - 2y) = 4(-5)
4x - 8y = -20
Now, we can subtract the second equation from the first equation to eliminate x.
(4x - y) - (4x - 8y) = (-6) - (-20)
-y + 8y = 14
7y = 14
y = 2
Substituting y = 2 back into the first equation:
4x - 2 = -6
4x = -4
x = -1
The solution to the system of linear equations is x = -1, y = 2
Marks canoes rents for $20 plus $35 per hour you do not want to spend more than $1.50.for how many hours can you afford to rent the canoe
which number belongs to the solution set of the equation below? 9x=114
A.14
B.16
C.12
D.18
A moving company charges a $2,000 fee plus $100 per hour. Another moving company charges an $1,800 fee plus $150 per hour. How long is a job for which the two companies' costs are the same?
The costs of two moving companies are the same for a job that lasts 4 hours.
To find out how long a job must last for the two companies' costs to be the same, we need to set up an equation where both company costs are equal and solve for the time variable, which I will denote as 't' hours.
The first moving company's cost can be represented as:$2,000 + $100 x t.
The second moving company's cost can be represented as: $1,800 + $150 x t.
To find the time when both costs are the same, we set the two expressions equal to each other:
$2,000 + $100t = $1,800 + $150t
Now, we need to solve for 't' by subtracting $100t from both sides and subtracting $1,800 from both sides:
$200 = $50t
Divide both sides by $50 to isolate 't':
t = 4 hours
So, the two companies would have the same cost for a 4-hour job.
Write each number as the product of its prime factors
1.) 76
2.) 35
3.)36
4.) 150
5.)180
6.) 520
please help i have 30 mins to get these answered!! :(
The number of hours per week that the television is turned on is determined for each family in a sample. the mean of the data is 3030 hours and the median is 26.226.2 hours. twenty-four of the families in the sample turned on the television for 1515 hours or less for the week. the 11th11th percentile of the data is 1515 hours. step 2 of 5 : approximately how many families are in the sample? round your answer to the nearest integer.
what is the measure of <DCF
Answer:
The measure of angle DCF is 129 degrees.
Step-by-step explanation:
Angle DCF is the sum of angle DCE plus angle ECF.
This is because, DCF is the main angle and DCE and ECF are its two parts.
Hence, the measure of angle DCF will be = [tex]75+54=129[/tex] degrees.
The answer is :
The measure of angle DCF is 129 degrees.
Write the equation of the line that is perpendicular to 5x+8y=16 and passes through (-5,7).
Kristen bought 2 candy bars for $1.29 each and a soda for$1.99. She had to pay $0.38 in tax. How much was her bill?
Answer:
$4.95
Step-by-step explanation:
1.29 * 2 = 2.58 + 1.99 = 4.57
4.57 + .38 = 4.95
If a system of linear equations has the unique solution (2, −3), then its graph consists of what?
parallel lines
lines that intersect at a single point
identical lines
a y-intercept at −3
Answer: B - lines that intersect at a single point
Answer:
Answer: B - lines that intersect at a single point
Step-by-step explanation:
glad i helped
Which statement is true about the line passing through points A and B?
A. The line has a finite length that can be measured.
B. There is only one way to name the line.
C. The line has infinitely many points.
D. There are only two points on the entire line.
What is an angle that is congruent to bgd?
Is the product of two integers positive negative or zero how can you tell?
what is the algebraic expression for the following word phrase: the quotient of 6 and the sum of 5 and y? A: 6/5-y B: 6/5+y C:6(5+y) D: 6/5 + 6y
The algebraic expression for the word phrase is;
⇒ 6/5+y
Option B is true.
Here,
The word phrase is;
''The quotient of 6 and the sum of 5 and y''.
We have to find the algebraic expression.
What is Mathematical expression?
The combination of numbers and variables by using operations addition, subtraction, multiplication and division is called Mathematical expression.
Now,
The word phrase is;
''The quotient of 6 and the sum of 5 and y''.
Quotient means fraction and sum of 5 and y is 5 + y.
Hence, The algebraic expression is;
⇒ 6 / 5+y
Therefore, The algebraic expression for the word phrase is;
⇒ 6/5+y
Option B is true.
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Factor this polynomial using the GCF: 3xy^2 + 3xy^2 - 3xy
3xy(y + x - 1)
-3xy(y + x + 1)
3x(y2 + x - 1)
3x^2(y2 + 1 - 1)
Find a cubic function with the given zeros. Square root of two., - Square root of two., -2 A. f(x) = x^3 + 2x^2 - 2x + 4 B. f(x) = x^3 + 2x^2 + 2x - 4 C. f(x) = x^3 - 2x^2 - 2x - 4 D. f(x) = x^3 + 2x^2 - 2x - 4
Find the sum of 2x 2 + 3x - 4, 8 - 3x, and -5x 2 + 2
Answer:
The answer is -3x^2+6
5/16t=-9
Plz help me ASAP and show all of the steps that you did! PLEASE HELP!!! :) 10 POINTS!!!!!
what is cos of negative pi/3?
what is sin of negative pi/3?
Select all of the following that are statements. The sun comes up in the east. He is six years old. The moon is made of green cheese. Do well in math. 3x + 4 = 17 Open the door. 7 x 6 = 42
what would 3/4 - 3/4 be?
The length of a rectangle is twice its width. if the perimeter of the rectangle is 54 ft , find its length and width.
Find the opposite and reciprocal of -1.8.
What is the perimeter of a square with an area of 144 square inches?
Can someone help me with 16 and 20? If you’re supposed to write a contrapositive and inverse, but the word not is already in the statement, what do you do?