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

Answers

Answer 1

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.


Related Questions

Write an equivalent expression 2x + 3 + 5x + 6 by combining like terms.
Please help I need it fast!!!!!!

Answers

answer: 7x + 9

you add the x terms together and add 3 and 6 together

Answer:

Step-by-step explanation:



Tyler also wants to leave a tip for the server. How much do you think he should pay in all? Explain your reasoning.

Answers

Easy split the overall top

I NEED HELP ASAP!!!!!!

What is the slope-intercept equation?

A). y= -8x -3

B). y= 2/3x -3

C). y= -2/3x +3

D). y= 2/4x + 3

Answers

Answer: C) y= -2/3 + 3

Step-by-step explanation:

7). Select all the correct answers, Which tables represent constant functiona? 2-1 20 211 2 3 4 -7 6 11 213 413 * 2/12 3127 1 1 121.​

Answers

Answer:

see the image attached

Step-by-step explanation:

i really need help fast

Answers

Answer:

x=2

Step-by-step explanation:

Since rectangles have 90* angles at each corner, we can say the two equations in the corner equal to 90*

so,

13x+34+10x+10=90

23x+44=90

23x=46

x=2

Enter an expression equivalent to (a^9/a^3) in the form a^m

Answers

Answer:

Step-by-step explanation:

[tex]\frac{a^{9} }{a^{3} } =>[\frac{a^{3} }{a} ]^{3}[/tex]

The zeros of a polynomial function are 1/2, -4 and -1. What are the factors?

Answers

Answer:

The factors are;

(x + 4) , (x + 1) and (2x-1)

Step-by-step explanation:

Given the zeros, we want to get the factors

To get the zeros, we simply equate the factors to zero and solve for x

so for x = 1/2

we can have x - 1/2 = 0

multiply through by 2

= 2x - 1

for x = -4

x + 4

for x = -1

x + 1

So the factors are;

(x + 1) , (x + 4) and (2x-1)

A rectangular garden is 5.24 meters wide and 7.08 meter long. How much fencing will it take to enclose the garden

Answers

Answer:

37.0992 meters

Step-by-step explanation:

37.0992 square meters fencing will it take to enclose the garden

What is Area of Rectangle?

The area of Rectangle is length times of width.

A rectangular garden is 5.24 meters wide and 7.08 meter long.

Width=5.24 meters

Length=7.08 meter

We need to find fencing will it take to enclose the garden

Area=Length×Width

Seven point zero eight into five point two four.

Area=7.08×5.24

=37.0992

Hence, 37.0992 square meters fencing will it take to enclose the garden

To learn more on Area of Rectangle click:

https://brainly.com/question/20693059

#SPJ2

What is the solution to 3(4x - 8) = 4(6 - 3x) ?

Answers

Answer:

2

Step-by-step explanation:

distributive

12x-24=24-12x

combining terms

12x-24+12x=24

24x-24=24

24x=48

x=48/24

x=2

3(4x - 8) = 4(6 - 3x) =

x=2

th term of a seq uence is n(n-4) /n+3 Work out the sum of the 1st and 6th terms.

Answers

Answer:

7/12

Step-by-step explanation:

The nth term Tₙ = n(n-4) /n+3.

The 1st term T₁ = 1(1 - 4)/(1 + 3) = -3/4

The 6th term T₆ = 6(6 - 4)/(6 + 3) = 6(2)/9 = 2(2)/3 = 4/3

So,  the sum of the 1st and 6th terms is T₁ + T₆ = -3/4 + 4/3

= (-9 + 16)/12

= 7/12


A recipe calls for 24 eggs to 4 cakes. The unit rate is the number of eggs per
each cake. What is the number of eggs per each cake?

Answers

The unit rate of the eggs for each cake is 6. Because 24/4=6

HELP PLEASE
Write an equation of a line perpendicular to line CD below in slope-intercept form that passes through the point (−1, 6). Line CD is shown. C is at 1, 1. D is at 3, 5.
A) y = −0.5x − 5.5
B) y = −0.5x + 5.5
C) y = 2x + 13
D) y = 2x − 13

Answers

Answer:

i believe it's b:))

Step-by-step explanation:

Answer:

I don't know but I am pretty sure it can't be C or D.

Step-by-step explanation:

The slope of line CD simplifies to 2, so for the perpendicular line to be perpendicular, it must be an opposite reciprocal, meaning -1/2 or -0.5. I don't know what B equals though, whether it is positive or negative.

Hope that helps. (:

Your uncle lives 20 miles away. So far, your family has driven 6 miles toward your uncle's house. How
much farther is it to your uncle's house?

