How many of the first million positive integers share no common factors greater than 1 with 2020

Answers

Answer 1

9514 1404 393

Answer:

  396,040

Step-by-step explanation:

Factors of 2020 are 2, 5, 101.

There are 1,000,000 / 1010 = 990 multiples of 2 and 5 and 101.

There are 1,000,000 / 505 -990 = 990 multiples of 5 and 101 only.

There are 1,000,000 / 202 -990 = 3,960 multiples of 2 and 101 only.

There are 1,000,000 / 10 - 990 = 99,010 multiples of 2 and 5 only.

There are 1,000,000 / 101 -990 -990 -3960 = 3,960 multiples of 101 only.

There are 1,000,000 / 5 -990 -990 -99,010 = 99,010 multiples of 5 only.

There are 1,000,000 / 2 -990 -3960 -99,010 = 396,040 multiples of 2 only.

So, the total number of multiples of any factor of 2020 is ...

  990 +990 +3960 +99,010 +3960 +99010 +396040 = 603960

Then the number of integers in the first million that do not share any common factors greater than 1 with 2020 is ...

  1,000,000 -603,960 = 396,040


Related Questions

I need help solving 10 ! Please

Answers

8/-1=-1/-1

=-8

the answer is -8

Please help polynomial stuff​

Answers

12. (2f^2-8f)/2f
don’t have time for the next one sorry

Mr. Kelly has 50 coins, all of which are either nickels or dimes. They have a
value of $3.85. Set up a system of equations to find out how many of each coin
Mr. Kelly has.

Answers

So i think its $4.35.

Step-by-step explanation:

I did addition to find out this answer my calculations seem to be correct.

$3.85 + 50 cents = 4 dollars and 35 cents

if lines intersect, does that make it, one solution, no solution, or infinite solution?​

Answers

Answer:

one solution

Step-by-step explanation:

No solution is when they don't intersect at all. Infinite solutions is if the two lines are on top of each other.

Answer:

one solution

Step-by-step explanation:

if they intersect, they become one solution, if they don't intersect, than there are no solutions. If the graphs of the equations are the same, there are infinite solutions.


1. Which of these can be written as an equation?

Answers

Answer:

4×w+3 is the correct answer

Step-by-step explanation:

Dont need one

PLZZZZZZZZZZZZZZZZZZZZ HELPPPPPPPPPP MEEEEEEEEEEEE IM BEING TIMED
Train B travels 140 miles which is 40% of the total distance it will travel. What is the total number of miles Train B will travel? Show your work or explain how you found your answer.

Enter your answer and your work or explanation in the box provided.

Answers

Answer:

56

Step-by-step explanation:

i dont have time either to how work

Answer: hi hello hola

Step-by-step explanation:

20 points!

24, and 25 has to be in simplest form.

JUST NEED HELP ON 24 AND 25!

Answers

Answer:

I think they would be 7 4/6 & 5 2/8

Step-by-step explanation:

srry if im late!

What will be the output of this program? EXTRA POINTS!!!
(No Absurd Answers PLZ)

number = 5
less_than_zero = number < 0

if less_than_zero:
print(number)

number = number-10
less_than_zero = number < 0

if less_than_zero:
print(number)


A. 5
5

B. -5

C. 5
-5

D. Nothing will print

Answers

Answer:

Translated below: Answer is B.

Step-by-step explanation:

1. Set number to 5.

2. Check if it is less than 0.

3. It is not. Nothing is printed.

4. Change number to -5.

5. Check if it is less than 0. It is.

6. Print the number.

The output will just be -5.

B.

PLS HELP!!! ANSWER ASAP PLS!!!!!


Which inequality is true?

0.439 > 0.493 0.563 > 0.536

0.673 < 0.573 0.781< 0.749

Answers

Answer:

0.563>0.536

Step-by-step explanation:

Its greater

last picture of my last question​

Answers

Answer:

Step-by-step explanation:

Done

I don’t understand sorry

a canon launches a cannon ball vertically with an initial speed 30.m/s find; the maximum height

Answers

Answer:

45.9183 as the maximum height ............

Step-by-step explanation:

max height=v²/2g

       =900/19.6

       =45.9183 ................

THIS IS VERY CONFUSING PLEASE HELP BRAINLIEST IF CORRECT 60 POINTS DONT ANSWER IF YOU DONT KNOW THE ANSWER OR REPORTED PLEASE DO NOT
which statement is correct?
A.29 > | -29 |
B.| -22 | 22
D. | -29 | < | 0 |

Answers

Answer:

see below

Step-by-step explanation:

A.29 > | -29 |

Absolute value means take the non negative value

A.29 >  29

This is not true

B.| -22 | 22

Absolute value means take the non negative value

22 You do not have an inequality so we cannot solve this

D. | -29 | < | 0 |

Absolute value means take the non negative value

29 < 0

This is not true

Since A and D are not true,  B must be true

y = 4x 2 is shifted 5 units to the right

Answers

Answer:4

Step-by-step explanation: y=mx+b is the slope intercept form of an equation. m is the slope and b is the y-intercept. just substitute 4 for m and 2 for b and get the original equation y = 4x + 2. since 4 is m, then 4 is the slope.

