Bob is hiking down a 15-mile country trail. He could hike at 5 mph for the first 2 hours and then go the rest of the way at 3 mph or he could just go the whole way at 4 mph. How long would each of these options take? Which option is the faster?

The First Option: 3 2/3 hours

The Second Option: 3 3/4 hours

The First Option is fastest.

Step-by-step explanation:

First part- 5mph for 2 hours 5·2=10 (D=T·S)

15-10=5 because 15 is the total distance and 10 is the first part.(T=D/S)

Second part- 5/3= 1 2/3

5/3 because 5 is the distance left, and 3 is the speed. The time is 1 2/3 hours.

4mph 15m (T=D/S)

15/4= 3 3/4 hours

x > 1.3

step by step:

8.5−0.9x> 9.8−1.9x

step 1: simplify both sides of the inequality.

−0.9x+8.5> −1.9x+9.8

step 2: add 1.9x to both sides.

−0.9x+8.5+1.9x> −1.9x+9.8+1.9x

1x+8.5> 9.8

step 3: subtract 8.5 from both sides.

1x+8.5−8.5> 9.8−8.5

1x> 1.3

step 4: divide both sides by 1.

1x/1 > 1.3/1

f(x)=2/3x+4/3 is the answer because is whose power in the senate is equal to the power of the speaker of the house?

step-by-step explanation: