Suppose you write the set {1000, 1001, 1002,..., 2000} in base 10. Then you record this set in base 5 and find the number in the new set whose digits have the least sum. What is this number, written in decimal notation? This number is

Answers

Answer 1

Decimal notation is a way of expressing a number in base ten but with a decimal part. Therefore, from the given question;

The number required is 1500The number in decimal notation is 1500.0

Number bases is a method of expressing numbers in different notations with respect to the required base. When given numbers in base ten, it is required to divide it by the number base for conversion using long division method so as to convert it to any required base. So converting each element in the given set to base 5, we have:

{1000, 1001, 1002, 1003, 1004,......, 2000}

So that:

i. 1000 converted to base 5, we have:

5  1000

5   200  r 0

5     40   r 0

5     08   r 0

5      01   r 3

       00  r 1

⇒ [tex]13000_{5}[/tex]

ii. 1001 converted to base 5, we have:

5  1001

5   200  r 1

5     40   r 0

5     08   r 0

5      01   r 3

       00  r 1

⇒ [tex]13001_{5}[/tex]

iii. 1002 converted to base 5, we have:

5  1002

5   200  r 2

5     40   r 0

5     08   r 0

5      01   r 3

       00  r 1

⇒ [tex]13002_{5}[/tex]

So then, the set in base 5 is:

{13000, 13001, 13002, 13003, 13004,......, 31000}

To determine the number whose digits have the least sum;

a. 13000 = 1 + 3 + 0 + 0 + 0 = 4

b. 13001 = 1 + 3 + 0 + 0 + 1 = 5

c. 13002  = 1 + 3 + 0 + 0 + 2 = 6

d. 13003 = 1 + 3 + 0 + 0 + 3 = 7

e. 13004 = 1 + 3 + 0 + 0 + 4 = 8

.        .        .      .    .       .           .

.        .        .      .    .       .           .

z. 31000 = 3 + 1 + 0 + 0 + 0 = 4

Thus it would be observed that in base five, 1000, 1500 and 2000 digits gave the least sum of 4, so then:

[tex]\frac{1000+1500+2000}{3}[/tex]  = 1500

The number is 1500The number in decimal notation is 1500.0

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Answer 2

Answer:

I think its 1500

Step-by-step explanation:

1500


Related Questions

The algebraic expression that represents twice the sum of some number and 3 is?


n + 2(3)


2(n + 3)


2 + n + 3


2n + 3

Answers

Answer:

2(n+3)

Step-by-step explanation:

The sum to 3 = n+3

That sum doubled (~twice) = 2(n+3)

Answer:

2(n+3)

Step-by-step explanation:

Let's look at the statement:

'twice the sum of some number and 3'

Twice means 2 multiplied by something.

What is that something? It is the sum of some number and 3.

Let's replace the some number with variable n.

So it becomes the sum of n and 3, which translates to n+3.

So you put the two parts together:

2 multiplied by (n+3), rewritten as 2(n+3).

If 40 hours is a full work week and any thing over 40 is overtime or time and a half. If u worked 50 hours one week, and 55 hours the second week how much would ur pay check be

Assuming u make 15 dollars a hour for normal pay?

Answers

Answer:

first week would be $750 second week would be $825

If your pay is every two weeks it would be $1575

Step-by-step explanation:

Please show your graph if you’re in K12, no confusing graphs please. graph the line for y + 1= - 3/5 (x-4)

Answers

Answer:

Graph Below:

Which fractions are equivalent to 1/5?


Select each correct answer.


2/8


2/10


20/100


3/12

Answers

Answer:

2/10&20/100

Step-by-step explanation

hope it helps

please mark brainliest

can someone help me solve this problem? (photo) ​

Answers

Answer:

[tex] - \sqrt{ - (2 \times 2 \times 2 \times 2 \times 3)} [/tex]

[tex]4 \sqrt{ - 3} [/tex]

hope it's helps

answer is B)-4root3

Answer:

[tex]-4i\sqrt{3}[/tex]

Step-by-step explanation:

[tex]\sqrt{-1} =i[/tex]

[tex]\sqrt{a} \sqrt{b} =\sqrt{ab}[/tex]

[tex]-\sqrt{-48} =-\sqrt{-1} \sqrt{48} =-i\sqrt{16} \sqrt{3} =-4i\sqrt{3}[/tex]

Hello please help with this question.

