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.
9.55 as a mixed number would be 9 11/20.
9.55 = 9 55/100 = 9 11/20
Hope this helps !
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.
⇒
Subtract 10x from both sides we have;
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
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
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)
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
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.
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.
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.
#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:
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
72 _____ 34
Answer:
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Step-by-step explanation:
which ever the arrow is opening up to, is the greater number bro