PLS SHOW WORK! WILL GIVE BRAINLIEST! A bike tire has a diameter of 35 inches. If the tire rotates 10 revolutions, how far did the bike travel?

Distance travelled = 91.61 feet

Step-by-step explanation:

Given the following data;

Diameter, d = 35 inches

Number of revolutions = 10 Rev

To find the distance travelled by the bike;

First of all, we would determine the circumference of the bike's tire, which is circular in shape.

Circumference of circle = πd

Circumference of circle = 35π

Next, we multiply by the number of revolutions to get the distance travelled.

Distance travelled = 35π * 10

Distance travelled = 350π inches

But pie, π = 3.142

Distance travelled = 350 * 3.142

Distance travelled = 1099.7 inches.

In feet;

1 inches = 0.0833 feet

1099.7 inches = x feet

Cross-multiplying, we have;

x feet = 1099.7 * 0.0833

x feet = 91.61 feet

Distance travelled = 91.61 feet

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3

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