Answers

Answer:

77.32°

Step-by-step explanation:

Use sine to find the measure of ∠A:

sine = opposite / hypotenusesin A = 80/82m∠A = arcsin (80/82) = 77.32°

PLS HELP, I WILL MARK U BRAINLIEST!How many natural numbers less than 200 are divisible by the given number.
4 but not divisible by 12.

Answers

Step-by-step explanation:

6, 9, 12, 18, 24, 27, 30, 36, 42, 45, 48, 54, 60, 63, 66, 72, 78, 81, 84, 90, 96, 99, 102, 108, 114, 117, 120, 126, 132, 135, 138, 144, 150, 153, 156, 162, 168, 171, 174, 180, 186, 189, 192, 198

I think that's your answer

Answer:

34

Step-by-step explanation:

numbers divisible by 4 :

4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80, 84, 88, 92, 96, 100, 104, 108, 112, 116, 120, 124, 128, 132, 136, 140, 144, 148, 152, 156, 160, 164, 168, 172, 176, 180, 184, 188, 192, 196, 200

numbers divisible by 12 :

12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144, 156, 168, 180, 192

numbers divisible by 4 but not by 12 :

4, 8, 16, 20, 28, 32, 40, 44, 52, 56, 64, 68, 76, 80, 88, 92, 100, 104, 112, 116, 124, 128, 136, 140, 148, 152, 160, 164, 172, 176, 184, 188, 196, 200

34

How to find the distance between two points.

Answers

Answer:

you take your small number and multiply it by the big number

Step-by-step explanation:

Find the values of x and y.

Answers

70+35=105
180-105=75(sum of angle in a triangle is 180)
180-75=105(cyclic angles are equal to 180)
105+70=175
180-175=5 (sum of angle in a triangle is 180)
5x=5
X=1
Y=105

help please
denominator only

Answers

Answer:

2+3=5 3-5=2

Step-by-step explanation:

that's the answer

Help!! You have about 4+ hours to answer!! Help!!

Answers

Answer:

I think I'm doing this right?

Step-by-step explanation:

4.3

----

a. 4.3

b. 4.3

c. 4

Answer:

1. 4.30

2. 4.3

3. 4

Step-by-step explanation:

a. hundredths

4.30 is exactly in between 4.29 and 4.31

a. at the top: 4.31

a. at the bottom: 4.29

a. in the middle: 4.30

b. tenths

4.3 is exactly in between 4.2 and 4.4

b. at the top: 4.4

b. at the bottom: 4.2

b. in the middle: 4.3

c. ones

4 is in the middle of 3 and 5

c. at the top: 3

c. at the bottom: 5

c. in the middle: 4

330,000,000,000,000,000,000,000 mass using a one-digit whole number times a power of 10.

Answers

Answer:

Step-by-step explanation:

330,000,000,000,000,000,000,000 has 22 zeros, so we can immediately say

33x10^22

This should be expressed using just a single decimal point, so we can move the decimal point two more spaces to the left, and add 2 to the exponent:

3.33x10^23

The question states a one digit whole number, so make it 3x10^23, although it seems an insult to the 0.33.  Go with the one you prefer.

40% of students surveyed said
that they are night owls. If 300
students said they are night
owls, how many students were
surveyed?

Answers

Answer:

750 students.

Step-by-step explanation:

a purple paint mixture calls for 4 pints of blue paint for every 3 pints of red. how many pints of blue paint do you need,if you use 6 pints of red?

Answers

Answer:

You will need 8 pints of blue paint!

Step-by-step explanation:

At the first the problem shows us the purple paint mixture needs 4 pints of blue and 3 pints of red if the red has 6 pints which is doubled you should also double the blue paint!   Hope this helps please mark the brainliest it means a lot to me and thanks! <3

Answer:

8 pints

Step-by-step explanation:

The purple paint mixture needs 4 pints of blue and 3 pints of red, and if the red paint has 6 pints that is doubled. You should also double the blue paint.

The explains how the answer is 8

now, this katie girl stop deleting my answer-

What are the possible integer values of x when 3 < x < 7.

