At Niagra High, Mr. Borton bought 4 student tickets and 2 adult tickets for the high school musical which cost $64. then Mrs. Ge
1 answer:
Answer:
Each student ticket costs $8.33
Each adult ticket costs $15.34
Step-by-step explanation:
At Niagra High, Mr. Borton bought 4 student tickets and 2 adult tickets for the high school musical which cost $64. then Mrs. Gelvoria bought 3 student tickets and 3 adult tickets for the show and it cost her $72. How much are each type of tickets?
s = cost of each student ticket
a = cost of adult ticket
Our system of equations:
4s + 2a = 64
3s + 3a = 71
-3(4s + 2a = 64) ==> -12s - 6a = -192
2(3s + 3a = 71) ==> 6s + 6a = 142
-12s - 6a = -192
6s + 6a = 142
-6s = -50
/-6 /-6
s = $8.33 (the cost of each student ticket)
Now, let's find the cost of each adult ticket:
4s + 2a = 64
4(8.33) + 2a = 64
33.32 + 2a = 64
-33.32 -33.32
2a = 30.68
/2 /2
a = 15.34 (the cost of each adult ticket)
(x, y) ==> (8.33, 15.34)
Check your answer:
4s + 2a = 64
4(8.33) + 2(15.34) = 64
33.32 + 30.68 = 64
64 = 64
This statement is true
Hope this helps!
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Answer: Third option.
Step-by-step explanation:
According to the information given in the exercise, you can find an approximation of the the total cost in dollars of raising a child in the United States ( from birth to 17 years) given a household's annual income, with the following equation:
Where "x" represents the household's annual income in dollars.
Therefore, if the annual income is $62,500; you can identify that:
Then, in order to calculat the approximated cost to raise a child in a household with that annual income given in the exercise, you need to substitute that value of "x" into the equation and then you must evaluate in order to find the value of "y".
Through this procedure you get the following result:
Answer:
(11, -13)
Step-by-step explanation:
A is at (3, -5) and B is at (13, -15)
A point that is ⅘ of the way from A to B also divides the differences of the x-and y-coordinates in the same ratio.
For the x-coordinate,
x₂ - x₁ = 13 - 3 = 10
⅘ × 10 = 8
3 + 8 = 11
The x-coordinate of the point is x = 11.
For the y-coordinate,
y₂ - y₁ = -15 - (-5) = -15 + 5 = -10
⅘ × (-10) = -8
-5 + (-8) = -13
The y-coordinate of the point is at y = -13.
The coordinates of the point are then (11, -13).
The diagram below shows the point ⅘ of the way from A to B.
