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
For every 12 students that wore sneakers, there were 9 students that wore boots. How many students wore sneakers if 24 students
Olenka [21]

Answer:

C (32)

Step-by-step explanation:

12 sneakers / 9 boots = x sneakers / 24 boots

the ratio is 4:3 so divide 24 by 3 and multiply by 4

12 / 9 = (24 / 3 x 4) / 24

12 / 9 = 32 / 24

32 students wore sneakers

7 0
3 years ago
Read 2 more answers
If the triangles are congruent, then X=?
steposvetlana [31]

Answer:

Hi there!

The correct answer to this question is: x=3

Step-by-step explanation:

because these two triangles are similar, that means the hypotenuse are similar. which means you can set the sides equal to each other like this:

13 = 4x + 1   minus one on both sides and you should get 4x = 12 and then divide 4 on both sides and you should finally get x = 3

7 0
3 years ago
Hey im having ALOT of trouble on this assignment for math theres one question i cant get, its 2+2=
Gnesinka [82]
. . Hmmmmmmmmm, I wonder what the answer could be XD
7 0
3 years ago
Help me plz I don't get it !!!!!!!!
Alona [7]
Answer: B.

It grows 3 inches per week
3 0
3 years ago
Read 2 more answers
Please answer this 2 multiple choice questions correctly I needed today please show work
vredina [299]

Answer:

21) 12x + 11

hoped that worked

8 0
3 years ago
Other questions:
  • The height of a rectangle is increasing at a rate of 111111 centimeters per hour and the width of the rectangle is decreasing at
    10·1 answer
  • There are 4 cups in a quart and 4 quarts in a gallon. How many cups are in a 5 gallon jug of water?? Please show work...
    10·1 answer
  • What is the output of the fuction f(x)=x+21 if the input is 4
    14·1 answer
  • Please help me with this <br><br><br> Evaluate.<br><br><br><br> √121
    5·2 answers
  • How can you solve 314 times 22
    14·1 answer
  • Harry started a new job in 2003. His salary was $31,000. At the beginning of the next year he will receive a raise of $1500. Ass
    15·2 answers
  • Out of 25 attempts, a basketball player scored 17 times. One-half of the missed shots are what % of the total shots?
    12·2 answers
  • How to solve -222=5x-3(-7y-4)
    6·1 answer
  • The dot plot below shows the drawing scores of some students: A number line is shown from 1 to 5 in increments of 1. The horizon
    13·1 answer
  • HELP ME Look at the photo,
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!