The table below shows the different times it takes Paula to drive to her grandmother’s house depending on the rate at which she drives. Rate vs. Time
Rate (mph)
30
40
50
60
Time (h)
2.5
1.875
1.5
1.25

If one day Paula rides a scooter to her grandmother’s house at a constant rate of 24 miles per hour, how long should it take her?
2.625 hours
2.75 hours
3.125 hours
3.75 hours

Two bags, A and B, each contain only green marbles and red marbles.

There are 6 green marbles and 4 red marbles in bag A.

There are 8 green marbles and 2 red marbles in bag B.

One marble is going to be taken at random from bag A and placed in bag B.

A marble is then going to be taken at random from bag B.

Work out the probability that this marble will be a green marble.​

Step-by-step explanation:

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is

answer: it's d

step-by-step explanation: