apalacios3503
14.06.2021 •
Mathematics
American Airlines sold a certain number of tickets from Los Angeles to the bay island in Honduras. They charged $120 for flight x and the remaining tickets for $280 for flight y. If the airline sold 59 tickets and collected a total of $12,520 from the sale of those tickets. A) how many tickets of each flight were sold. B) how much money was made from each flight?
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Ответ:
y =34
x = 25
Money made from flight x = 3000
Money made from flight y = 9520
Step-by-step explanation:
Tickets sold
59= x+y
Amount of money
120x + 280y = 12520
Using substitution
x = 59-y
120( 59-y) + 280y = 12520
7080 - 120y +280y = 12520
Combine like terms
160y +7080 = 12520
Subtract 7080
160y = 12520-7080
160y =5440
Divide by 160
160y/160 = 5440/160
y =34
Now find x x = 59-y = 59-34 =25
x = 25
Money made from flight x =
120*x = 120*25 =3000
Money made from flight y =
280*y= 280*34=9520
Ответ:
A general line equation can be written as:
Where a is the slope and b is the y-intercept.
Here we will find that for N(x₁, y₁), the line q is:
If we know that the line passes through the points (x₁, y₁) and (x₂, y₂), then we can write the slope as:
In this case, we know that the line passes through (-4, -4) and (2, 3), then the slope is:
So the line is something like:
To find the value of b, we can use one of the two points, for example (2, 3) means that when x = 2, y must be equal to 3, then we can replace these two in the line equation to get:
Then the line LM is;
Now we know that line q is in the same coordinate plane, but does not intersect LM. This means that these lines are parallel, and remember that two parallel lines have the same slope, then the slope of line q is also 7/6.
Now we know that line q passes through point N, but we do not know the coordinates of point N, then let's use general coordinates as N(x₁, y₁)
Then line q will be:
To find the value of c we use the point N.
Then the equation of line q is:
If you want to learn more, you can read: