Answer:
28 minutes
Step-by-step explanation:
we know that
1) A factory manufactures a metal piece in 32 minutes
2) New technology allowed the factory to cut that time by 8%
Remember that

In this part 32 minutes represent the 100%
To find out how long it take to manufacture the piece, multiply 32 minutes by the factor 0.92

3) Then another improvement cut the time by 5%
Remember that

In this part 29.44 minutes represent the 100%
To find out how long it take to manufacture the piece now, multiply 29.44 minutes by the factor 0.95

Answer:
25.2
Step-by-step explanation:
6/5 is 1.2, so it takes 1.2 minutes to run one lap.
This means 21 x 1.2 = the minutes it takes to run 21 laps around the track.
Therefore it takes 25.2 minutes to run around the track 21 times.
3200 plus 1800 is 5000.
So find the percentage of 5000 1800 is.
So 36%
Answer:

Step-by-step explanation:
<u>Given: </u>
line y=3x-1
point (-3,0)
<u>Write:</u> equation of the line that is perpendicular to the given and passes through the point (-3,0)
<u>Solution:</u>
The slope of the given line is 
If
is the slope of perpendicular line, then

So, the equation of the needed line is 
Find b. This line passes through the point (-3,0), so its coordinates satisfy the equation:

Step-by-step explanation:


Note that


Therefore,
