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
natali 33 [55]
3 years ago
8

what is the smallest number of integer kilogram weights needed to weigh every whole kilogram between 1kg and 40kg?​

Mathematics
1 answer:
lisabon 2012 [21]3 years ago
6 0

9514 1404 393

Answer:

  4

Step-by-step explanation:

We assume you are using a balance, and that weights can be put in either pan. In that case, weight values can be either added or subtracted, so there are 3 possibilities for the contribution each weight makes. In other words, we need to find how many digits are required to count to 40 in base 3.

The largest 3-digit number in base 3 is ...

  3^2 +3^1 + 3^0 = 13 (base 10)

The largest 4-digit number adds 3^3 = 27 to this: 27 +13 = 40.

Hence, we can weigh values 0 to 40 using 4 weights, of sizes 1, 3, 9, 27.

__

Some example weights are ...

  5 = 9 - 3 - 1

  38 = 27 + 9 + 3 - 1

where the "negative" weights are placed in the same pan as the unknown.

You might be interested in
What is the equation of the given line in standard form? Use integer coefficients (no decimals or fractions!). y = 3 over 5x - 3
Mazyrski [523]

Since this tells us that the y-intercept is .Remember the y-intercept is the point where the graph intersects with the y-axis So we have one point Now since the slope is comprised of the "rise" over the "run" this means Also, because the slope is , this means: which shows us that the rise is 3 and the run is 5.

Please mark brainliest! :)

6 0
3 years ago
What is the value of x in the equation 0.2(x + 1) + 0.5x = –0.3(x – 4)?
Leokris [45]
 0.2(x + 1) + 0.5x = -0.3(x - 4) 

0.2x+0.2+0.5x=-0.3x+1.2

 
 

0.7x+0.2=-0.3x+1.2 

0.7x=-0.3x+1.2-0.2 

0.7x=-0.3x+1 

0.7x+0.3x=1 

x=1
8 0
3 years ago
Read 2 more answers
What does SOH,CAH,TOA mean?​
Mice21 [21]

Answer:

Use Sin if Opposite Hypotenuse, Use Cosine if Adjacent Hypotenuse, and Use Tangent if Opposite Adjacent

7 0
3 years ago
Simplify:<br> -3/8+ (-1/4)
Salsk061 [2.6K]
Answer:

Exact form: - 1/8

Decimal form: -0.125
6 0
3 years ago
What type of relationship does this pair of angles have? A.They are complementary angles.
Zinaida [17]
The answer to this question is D
3 0
3 years ago
Other questions:
  • Bananas cost $0.54 per pound and grapes cost $1.28 per pound. Leanne bought 2.6 pounds of bananas and 3.1 pounds of grapes. How
    11·1 answer
  • What is the answer? Please answer soon!
    7·1 answer
  • You have a can that is in the shape of a cylinder. It has a volume of about 1,728 cubic centimeters. The height of the can is 22
    7·1 answer
  • Write the following whole number in expanded notation.<br> 95,835
    12·1 answer
  • Write an express for the speed of the boat coming back from the island in terms of the other boats speed. Let x be the speed of
    12·2 answers
  • 14% of the town's population is over the age of 65. If there are 320 residents over the age of 65, approximately what is the tow
    7·1 answer
  • Which of the following is the graph of f(x) = |x|? An image of a graph. An image of a graph. An image of a graph. An image of a
    13·1 answer
  • Elena goes for a long walk this graph shows her time and distance traveled throughout the walk what was her fastest speed in mil
    5·1 answer
  • A kid has 3 balls he gives his friends 2 how many do they have left
    6·2 answers
  • One bag of dog food is $32 if I spend a total of $256 how many bags did I buy
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!