1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
zimovet [89]
3 years ago
9

Write 120 as a product of the prime numbers

Mathematics
1 answer:
natka813 [3]3 years ago
8 0
120=4\times30=2^2\times2\times15=2^3\times3\times5
You might be interested in
Two landscapers must mow a rectangular lawn that measures 100 feet by 200 feet. Each wants to mow no more than half of the lawn.
Citrus2011 [14]

The total area of the complete lawn is (100-ft x 200-ft) = 20,000 ft².
One half of the lawn is  10,000 ft².  That's the limit that the first man
must be careful not to exceed, lest he blindly mow a couple of blades
more than his partner does, and become the laughing stock of the whole
company when the word gets around.  10,000 ft² ... no mas !

When you think about it ... massage it and roll it around in your
mind's eye, and then soon give up and make yourself a sketch ...
you realize that if he starts along the length of the field, then with
a 2-ft cut, the lengths of the strips he cuts will line up like this:

First lap:
       (200 - 0) = 200
       (100 - 2) = 98
       (200 - 2) = 198
       (100 - 4) = 96    

Second lap:
       (200 - 4) = 196
       (100 - 6) = 94
       (200 - 6) = 194
       (100 - 8) = 92   

Third lap:
       (200 - 8) = 192
       (100 - 10) = 90
       (200 - 10) = 190
       (100 - 12) = 88 

These are the lengths of each strip.  They're 2-ft wide, so the area
of each one is (2 x the length). 

I expected to be able to see a pattern developing, but my brain cells
are too fatigued and I don't see it.  So I'll just keep going for another
lap, then add up all the areas and see how close he is:

Fourth lap:
       (200 - 12) = 188
       (100 - 14) = 86
       (200 - 14) = 186
       (100 - 16) = 84 

So far, after four laps around the yard, the 16 lengths add up to
2,272-ft, for a total area of 4,544-ft².  If I kept this up, I'd need to do
at least four more laps ... probably more, because they're getting smaller
all the time, so each lap contributes less area than the last one did.

Hey ! Maybe that's the key to the approximate pattern !

Each lap around the yard mows a 2-ft strip along the length ... twice ...
and a 2-ft strip along the width ... twice.  (Approximately.)  So the area
that gets mowed around each lap is (2-ft) x (the perimeter of the rectangle),
(approximately), and then the NEXT lap is a rectangle with 4-ft less length
and 4-ft less width.

So now we have rectangles measuring

         (200 x 100),  (196 x 96),  (192 x 92),  (188 x 88),  (184 x 84) ... etc.

and the areas of their rectangular strips are
           1200-ft², 1168-ft², 1136-ft², 1104-ft², 1072-ft² ... etc.

==> I see that the areas are decreasing by 32-ft² each lap.
       So the next few laps are 
               1040-ft², 1008-ft², 976-ft², 944-ft², 912-ft² ... etc. 

How much area do we have now:

             After 9 laps,    Area =   9,648-ft²
             After 10 laps,  Area = 10,560-ft².

And there you are ... Somewhere during the 10th lap, he'll need to
stop and call the company surveyor, to come out, measure up, walk
in front of the mower, and put down a yellow chalk-line exactly where
the total becomes 10,000-ft².   


There must still be an easier way to do it.  For now, however, I'll leave it
there, and go with my answer of:  During the 10th lap.

5 0
3 years ago
Help me pleaseee please please please
Gelneren [198K]
It’s the second one. -4(3-8x)
6 0
2 years ago
Read 2 more answers
What is the first step when solving this equation: 2(x-4)+6=3x+19
Delicious77 [7]
Solve the parenthesis
5 0
3 years ago
Read 2 more answers
If DE =22 cm and the radius=14cm, how long is GH?
Nadya [2.5K]
What is GH and DE? is there a picture lol
4 0
3 years ago
Five friends equally shared half of one large pizza and 1/4 of another large pizza. what fraction of each pizza did each friend
attashe74 [19]
1/2 divide by 5= 1/10
1/4 divide by 5=  1/20                              so    1/10 is also 2/20+1/20=3/20

so the answer is 3/20 of a pizza
 hope this helped and plz leave a thank you

3 0
3 years ago
Other questions:
  • Jeff is responsible for buying supplies of food and medication for the dogs and cats at a local shelter. The food and medication
    15·1 answer
  • A triangle has sides 12 2/3 inches, 10 1/3 inches, and 5 1/3 inches. What is the perimeter (distance around the edges) of the tr
    11·1 answer
  • I need help on this please
    6·1 answer
  • Find an equation of the plane. The plane through the points (0, 7, 7), (7, 0, 7), and (7, 7, 0).
    11·1 answer
  • Graph g(x), where f(x) = 2x − 5 and g(x) = f(x + 1).
    10·2 answers
  • Uranus distance from the sun in scientific notation
    6·1 answer
  • Which of the following numbers will increase the most in value if the digit 8 is replaced by 9.
    5·2 answers
  • 60 POINTS PLEASE HELP! If the parent function f (x) =log (x+1) were replaced by g (x)= -log(x-1) , how would the graph be affect
    15·1 answer
  • a 10 foot ladder is leaning against a wall if the ladder reaches 8 feet up the wall how far is the base of the ladder from the w
    11·1 answer
  • What number is one hundred times greater than 3,489​
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!