If the runner moves at 6 miles per hour for 2 hours before the cyclist starts, the runner has a 12 mile lead at the beginning. If the cyclist is going at 16 miles per hour, he is overtaking the runner at 10 miles per hour, because 16-6=10. Then, the amount of time it takes the cyclist to go 2 miles in 10 miles per hour is the answer. this is 1/5 of an hour, or 12 minutes.
Answer:
x > -8
Step-by-step explanation:
5 - (x+5) > -2(x+4)
5 - x - 5 > -2x -8
- x > -2x -8
-x +2x > -8
x > -8
The LEAST selling price of the laptop should be ;
$1024.1 in other to avoid loss.
Price of laptop = $770
Tax = 20%
VAT = 13%
TO avoid loss ; both the VAT percentage and TAX must be added to the price of the laptop:
Total percentage = VAT + TAX = (20 + 13) = 33%
THEREFORE, Least selling price should be :
Price of laptop * (1 + 33%)
770 * 1.33
= $1024.1
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y=3x-2 y=-2x+8
3x-2=-2x+8 (plus 2 each side)
3x=-2x+6 (plus 2x each side)
5x=6 (divide by 5 each side)
x=1.2
Plug x back into an equation
y=3(1.2)-2
y=3.6-2
y=1.6
Answer: (1.2, 1.6)
Answer:
The required function is P(x)=-1.3x+49.
Step-by-step explanation:
Let P(x) be the percentage of residents who regularly used the news outlet x years after 2000.
It is given that in 2000, 49 % of the residents in a large city regularly used newspapers for getting news.
Initial percentage of residents who regularly used the news = 49
It has decreased at an average rate of approximately 1.3 % per year since 2000.
It is decreasing by 1.3% so,
The slope intercept form of a line is
.... (1)
where, m is slope and b is y-intercept or initial value.
Substitute y=P(x), m=-1.3 and b=49% in equation (1).
Therefore, the required function is P(x)=-1.3x+49.