Find the number of integers between 1 and 1000 that are divisible by 12 or 15, but not by both 12 and 15.

Answers

Answer 1

Count the multiples of 12:

⌊1000/12⌋ = 83

(where ⌊x⌋ denotes the "floor" of x, or the largest integer that is less than or equal to x)

These are the integers

{12, 24, 36, 48, …, 996}

Count the multiples of 15:

⌊1000/15⌋ = 66

These are

{15, 30, 45, 60, …, 990}

Count the multiples of both 12 and 15; these are multiples of LCM(12, 15) = 60:

⌊1000/60⌋ = 16

These are

{60, 120, 180, 240, …, 960}

Now use the inclusion/exclusion principle to count the multiples of either 12 or 15, but not both:

83 + 66 - 2•16 = 117

Among the multiples of 12 and the multiples of 15, we count the numbers that are multiples of both 12 and 15. By subtracting the number of multiples of both (16), we get the count of integers that are either divisible by 12 or 15. We subract 16 again to remove those that are divisible by both 12 and 15.


Related Questions

What is the equation of the line shown in this graph?

Answers

Answer:

y = 1

Step-by-step explanation:

Y=1/2x-5
What is the slope?

Answers

Answer: 1/2

Step-by-step explanation:

Slope is the number in front of x

Answer:

The slope of the line or m is represented by 1/2. x and y are coordinates on the line and -5 represents the y-intercept. The used for this equation is y = mx + b. M = slope and b is the y-intercept

Step-by-step explanation:

Hope I made sense to you.

An elliptically shaped garden is surrounded by a wood walkway. The garden is 15 meters long and 8 meters wide. The walkway is 2.5 meters wide. Find the standard equation describing the ellipse formed by the walkway.

Answers

Answer:

x^2/b^2 + y^2/a^a = 1

Step-by-step explanation:

I believe that is the answer, also theanswerme answered this question. :)

URGENT, WILL GIVE BIG BRAIN OR WHATEVER ITS CALLED LOL
For every 1000 hits a YouTub channel gets it makes £2 from ad revenue. a How many hits are required to make £21?​

Answers

Answer: 10,500 hits

Step-by-step explanation:

I WANT BIG BRAIN! I WANT BIG BRAIN AHAHHHHHHH!!!!!!!

ok there are a number of ways to go about this

it is unclear whether or not the YT content creator will get one pound for 500 hits

i honestly dont know but i am going to assume it will

1000 times 20 (we are plugging in a test variable, 20, here)

so lets say we have 20,000 hits

lets divide that by 1000 and we get 20. 20 times 2 is 40 pounds so obviously thats too much

lets try 1000 times 10

so we have 10 times 2 and thats 20 pounds. we are closer

10,500 hits

(i put in 500 because half of 1000 is 500 and that will give you one pound instead of two)

Use a table to find the solution to the situation.
Larry's small business has $30,000 in its bank account and makes automatic monthly payments that total
$10,000. If he stops making deposits to that account, when would the automatic payments make the
value of the account zero?
The value of the account would be zero in months.

Answers

Answer:

Step-by-step explanation:

30,000 /10,000= 3 months

The area of a rectangle is 4y+10.A.Represent the area of the rectangle in factored form.B.Use the factored form to give one possible set of dimensions for this rectangle

Answers

Answer:

2 ( 2y + 5 )

Step-by-step explanation:

→ Take out 2 as a factor

2 ( 2y + 5 )

Answer:

A = 2(2y + 5)2 and 11 (when y = 3)

Step-by-step explanation:

The area equation is:

A = lw

Given:

A = 4y + 10

This can be factored as:

A = 2(2y + 5)

Let y = 3, then the dimensions are:

2 and 2*3 + 5 = 11

The 95% confidence interval is from __ to __?

Answers

Answer:

The 95% confidence interval is from 0.5 to 0.027?

Step-by-step explanation: hope that helps :)

Answer:

The 95% confidence interval is from 00.19 to 0.6?

Does this graph represent a function? Why or why not?
Ay
10
8
8+
2+
1
-10-8-64
2
+ c
240
-
ON
10
4
-8-
-8-
-10
O A. No, because it fails the vertical line test.
O B. Yes, because it passes the vertical line test.
O C. No, because it is not a straight line.
O D. Yes, because it passes the horizontal line test.

