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

Answers

Answer 1
Answer:

To find the length of each flight, we can use the formula: distance = speed x time.

Let's assume the length of the outbound flight (from the starting point to the destination) is x miles. Since the flight averages 460 miles per hour, the time taken for the outbound flight can be calculated as x/460 hours.

For the return flight, which averages 500 miles per hour due to the tailwind, the time taken can be calculated as x/500 hours.

The total flying time for both flights is given as 4 hours and 48 minutes, which can be converted to hours as 4 + 48/60 = 4.8 hours.

Using this information, we can set up the equation:

x/460 + x/500 = 4.8

To solve this equation, we can multiply through by the common denominator of 460 and 500, which is 230,000:

500x + 460x = 4.8 * 230,000

960x = 1,104,000

x = 1,104,000 / 960

x ≈ 1,150

Therefore, the outbound flight is approximately 1,150 miles long.

To find the duration of each flight, we can substitute this value back into the equations:

Outbound flight duration = 1,150 miles / 460 miles per hour ≈ 2.5 hours

Return flight duration = 1,150 miles / 500 miles per hour = 2.3 hours

Hence, the outbound flight lasts approximately 2 hours and 30 minutes, while the return flight lasts approximately 2 hours and 18 minutes.


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Carol and Jan leave from the same place and travel on the same road going the same direction. Carol walks at a rate of 2 miles per hour. Carol left 5 hours earlier than Jan, but Jan rides a bike at a rate of 6 miles per hour. How far did the travel when Jan caught up to Carol?

Answers

Let, the time when Jan cough up to Carol = x

We know, Distance = Speed * Time.

So, Equation would be: 2x + 5*2 = 6x

2x + 10 = 6x

6x - 2x = 10

4x = 10

x = 10/4 = 2.5

Distance traveled in that time = 2.5 * 6 = 15 miles

In short, Your Answer would be: 15 miles

Hope this helps!

Write 9.55 as a mixed number

Answers

9.55 as a mixed number would be 9 11/20.

9.55 = 9 55/100 = 9 11/20

Hope this helps !

A catering company charges a $300 set up fee and $10 per person for a lunch buffet. Approximately how many people must attend the lunch so that the total cost per person is $14?

Answers

Answer:

Let x be the number of person and y be the total cost per person.

As per the statement:

A catering company charges a $300 set up fee and $10 per person for a lunch buffet.

"$10 per person" translated to 10x

then;

Total cost per person = 10x+300

It is also given that: total cost per person is $14.

14x=10x+300

Subtract 10x from both sides we have;

4x = 300

Divide both sides by 4 we have;

x = 75

Therefore, 75 number of people must attend the lunch so that the total cost per person is $14


CATERING TOTAL COST  F(X) = 10X + 300

TOTAL REQUIRED                       14X

                                                  10X + 300 = 14X

                                                   10X - 14X = -300

                                                            -4X = -300

                                                              4X = 300

                                                                X= 300/4

                                                                 X=75  <------------------SOLUTION

Can anyone help me, i dont understand this. will give you all my points, and brainliest. Match the transformation with the correct representation.
g(x)=f(x)+n A horizontal shift of f , n units left
g(x)=f(x)- n A vertical shift of f, n units up
g(x)=f(x+n) A vertical shift of f, n units down
g(x)=f(x-n) A horizontal shift of f , n units right

Answers

Step-by-step explanation:

Transformations of graphs are fairly simple. Start with a parent function, or g(x) = f(x).

To move the graph UP or DOWN, add that number on the outside of the parenthesis with x: g(x) = f(x) + n is up, g(x) = f(x) - n is down.

To move the graph RIGHT you must SUBTRACT from inside the parenthesis. g(x) = f(x - n)

To move the graph to the LEFT you must ADD from inside the parenthesis . g(x) = f(x + n)

Determine the number of solutions to a system of equations.y = -6x-2, y = -6x-2
One Solution
No Solution
Infinitely Many Solutions
y = 0.5x + 5, y = 0.5x + 1
y = 0.25x - 2. y = 5x - 4
y = 2x + 3. y = 4x -1
y = 2x + 1.5, y = 2x + 1.5
y = -x - 3y = -x + 3

Answers

y = - 6x - 2 and y = - 6x - 2 has infinitely many solutions.

y = 0.5x + 5 and y = 0.5x + 1 has no solution.

y = 0.25x - 2 and y = 5x - 4 has one solution.

y = 2x + 3 and y = 4x -1 has one solution.

y = 2x + 1.5 and y = 2x + 1.5 has infinitely many solutions.

y = -x - 3 and y = -x + 3 has has no solution.

What is a linear equation?

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

  • If the slopes are different then one solution.
  • If the slopes are the same but intercepts are different then no solution.
  • If the slopes and intercepts are the same then infinitelymany solutions.

y = - 6x - 2 and y = - 6x - 2 has infinitely many solutions.

y = 0.5x + 5 and y = 0.5x + 1 has no solution.

y = 0.25x - 2 and y = 5x - 4 has one solution.

y = 2x + 3 and y = 4x -1 has one solution.

y = 2x + 1.5 and y = 2x + 1.5 has infinitely many solutions.

y = -x - 3 and y = -x + 3 has has no solution.

More about the linear equation link is given below.

brainly.com/question/11897796

#SPJ2

Step-by-step explanation:

When we compare 2 system of equations (of the form y = mx + c), we take note of the following things:

  • If the values of m and c in both equations are the same, they have infinitely many solutions
  • If only the value of m is the same, they have no solutions
  • If neither is the same, they have 1 solution

Bearing this in mind, we have the following answers:

y = -6x - 2 and y = -6x - 2

=> Infinitely many solutions

y = 0.5x + 5 and y = 0.5x + 1

=> No solutions

y = 0.25x + 2 and y = 5x - 4

=> 1 solution

y = 2x + 3 and y = 4x - 1

=> 1 solution

y = 2x + 5 and y = 2x + 5

=> Infinitely many solutions

y = -x - 3 and y = -x + 3

=> No solutions

Complete the inequality with >, <, or =.

72 _____ 34

Answers

Answer:

>

Step-by-step explanation:

which ever the arrow is opening up to, is the greater number bro