Shawn is coasting down a 500 cm long ramp on his inline skates. The wheels on his incline skates 32 cm in circumference. How many rotations does each wheel make while Shawn is coasting down the ramp. Round your answer to the nearest rotation.

Step-by-step explanation:

16 rotations

500/32 = 15.625

15.625 rounded = 16

Therefore, the answer is 16 rotations.

Why:

500 and 32 are both given to you in distance. By divided 500 by 32 will give you how many times the shorter distance can fit into the longer distance. This will then give you the amount of rotations in the greater distance.

Once you have the answer, it asks for you to round to the nearest rotation. 15.625 rounds to 16 because 6 is in the tenths place. And we all know a number 5 or greater rounds up. So, 16 is the correct answer.

It should be 16 rotations

Step-by-step explanation:

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is