Answers

The answer would e number B.

ANSWER THIS PLEASE I NEED HELP

Answers

Answer:

1st part:

0.65= 13/2

0.425=4251000

9.35=9 7/20

2nd part:

19/25= 0.76

311/500=0.622

5/8=0.625

14 3/5=14.6.

Step-by-step explanation:

hope this helped good luck!<3

For which equations is 8 a solution? Select the four correct answers.
x + 6 = 2
x + 2 = 10
x minus 4 = 4
x minus 2 = 10
2 x = 4
3 x = 24
StartFraction x Over 2 EndFraction = 16
StartFraction x Over 8 EndFraction = 1

Answers

Answer:

x+2=10

x minus 4 = 4

x minus 2 = 10

3x = 4 are the answers .

Answer:

what he said ex for x-2=10 thats naught rite the correct are:

X+2=10

X-4=4

3x=24

X/8=1

Step-by-step explanation:

did it on the test!!!

help plz I have an f in the class

Answers

rise over run: the answer is 2

To mail a letter to Vienna, Austria the post office charges a flat rate of $8.00 and an additional $0.50 for every ounce the letter weighs. The cost of mailing a letter is determined by the equation y=0.50x+8.00, where y is the cost of the postage and x is the weight of the letter in ounces.

Step 2 of 2 : Use the graph to estimate to the nearest quarter of a dollar ($0.25) the cost to send a letter that weighs 3 ounces.

Answers

Answer:

It will cost 38 quarters

Step-by-step explanation:

y = 0.50x + 8.00

y = 0.5(3) + 8.00

y = 1.5 + 8.00

y = $9.50

$9.50/.25

38 quarters

Hope this is the answer you are looking for.

Janine is 25 and has a good job at a biotechnology company. Janine estimates that she will need $875,000 in her total retirement nest egg by the time she is 65 in order to have retirement income of $20,000 a year. (She expects that Social Security will pay her an additional $15,000 a year.) She currently has $5,000 in an IRA, an important part of her retirement nest egg. She believes her IRA will grow at an annual rate of 8 percent, and she plans to leave it untouched until she retires at age 65. How much money will Janine have to accumulate in her company’s 401(k) plan over the next 40 years in order to reach her retirement income goal? Use Exhibit 1-A.

Answers

We have that for the Question, it can be said that

The amount of money Janine will have to accumulate in her company’s 401(k) plan over the next 40 years is

$ 766377.4

From the question we are told

Janine is 25 and has a good job at a biotechnology company.

Janine estimates that she will need $875,000 in her total retirement nest egg by the time she is 65 in order to have retirement income of $20,000 a year. (She expects that Social Security will pay her an additional $15,000 a year.) She currently has $5,000 in an IRA, an important part of her retirement nest egg. She believes her IRA will grow at an annual rate of 8 percent, and she plans to leave it untouched until she retires at age 65. How much money will Janine have to accumulate in her company’s 401(k) plan over the next 40 years in order to reach her retirement income goal? Use Exhibit 1-A.

IRA Sum = $ 5000 Growth ratio of IRA= 8%Growth period = 40 years

Generally the equation for the IRA Amount  at Retirement  is mathematically given as

IAR= 5000 * 1.08^(40)

=  108622.6

Since estimate is at

$875,000  

Therefore

Accumulation in 401,000 = 875000 - 108622.6

Accumulation in 401,000 = 766377.4

Hence

The amount of money  Janine will have to accumulate in her company’s 401(k) plan over the next 40 years is

$ 766377.4

For more information on this visit

https://brainly.com/question/19007362

What is the solution to (4 x 103) x (6 x 106), written in scientific notation?

Answers

Answer:

                       

Step-by-step explanation:

Answer is 2.4 x 10^10

Write recursive and explicit formula for the arithmetic sequence 10, 40, 70,100,130

Answers

in the sequence we can see that we arrive at the next term by simply adding 30 to the current one, thus

[tex]\stackrel{\textit{Explicit, only requiring argument susbtitution}}{f(n)~~ = ~~n + 30}~\hfill \stackrel{\textit{Recursive, requiring ordinal position}}{f(a)~~ = ~~ a_{n-1}+30}[/tex]

find the gradient of a line perpendicular to y=-3/4+6

Answers

Answer:

  4/3

Step-by-step explanation:

Assuming your line is intended to be ...

  y = -3/4x +6

The slope is the coefficient of x: -3/4.

