8minutes-2minutes=6minutes
6×80 copies = 480 copies
Answer:
Option C 
Step-by-step explanation:
<u><em>Verify each expression</em></u>
case A) we have

In this expression the term of n is 6n
so
has a coefficient of positive 6
case B) we have

In this expression the term of n is -5n
so
has a coefficient of negative 5
case C) we have

In this expression the term of n is n
so
has a coefficient of positive 1
case D) we have

In this expression the term of n is -n
so
has a coefficient of negative 1
Step-by-step explanation:
Distance = (Rate)(Time) So, Time = (Distance)/(Rate)
Time at slower speed = Time at faster speed + 3
36/x = 36/(x+6) + 3
Multiply the equation by the LCD, x(x+6) to obtain:
36(x+6) = 36x + 3x(x+6)
36x + 216 = 36x + 3x2 + 18x
3x2 + 18x - 216 = 0
x2 + 6x - 72 = 0
(x + 12)(x - 6) = 0
x = -12 or x = 6
Since x can't be negative, x = 6 mph
Answer:
The tallest truck that can pass under the overpass would be 9 feet in height
Step-by-step explanation:
This problem can be represented by an ellipse with a vertical major axis of the standard form:
(x-h)^2/b^2+(y-k)^2/a^2=1, a>b, (h,k)=(x,y) coordinates of center.
center: (0,0) (center line of road)
a=15 ft (height of overpass at center)
a^2=225
b=10 (1/2 the width of the road)
b^2=100
equation of ellipse:
x^2/100+y^2/225=1
The point at which a truck 16 ft wide would touch the overpass would have and x-coordinates �8 ft from center. Its y-coordinate is the answer to given problem.
Plug in x=8 ft in equation to solve for y.
8^2/100+y^2/225=1
y^2/225=1-64/100
y^2=225-225*64/100=81
y=9 ft
Part 1) The value of x is 5
Part 2) The length of line AB is 5 inches
Part 3) The length of BC is 15 inches