Write the following fraction as a decimal. 2
2 answers:
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Answer:
Number of student tickets sold are 57 and general tickets sold are 68.
Step-by-step explanation:
Let the number of student tickets = x and the number of general tickets = y.
It is given that in total 125 tickets were sold.
So, we have,
Also, students tickets is sold for $6 each and the general tickets are sold for $10 each.
Since, the total cost of the tickets is $1022.
So, we get,
Thus, the system of equations obtained is,
x + y = 125 ........................(1)
6x + 10y = 1022
Multiply equation (1) by 6 gives us,
6x + 6y = 750 ............................(2)
6x + 10y = 1022 .........................(3)
Subtact (2) from (3), we get,
10y - 6y = 1022 - 750
i.e. 4y = 272
i.e. y= 68.
So, equation (1) gives,
x = 125 - y
i.e. y = 125 - 68
i.e. y = 57
Hence, the number of student tickets sold are 57 and general tickets sold are 68.
a = 1, b =14 and y-coordinate is 6 when x = 0.
Solution:
Let us first write the equation of a line.
Take the points are (2, 2) and (6, 10).
Slope of the line:
m = 2
Point-slope formula:
y - 10 = 2(x - 2)
y - 10 = 2x - 4
Add 10 on both sides,we get
y = 2x + 6
Equation of a line is y = 2x + 6.
To find (a, 8), substitute x = a and y = 8 in the equation,
8 = 2a + 6
Subtract 6 from both sides, we get
2 = 2a
a = 1
To find (4, b), substitute x = 4 and y = b in the equation,
b = 2(4) + 6
b = 8 + 6
b = 14
Substitute x = o in the equation.
y = 2(0) + 6
y = 6
The y-coordinate is 6 when x = 0.