Answer:

y= 4(x-5) 2

Step-by-step explanation:

It seems counterintuitive, but to shift a parabola, you have to subtract five from x. To shift to the left, you would simply add five to x instead of subtract.

Miguel Cabrera had a batting average of 0.33 last season.Mike trout had a batting average of 0.326 during the same season. Who had the higher batting average

Answers

Answer:

Miguel cabrera

Step-by-step explanation:

Given that :

Miguel cabrera's batting average = 0.33

Mike trout's batting average = 0.326

The average for both players was obtained during the same season:

Hence. Comparing their respective averages,

0.33 = 0.330

0.330 > 0.326

Hence, Miguel Cabrera's batting average is higher than that of Mike trout

The tables represent the functions f(x) and g(x).

Which input value produces the same output value for the two functions?

x = –12
x = –9
x = –6
x = –3

Answers

Answer:

x = -6 has the same output for both functions

Step-by-step explanation:

Here, we want to get the x value that has the same y-value for both functions

We can simply get this by substituting

Let’s take it one after the other

if x = -12

f(x) = 2/3(-12) + 7

= -8 + 7 = -1

2(-12) + 15 = -9

This is incorrect

for x = -9

g(x) = 2/3(-9) + 7

= -6 + 7 = 1

f(x) = 2(-9) + 15 = -3

for x = -6

g(x) = 2/3(-6) + 7 = 3

f(x) = 2(-6) + 15 = 3

So as we can see our answer is x = -6

Enter the solution to the equation in the box.
2(x−3)=8(x−6)

Answers

Answer:

x=7

Step-by-step explanation:

2(x−3)=8(x−6)

2x-6=8x-48

2x-8x=-48+6

-6x=-42

x=7

11. The chance of a woman getting breast cancer in her lifetime is 1 out of 8. At this rate, how many
women in classroom of 32 women would be expected to come down with breast cancer in her lifetime?

Answers

Answer:4

Step-by-step explanation:8x4=32

Since it is 1 out of 8, 32/8=4

What is the value of the expression

s(8-2)/t

when s=0.5 and t= 2

A 0.5
B 1
C 1.5
D 2

Answers

Answer:

C. 1.5

Step-by-step explanation:

replace the values in the equation with the values given.

Answer:

I think it will be C. 1.5

Olivia is making model cars to go on shelves in her room. The number of wheels she uses is a function of how many cars she makes: if she makes 1 car, she uses 4 wheels; if she makes 2 cars, she uses 8 wheels; if she makes 3 cars, she uses 12 wheels; and so on. She has exactly 28 wheels she can use to make cars. What is the domain and range for the function?

Answers

Answer:

Domain = 1 to 7

Range = 4 to 28

Step-by-step explanation:

Given that:

Number of wheels used is a function of number of cars manufactured.

Number of wheels present = 28

1 car uses 4 wheels

2 cars use 8 wheels.

3 car uses 12 wheels

and so on.

Let the function be of the form:

[tex]y =f(x)[/tex]

Domain of the function is the value of [tex]x[/tex] that can be given as valid input to the function.

Range of the function is the value of [tex]y[/tex] that can be output of the function.

Let [tex]x[/tex] be the number of cars manufactured.

Then value of [tex]y[/tex] is nothing but [tex]x[/tex] times 4.

[tex]y=4x[/tex]

We are given that maximum value of [tex]y[/tex] can be 28.

[tex]28 = 4x\\\Rightarrow x =7[/tex]

Therefore, maximum value of input can be 7.

Minimum number of wheels can be 4 to make a minimum of 1 car.

Therefore domain is 4 to 28 and range is 1 to 7.

Solve the following system of equations.
- 7x-9y= 10
3x – 2y = 25

Answers

Answer: first one x= -9/7y+-10/7, second x=2/3y+25/3

1. Step-by-step explanation:

add 9y to both sides -7x-9y+9y=10+9y

divide both sides by -7. -7x/-7=9y+10/-7

2. Add 2y to both sides. 3x-2y+2y=25+2y

divide both sides by 3. 3x/3=2y=25/3

Using the laws of indices simplify 625^3/8 ×5^1/2÷ 25​

Answers

Answer:

1

Step-by-step explanation:

[tex] \huge {625}^{ \frac{3}{8} } \times {5}^{ \frac{1}{2} } \div 25 \\ \\ = \huge {( {5}^{4})}^{ \frac{3}{8} } \times {5}^{ \frac{1}{2} } \div {5}^{2} \\ \\ = \huge{5}^{ \cancel4 \times \frac{3}{ \cancel8 \: \: \red{ \bold 2}} } \times {5}^{ \frac{1}{2} } \div {5}^{2} \\ \\ \huge= {5}^{ \frac{3}{2} } \times {5}^{ \frac{1}{2} } \div {5}^{2} \\ \\ \huge= {5}^{ \frac{3}{2} + \frac{1}{2}} \div {5}^{2} \\ \\ \huge= {5}^{ \frac{4}{2} } \div {5}^{2} \\ \\ \huge= {5}^{ 2 } \div {5}^{2} \\ \\ \huge= {5}^{ 2 - 2 } \\ \\ \huge= {5}^{ 0 } \\ \\ \huge= 1[/tex]

Please hurryy
Find the slope of a line that goes through these two points: (4, -7) and (3,
-8)

Answers

Answer:

1

Step-by-step explanation:

answer correctly and i will give brainliest

Answers

Answer:

$25 per month

Step-by-step explanation:

What we know:

3 months of a gym membership costs $75.

