Answer:
The lines would be parallel because their slopes are the same and their y-intercepts are different.
Step-by-step explanation:
First, start with the two equations:
y = 7x + 15
y = 7x + 4
So for lines to be parallel, they must have the same slope. For lines to be perpendicular, one of the lines must be the negative reciprocal of the other. In other words, it should be the opposite sign (+ or -) and the reciprocal (flip the numerator and denominator.
In this case, the lines are in slope-intercept form:
y = mx + b
so the slope is already given.
Slope of line 1 = 7x
Slope of line 2 = 7x
Because these lines have the same slope but different y-intercepts, they would be parallel to each other. You can check this by graphing it.
The contribution made by each sale is
.. $135 -75 = $60
To make $3300, the store must sell
.. $3300/($60/bicycle) = 55 bicycles
The store must sell 55 bicycles each month to break even.
Answer:
x=4
Step-by-step explanation:
2(8 - 12x) + 8x = -25x + 52
Distribute
16 -24x +8x = -25x +52
Combine like terms
16 - 16x = -25x +52
Add 25x to each side
16 -16x+25x = -25x+52+25x
16+9x = 52
Subtract 16 from each side
16+9x-16 = 52-16
9x = 36
Divide by 9
9x/9 = 36/9
x =4
The IDs are of the form DDDDDLL, where D is a digit and L is a letter. There are 10 digits and 26 letters in English.
This gives you 10*10*10*10*10*26*26 possible combinations, or that many possible students who can use that system.
That’s 67,600,000 students.