Nerine combines walking (at 6 km/hr) and running (at 18 km/hr) in her fitness program. Last week she exercised a total of 10 hours and traveled 108 kilometers. How many hours did she walk?

A) 5 hours
B) 6 hours
C) 4 hours
D) 8 hours
E) 2 hours


B) 6 hours

Mathematics

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For the following pair of equations, predict whether they represent parallel lines, perpendicular lines, or lines that intersect but are not perpendicular.8.4x + 8.1y = 8.7 and 8.1x - 8.4y = 2.1 

A. parallel lines B. lines that intersect but are not perpendicular C. perpendicular lines

Mathematics

Evaluate the improper integral.

A.
B.
C.
D.

Mathematics

Provide an appropriate response.A human cannonball is to be fired with an initial speed of 80 ft/sec. The circus performer hopes to land on a cushion located 190 feet downrange at the same height as the muzzle of the cannon. The circus is being held in a large room with a flat ceiling 33 feet higher than the muzzle. Can the performer be fired to the cushion without striking the ceiling? If so, what is the proper firing angle? (g = 32 ft/sec2)

What will be an ideal response?

Mathematics

Show that the given shape will tile the plane. There may be more than one correct answer. If the figure does not tile the plane, state this.

What will be an ideal response?

Mathematics