6 months cost $150.

To find the unit rate, divided 75 by 3, or 150 by 6.

150/6 = 75/3 = 25/1 = $25 per month

Giving 40 points PLEASE help ASAP The ratio of the number of teachers to students in a school is 3:35. The ratio of male students to the number of female
students is 2:5. There are 500 female students. How many teachers are there?
In the box, type the answer and tell how you found it. You may also do your work on a separate sheet of paper and upload it
in the box below.

Answers

Answer: 500 female students. 2:5 ratio for males means 200 male students. 500 female plus 200 male equals 700 students total. There are three teachers for every 35 students, so 700/35 multiplied by three equals 60 teachers.

Write this percentage as a fraction in its simplest form.
24%

Answers

Answer:

6/25

Step-by-step explanation:

24/100=12/50=6/25

Answer:

[tex]\huge\boxed{\sf \frac{6}{25} }[/tex]

Step-by-step explanation:

[tex]\sf = 24 \%\\\\\% \ means \ out \ of \ 100\\\\= \frac{24}{100}\\\\= \frac{12}{50} \\\\= \frac{6}{25} \\\\\rule[225]{225}{2}[/tex]

Hope this helped!

~AnonymousHelper1807

Explain how solving -7y > 161 is different from solving 7y > -161.

Answers

Answer: its different because when you add a negative sign to an answer it is valued less then a answer without the negative sign

Answer:

You use the division property of inequality to isolate the variable for both inequalities. You need to reverse the direction of the inequality symbol when dividing both sides by a negative number.

Step-by-step explanation:

edge

Graph the equation y=2x+1

Answers

Answer:

hope it helps

Step-by-step explanation:

Helppp!!!!me mark u brainly

Answers

Answer:

D. Jacob rode a 45-kilometer race in 3 hours.

Step-by-step explanation:

1h = 15km

A. : 30m = [tex]\frac{30}{60}[/tex] × 15km

              = 7.5km (not 2km)

B. : 15m = [tex]\frac{15}{60}[/tex] × 15km

             = 3.75km (not 4km)

C. : 5h = 5 × 15km

             = 75km (not 20km)

D. : 3h = 3 × 15km

             = 45km (Yep, 45km)

Identify the like terms that can be combined in the following equation: 2 + 86-10 = 15​

Answers

Answer:

THANKS FOR FREE POINTS DIS WHAT U GET FOR NOT ANSWER ME VYUdgwhsvnDHgvahenihfdz yhulsermiv8 huykdbearut5k  b54rhf

Step-by-step explanation:

vnehfbyidgehf8j8fvhy7ui6utfadgsjbhnejmfrggehf8j8fvhy7ui6utfadgsjbhnejmfrggehf8j8fvhy7ui6utfadgsjbhnejmfrggehf8j8fvhy7ui6utfadgsjbhnejmfrggehf8j8fvhy7ui6utfadgsjbhnejmfrggehf8j8fvhy7ui6utfadgsjbhnejmfrggehf8j8fvhy7ui6utfadgsjbhnejmfrggehf8j8fvhy7ui6utfadgsjbhnejmfrggehf8j8fvhy7ui6utfadgsjbhnejmfrggehf8j8fvhy7ui6utfadgsjbhnejmfrggehf8j8fvhy7ui6utfadgsjbhnejmfrggehf8j8fvhy7ui6utfadgsjbhnejmfrggehf8j8fvhy7ui6utfadgsjbhnejmfrggehf8j8fvhy7ui6utfadgsjbhnejmfrggehf8j8fvhy7ui6utfadgsjbhnejmfrggehf8j8fvhy7ui6utfadgsjbhnejmfrg

PLEASE HELP! I WILL GIVE BRAINLIEST!
According to the formula pi r squared, for a circle with a radius of one unit the area equals pi.
For a circle with a radius of two units the area equals four pi. Ans = 16 pi units squared
For a circle with a radius of three units the area is nine pi.
A = 25 pi units squared, 36 pi units squared, 49 pi units squared... to 100 pi units squared.

So try this... given the formula for circumference of a circle C = pi * d or C = 2 p* r

What are the circumferences for these circles....
r = 1 unit
r = 2 units
r = 3 units
Now finish the pattern to r = 10 units...

Answers

Answer:

2pi, 4pi, 6pi, 8pi, 10pi, 12pi, 14pi, 16pi, 18pi, 20pi

Step-by-step explanation:

Formula used=2p*r

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