Joe has a bicycle with a front wheel that is 2 feet in diameter. how far does joe travel if his wheel turns exactly 100 complete revolutions in one directions? 314 feet

628 feet

1256 feet

6280 feet

Given:

The diameter of the wheel is 2 feet.

Number of revolution = 100

To find:

The total distance covered by the bicycle.

Solution:

The circumference of a circle is:

Where, r is the radius of the circle.

The diameter of the wheel is 2 feet. So, the radius of the circle is 1 feet.

Putting in the above formula, we get

It means the distance covered by the wheel in one revolution is 6.28 feet.

Number of revolution is 100. So, the total distance covered by the wheel in 100 revolution is:

The total distance covered by the bicycle in 100 revolution is 628 feet.

Therefore, the correct option is B.

simplifying

5(x + -6) = 2(x + 3)

reorder the terms:

5(-6 + x) = 2(x + 3)

(-6 * 5 + x * 5) = 2(x + 3)

(-30 + 5x) = 2(x + 3)

reorder the terms:

-30 + 5x = 2(3 + x)

-30 + 5x = (3 * 2 + x * 2)

-30 + 5x = (6 + 2x)

solving

-30 + 5x = 6 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-30 + 5x + -2x = 6 + 2x + -2x

combine like terms: 5x + -2x = 3x

-30 + 3x = 6 + 2x + -2x

combine like terms: 2x + -2x = 0

-30 + 3x = 6 + 0

-30 + 3x = 6

add '30' to each side of the equation.

-30 + 30 + 3x = 6 + 30

combine like terms: -30 + 30 = 0

0 + 3x = 6 + 30

3x = 6 + 30

combine like terms: 6 + 30 = 36

3x = 36

divide each side by '3'.

x = 12

simplifying

x = 12

this should .