Amotorboat traveled for 2 hours with an 8km/h current. the return trip against the same current took 3 hours. find the speed of the motorboat in still water.

Let x be the unknown speed, y the unknown distance.

distance equals speed times time.

"With" an 8kph current means our speed is x+8. 2 hours with an 8 kph current gets is a distance y:

y = 2(x + 8)

Against the current, speed x-8, took 3 hours to go y:

y = 3(x-8)

Equating,

2(x+8)=3(x-8)

2x + 16 =3x - 24

40 = x

40 km/h

Check: 2(40+8)=96 km. 3(40-8)=3(32)=96 km. Equal, good.

$650 per month plus utilities

step-by-step explanation:

just based on the info you gave, it would seem more cost effective to rent at $650 per month plus utilities.   if utilities are, in fact, $150 per month, your monthly living costs would be $800 as opposed to the other option of $825.

the circumference of a circle is, 10.676 cm.

step-by-step explanation:

the formula for circumference of a circle is given by:

where

c is the circumference of a circle and

d is the diameter of a circle.

given: diameter(d) = 3.4 cm and use

substitute these values in [1] we get;

cm

therefore, the circumference of a circle is, 10.676 cm