Hi,
Equation:
Since the left side is always >0, the equation has no solution.
Hope this helps.
r3t40
For this case we have that, by definition, the equation of a line in the slope-intersection form is given by:
Where:
m: It's the slope
b: It is the cut-off point with the y axis
On the other hand, we have that if two lines are parallel then their slopes are equal.
We have the following equation of the line:
Rewriting we have:
Thus, the slope of the lines is
Then, a parallel line will have slope
Thus, the equation of the new line will be given by:
To find the cut-off point "b", we substitute the point through which the line passes:
Finally the equation is:
ANswer:
The number of tickets that should be purchased for the cost of both carnival to be equal is 10 tickets.
Assume the number of tickets to be purchased is x.
The expression for the total cost at Carnival M is:
= Entrance fee + (price of tickets x number of tickets)
= 5 + 0.50x
The expression for the total cost at Carnival P is:
= 7 + 0.30x
To find the number of tickers, equate both expressions:
5 + 0.50x = 7 + 0.30x
0.50x - 0.30x = 7 - 5
0.20x = 2
x = 2 / 0.20
= 10 tickets
10 tickets will need to be bought to both Carnivals for the cost to be the same.
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Answer:
B. 0.635
Step-by-step explanation:
Having a percent means its out of 100 so we can turn the percent into a fraction. 63.5/100
We cant have a decimal in our fraction, so we can multiply by 10 to get rid of it. (63.5*10)/(100*10)=635/1000
Since the denominator is a multiply of 10, we can convert the numerator into a decimal. .635
So your answer would be B. 0.635