A hiker walks at a speed of 3 2/5 km per hour. How many km will the hiker walk in 40 min?

2 4/15 km

Step-by-step explanation:

We know from the above question that:

A hiker walks at a speed of 3 2/5 km per hour.

Step 1

Convert 40 minutes to hour

60 minutes = 1 hour

40 minutes = x

Cross Multiply

60x = 40

x = 40/60

x = 2/3hr

Step 2

How many km will the hiker walk in 40 min?

The above question can be calculated as:

1 hour = 3 2/5km

2/3 hour = x km

Cross Multiply

1 × x km = 2/3 × 3 2/5 km

x km = 2/3 × 17/5 km

x km = 34/15 km

x km = 2 4/15 km

Hence the hiker would walk 2 4/15 km in 4 minutes

(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

5

step-by-step explanation: