A cake decorator can decorate 6 cakes in 90 mintues. At this rate, how many cakes could he decorate during his 8-hour workday if he takes two -15 mintue coffee breaks?

30 cakes.

Step-by-step explanation:

Given:

A cake decorator can decorate 6 cakes in 90 minutes.

Question asked:

At this rate,how many cakes could he decorate during his 8-hour workday if he takes two -15 minutes coffee breaks?

Solution:

Total number of hours, he work = 8 hours

1 hour = 60 minutes

8 hours = 60 8 = 480 minutes

Coffee break = 2 of 15 minutes, 15 + 15 = 30 minutes

Remaining working hour = 480 - 30 = 450 minutes

In 90 minutes, he decorate number of cakes = 6

In 1 minute, he decorates number of cakes =

In 450 minutes, he decorates number of cakes =  

Therefore, at this rate, he can decorate 30 cakes.

reduce the friction between its moving parts

step-by-step explanation:

in fact, by reducing the friction between the moving parts of the machine, it is possible to reduce the energy wasted due to this friction; therefore, more input energy is converted into useful work, and this will improve the efficiency of the machine.

y = 3x+4

step-by-step explanation:

to find the slope

slope = (y2-y1)/ (x2-x1)

    = (-8-4)/ (-4-0)

    = -12/-4

  = 3

using the slope intercept form of a line

y= mx+b

we know the slope is 3

we know the y intercept is 4 ( the point where it crosses the y axis or x=0)

y = 3x+4