. If covering 11 km the wheel of a cart makes 5000 revolutions. Find the radius of the
circle.

The radius of the circle is 35 cm

Step-by-step explanation:

One revolution of the wheel of a cart = the length of the circumference of the wheel

Let the radius of the wheel be r cm

The circumference = 2 X pi X r

In 5000 revolutions the wheel covers 2 X pi X r X 5000 cm

According to the problem,

2 X pi X r X 5000 = 11 X 1000 X 100

or, pi X r = (11 X 1000 X 100)/(2 X 5000)

or, r = 110 / pi

or, r = (110 X 7)/22

= 35

Here is the answer.

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3