John and tim are driving opposite directions on the same road. John is driving 15 mph and Tim is driving 22 mph. How long will it take for them to be 407 miles apart

11 hours

Step-by-step explanation:

John's velocity:  15mph

Tim's velocity: 22mph

in one hour of driving John will be 15 miles away from the starting point, and Tim will be 22 miles away from the starting point.

Thus, after one hour they will be

15 + 22 = 37 miles apart.

We can represent this on the following table:

Distance(miles)     time (hours)

              37          ⇔        1

And since we need to know the time when they are at a distance of 407 miles:

Distance(miles)     time (hours)

              37          ⇔        1

              407          ⇔        x

where x represnts the time

we solve this problem using rule of three: multiply the cross quantities on the table (407 and 1) and divide by the remaining amount (37):

x = 407*1/37

x = 407/37

x = 11

it will take 11 hours for them to be 407 miles apart.

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.

quit

step-by-step explanation: