John went on a bike ride to the store 4 miles away. If it took 3/10 of and hour to get there and 1/2 of an hour to get back, what was his average rate of speed for the entire trip

10mph or 10 miles per hour

Step-by-step explanation:

From the question,

John ride 4 miles to the store and 4 miles back

Total distance travelled = 4 miles + 4 miles

= 8 miles

Total time travelled

Time to the store = 3/10 of an hour

Time back from the store = 1/2 of an hour

Total time travelled

= 3/10 + 1/2

= (3 × 2) +(10 × 1)/20

= 6 + 10/20

= 16/20

= 4/5

Total time travelled= 4/5 hour

His average rate of speed for the entire trip formula =

Speed = Total distance travelled (miles)/ Time (hour)

= 8/(4/5)hour

= 8 ÷ 4/5

= 8 × 5/4

= 40/4miles/ hour

= 10 miles/ hour

Therefore, his average rate of speed for the entire trip is 10 miles/hour

what

region b will make the inequalities y < 2x + 1 and y > -x - 2 true ⇒ answer a

step-by-step explanation:

* lets study the graph and the inequality to solve the question

- the inequality y > -x - 2

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = -2 that means the line intersect the y-axis at point (0 , -2)

∵ the sign of the inequality is >

∴ we shad the part over the line

  region a and b

- the inequality y < 2x + 1

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = 1 that means the line intersect the y-axis at point (0 , 1)

∵ the sign of the inequality is <

∴ we shad the part under the line

  region b and c

∵ the common region between the two lines is region b

∴ region b will make the inequalities y < 2x + 1 and y > -x - 2 true