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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.

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jonathan has a collection of 400 marbles. Blue marbles make up17%, percent of his collection. How many blue marbles does Jonatha
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Another way u can do it is 17% of 100 four times since its easier to do. 
17% of 100 is 17.
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What number must you add to complete the square x^-8x=39
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Answer:

Given equation: x^2-8x =39

when we complete the square , we take half of the value of 8 , then square it, and added to the left sides, we get;

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Notice that, we add this both sides so that it maintains the equality.

then;

x^2-8x+4^2 = 39 +4^2

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The number must be added to complete the square is, 4^2 = 16



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3 years ago
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Find the circumference of a circle whose radius is 4 feet. Use 3.14 for Pi.
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Answer:

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Step-by-step explanation:

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Plug in 3.14 for pi and 4 for the radius.

C = 2(3.14)(4)

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Step-by-step explanation:

given,

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