Answer:
There are 3,900 tickets of $28 each and 1,100 tickets of $40 each sold.
Step-by-step explanation:
x = the number of $28 tickets
y = the number of $40 tickets
x + y = 5000
28x + 40y = 153200
x = 3,900 tickets
y = 1,100 tickets
Y=-1
Move all terms containing x to the left side of the equation.
Subtract 3x from both sides of the equation.
2x-3x=−5
Subtract 3x from 2x
−x=-5
Multiply each term in -x=−5 by −1
Multiply each term in −x=−5 by −1
(-x) ⋅ -1=(-5) ⋅-1
X=(-5) ⋅-1
multiple -5 by -1
X=5
Since x=5 is a vertical line, the slope is undefined.
Undefined
The equation of a perpendicular line to
x=5 must have a slope that is the negative reciprocal of the original slope.
M perpendicular = -1/∞
The negative reciprocal of ∞ is 0
M perpendicular is 0
Since the slope for the perpendicular line is 0 ,the line is perpendicular to the y-axis. The equation of this line is of the form
y=c when c is any real number. The equation of the line at point (-2 ,1)
Y=-1
I hope you understand this
Answer:
Length of the rectangle = 16.5 feet
Step-by-step explanation:
Border length bought = 62.5 feet
Including 5 feet extra
Border length needed = 62.5 feet - 5 feet
= 57.5 feet
Border needed = perimeter of the rectangle = 57.5 feet
Width of the rectangle = 12.25 feet
Length of the rectangle = x feet
Perimeter of a rectangle = 2(Length + width)
57.5 =2(x + 12.25)
57.5 = 2x + 24.5
57.5 - 24.5 = 2x
33 = 2x
x = 33/2
x = 16.5 feet
Length of the rectangle = 16.5 feet
Let the number be x
1/2 of x=14
x/2=14
x=14x2
x=28
The number is 28