Answers

Answer:

4,5 and 6

Step-by-step explanation:

If 3<x that means x>3

If x<7 that means 7>x

possible integer values are 4,5 and 6

Convert 6 fluid ounces into cups.

Answers

Answer:

0.75 cups

Step-by-step explanation:

.75 cups is the answer


pls help! i will mark you brainliest !

Answers

Answer:

24

Step-by-step explanation:

True or false.The perimeter is the boundary of a shape or an object.

Answers

True.
In geometry, the perimeter can be defined as the path or boundary that surrounds a shape.

How many solutions does 7( X -5 ) = X +13

Answers

Answer:

x=8 (one solution)

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

7(x−5)=x+13

(7)(x)+(7)(−5)=x+13(Distribute)

7x+−35=x+13

7x−35=x+13

Step 2: Subtract x from both sides.

7x−35−x=x+13−x

6x−35=13

Step 3: Add 35 to both sides.

6x−35+35=13+35

6x=48

Step 4: Divide both sides by 6.

x=8

Answer:

x = 8 (one solution)

Step-by-step explanation:

7x - 35 = x + 13

-x            -x

6x - 35 = 13

     +35   + 35

6x = 48

divided by six on both sides

x = 8

Solve the given equation

x – 1 + 5x = 23

Answers

Step-by-step explanation:

x - 1 + 5x = 23

6x - 1 = 23

6x = 23 + 1 = 24

6x = 24

x = 24/6

x = 4 ans.

HOPE THIS ANSWER HELPS YOU DEAR! TAKE CARE.

PLS HELP WILL MARK BRAINLIEST, PLS HURRY

Answers

multinomial, i believe
hope this helps!

1. At time t=0,500 bacteria are in a petting dish, and this amount triples every 15 days.
2.The half-life of a substances is 400 years. Initially, there are 100 g of substance.
3. Suppose that a couple invested Phone 50,000 in an account rate is 4,4% compounded annually.


Pakisagot pO pls pls ipapasa nA namin bukas

Answers

Answer:

4 better inbox

Step-by-step explanation:

solve pls brainliest

Answers

Answer:

1:none

2:c

3:b

4:a

Step-by-step explanation:

Answer:

A=4    B=3   C= 2  and 1 is none

Step-by-step explanation:

Just look at each shape and imagine or draw out how it would look unfolded.

Task 2: Components of Your Will
Describe the components of your will and how you will specify each one.
Type your response here:

Answers

My will? Wym my will
Are you talking about the will when I die? Or

Graph the line x = -6 on the axes delta math

Answers

Answer:

Draw a vertical line on a graph, with the x-axis at -6

this line should be parallel to the y-axis, but shift to the left 6 units.

Step-by-step explanation:

Eugene's grandmother is teaching him how to make her salsa recipe. Each batch of salsa requires 1
4
of a cup of red onions. If they have 11
2
cups of red onions, how many batches of salsa can they make?

Answers

22 batches. 10/2 cups of red onions is 20 batches. 1/2 cups of red onions is 2 batches. 20 + 2 = 22.

i just want to make question of this simplify plz solve question fast​

Answers

Answer:

I believe 100

Step-by-step explanation:

He had 18 then got 32 from his mom leaving him with 50 and tripled it so 150 and he gave 25 to both his sister so 25+25=50 so 150-50=100

please give brainliest

I really need help with this one it's due today!!

Answers

Answer:

-2/3

3/2

Step-by-step explanation:

So to have a line parallel the equation is: m1 = m2, meaning the slope (represented by m in this equation) is equal. So in the equation. 3y = - 2x + 4 you need to simplify the equation by dividing both sides by 3. Which would be like so: y = - 2/3x + 4/3, which the slope will be -2/3.

To be perpindicular you need the slope to be: m1 * m2 = - 1. So because we already know that the slope is -2/3, all we need to do is set up an equation: -2/3 * y = - 1

-2/3y = - 1

multiply both sides by 3/-2

y = 3/2

what is twin prime ? ​

Answers

Answer:

A twin prime is a prime number that is either 2 less or 2 more than another prime number

Express 8.4km/min in km/hr

Please answer quickly i have exam tomorrow!!!

Answers

Answer:

540km/hr

Step-by-step explanation:

8.4km/min×60min/km

=8.4/60

=540km/hr

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