A bicyclist was going from point A to point B at a speed of 12 km/hr. On the way back he increased his speed to 18 km/hr and covered the distance in 15 minutes less. What is the distance between point A and point B?.

9 km

Step-by-step explanation:

Let's say he takes x hours going from point A to point B and y hours going back

y = x - 15 minutes

note that x is in hours, so we must convert

15 minutes = 1/4 of an hour = 0.25 hours

y = x - 0.25 hours

distance = speed * time

on the way there:

distance = 12 km/hr * x

on the way back:

distance = 18 km/hr * y

plug y = x-0.25 hours into the way back equation

distance = 18 km/hr * (x-0.25 hours)

distance = 12 km/hr * x

the distance is the same, so set these equations equal to each other

12 km/hr * x = 18 km/hr * (x-0.25 hours)

12 km/hr * x = 18 km/hr * x - 4.5 (km/hr * hours) = 18 km/hr * x - 4.5 km

subtract 18 from both sides to put all variables on one side

-6 km/hr * x = -4.5km

divide both sides by -6 km/hr to isolate x

x = 4.5/6 hours = 3/4 hours = 45 minutes

distance = 12 km/hr * 3/4 hours = 9 km

the data of the detroit pistons in numerical order from least to greatest is 0.30, 0.37, 0.55, 0.62, 0.69, 0.72, 0.73, 0.75, 0.77, 0.78, 0.80, 0.81, 0.81, 0.83, 0.84, 0.89

the data of the miami heat in numerical order from least to greatest is 0.50, 0.50, 0.56, 0.57, 0.67, 0.72, 0.72, 0.72, 0.75, 0.75, 0.76, 0.81, 0.82, 0.90, 1.00, 1.00

the detroit pistons median : 1.52

the miami heat median: 1.47

the iqr of this data is 0.05

total amount to be paid = $19.5

step-by-step explanation:

given ,

original price = $25.99

discount = 25%

discount amount = 25% of original price

discount amount = 25/100   * 25.99

discount amount = $6.49

hence , the total amount to be paid = original price - discount amount

                                                            = $25.99 - $6.49

                                                            =$19.5

total amount to be paid = $19.5