Answers

14 miles 20-6!!! Good luck

Answer:

14 miles

Step-by-step explanation:

If 6 less than one third of Christine age is no more than 18 , how old is she . And how did u get the answer

Answers

Answer: >72

Step-by-step explanation:

x*1/3-6=<18

1/3*x=<24

x=<72

Christine is more than 72 years old

Question 4 (1 point)
At Papa's Pizza, a small pizza has
a diameter of 8 inches and a large
pizza has a diameter of 11 inches.
How much greater is the area of a
large pizza than a small pizza?
PLEASE HELP!!!!!

Answers

Answer:

Well  the answer would be 3 inches to figure it fully out my best guess is 3

Step-by-step explanation:

If the vertices of APQR are P(0,0), Q (2,0) and R(1,3),
classify the triangle.

Answers

Answer:

ΔPQR is a isosceles triangle

Step-by-step explanation:

P (0,0) Q (2,0) R (1,3)

PR² = (3-0)² + (1-0)² = 10

RQ² = (3-0)² + (1-2)² = 10

PR = RQ

ΔPQR is a isosceles triangle

NEED HELP ASAP WHAT IS THE ANSWE (GIVING AWAY POINTS IF YOU ANSWER)

Answers

Answer:  (1,2)

Step-by-step explanation:

For a graph the solution is where the lines cross, and if you look closely, the lines intersect at x=1 and y=2. You are right

Answer:

(1,2)

Step-by-step explanation:

20 POINTS LEGIT ANSWERS ONLY! can someone explain how I do this in steps and examples? (picture below)

Answers

It’s not 20 points tho...

CAN SOMEONE PLEASE HELP ME WILL MARK BRAINLIESTTT

Answers

Answer:

375 cm

Step-by-step explanation:

Answer:

375 miles.

Step-by-step explanation:

If 1 inch = 50 miles, then 7.5 inches =

7.5 x 50 = 375.

Good luck! <3

.
The price p of a pizza is $6.75 plus $0.75 for each of the t toppings on the pizza.

Answers

6.75+0.7=7.5 or 7.50


Which equation is NOT equivalent to 1/25
A) 53.5-5
B) 5-1.5-1
C) 53.5
D) 5-2.54

Answers

Answer:

i think its b

Step-by-step explanation:

Exponential part 3. :) thx ☺️

Answers

Answer:

Answer will be 4

Step-by-step explanation:

Okay, again solve all the exponents.

16^5/4=32

16^1/4=2

Multiply 32x2= 64

For the denominator:

16^1/2= 4

4^2= 16

Your left with 64/16

Divide 64/16 and that will give you 4

I mean I got 1/4 hey you should probably check your answer again

Please Help ASAP! The question is in the picture.

Answers

Answer:

$150012.84 or $150013 rounded

The growth factor is 1.07

Step-by-step explanation:

First create the equation:

y=1.07x+150,000

Then substitute:

y=1.07(12)+150,000

Calculate:

y=150012.84

I NEED THIS NOW HELLLPPP PLDDD

Answers

Answer:

-7/2

Step-by-step explanation:

Use two points.

(6, -21) and (12, -42)

slope = (y2 - y1)/(x2 - x1)

slope = (-42 - (-21))/(12 - 6)

slope = -21/6

slope = -7/2

ASAP ASAP ASAP PLS ANSWER ASAP ASAP ASAP

Answers

Answer:

You need 2.11 quarts of strawberries

and 3.17 pints of blueberries

Step-by-step explanation:

2.11 quarts of strawberries

3.17 pints of blueberries

The point (0, 5) is the midpoint between (-18,-10) and what other point?

Answers

the other mid point would be (4, 5) if its wrong im

really sorry but im pretty sure its the right answer.

Factorise x^2 + x - 12

Answers

Answer:

(x+4)(x-3)

Step-by-step explanation:

I'm italian. I used a formula that we Italians call "somma e prodotto". Tell me if it's correct.

Hello friend I am sending you this picture

Samuel purchased 212 pounds of nuts for $10.50.

How much will 514 pounds cost?

Enter your answer in the box.

Answers

Answer:

$22.05

Step-by-step explanation:

2 1/2/10.5=5 1/4/x

55.125=2 1/2x

x=22.05

Hope this helps plz hit the crown :D

Answer:

22.05

Step-by-step explanation:

HOPE THIS HELPS

The slope is the same between any two points on the same line.
False
True

Answers

Answer:

true

Step-by-step explanation:

if there are two points all on the same line the slope wont change.

what is the area of the triangle? 3, 6, 6.7

Answers

Answer:

A=12bh

Step-by-step explanation:

Answer:

bxh/2 thant is the area of the rectangle please mark me  at a brainliest

Step-by-step explanation:

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