The slope of a line perpendicular to it is the opposite of the reciprocal of this, so is ...

  -1/(-3/4) = 4/3

The gradient of the perpendicular line is 4/3.

Show your work and write an expression using the following criteria:
1. A dividend greater than 1,000
2. The quotient is 58 with a remainder of 22

Answers

Answer:

this is correct

Step-by-step explanation:

A dividend is a number we want to divide by another number. It's supposed to be greater than 1000.

Quotient - the integer result of division. Remainder - well, what remains.

9/4 = 2, with remainder 1.

You want to find a number greater than 1000, which, when divided by another number, results in 37, with a remainder of 4.

I would multiply 37 by an increasing number until we get a product greater than 1000. This number is the one you are dividing by. Now add 4 to the product, so that when the sum is divided by the number you found we'll get a remainder of 4.

what is 2x-4y=12 x-3y=10

Answers

Answer:

(x,y) = (5/21, -50/21)

Step-by-step explanation:

13. A linear cost function is C(x)= 28.37x +5,580, where x represents the number of units produced. What is the cost
of producing one more item if 75 are currently being produced? Round your answer to the nearest cent.
a. $7,736.12
b. $28.37
c. $5,580.00
d. $5,608.37
e. $75.00

Answers

9514 1404 393

Answer:

  b. $28.37

Step-by-step explanation:

In the cost function, x is the number of units. The derivative of the cost function with respect to x will tell the incremental cost of producing one more unit. That derivative is a constant, $28.37 per unit, so the cost of producing one more unit is $28.37 at any production level.

what is the amount if local tax withheld on this W-2

A) $2294
B) $2340
C) $256
D) 4599

Answers

Step-by-step explanation:

the local tax is B) $2340 thats what i got

1. What is the slope of this graph?
2. What is the y-intercept for the graph?

Answers

Answer:

ndjsjz

Step-by-step explanation:

ujz d d f f f g f tt r r r r r r r r r r0

8nnnnjjj

Your cell phone bill in August was $61.43, which was $21.75 more than your bill in July. Your cell phone bill in July was $13.62 less than
in June. What was your cell phone bill in June?

Answers

Answer:

$53.30

Step-by-step explanation:

61.43-21.75=39.68 is the cell phone bill in July.

39.68+13.62= 53.30 is the phone bill in June.

Answer:

53.30

Step-by-step explanation:

August= 61.43

July= (61.43-21.75) or 39.68

June= (39.68+13.62) or 53.30

Hope this helps! :)

HELPPP PLS

A store sells a 1 1/4
pound package of turkey for9$ .

​What is the unit price of the turkey in the package?
A
$11.25\$ 11.25$11.25 per pound
B
$10.25\$ 10.25$10.25 per pound
C
$7.75\$ 7.75$7.75 per pound
D
$7.20\$ 7.20$7.20 per pound

Answers

Answer:

D. $7.20

Step-by-step explanation:

9/1.25 = $7.20

Mary burns 35 calories when she rides her bicycle to the park. After riding, she
burns 9.5 calories per minute while running.
Write a linear equation for the total amount of calories, C, that Mary will burn if
she cycles to the park and runs m minutes.

Answers

Answer/Step-by-step explanation:

C = 35 + 9.5m --> This means that she burns an initial 35 calories plus 9.5 calories for every minute she runs. This will tell us the total amount of calories she burns for a given amount of time.

Answer:

C = 35 + 9.5m

Step-by-step explanation:

This means that she burns an initial 35 calories plus 9.5 calories for every minute she runs. This will tell us the total amount of calories she burns for a given amount of time.

Please help please please help me help please

Answers

Answer:

y = 9/10x - 7/5

Step-by-step explanation:

Slope = 9/10

Point (6,4)

y-intercept = 4 - (9/10)(6) = 4 - 54/10

= - 7/5

There are two mystery numbers. The sum of 7 times the first number and 8 times the second number is 22. The sum of 5 times the first number and 8 times the second number is 18. What are the two numbers?

Answers

Based on the information given, the value of the two numbers will be 2 and 1 respectively.

Let the first number be aLet the second number be b

The equation to solve the question will be:

7a + 8b = 22 .... i

5a + 8b = 18 ..... ii

Subtract equation ii from I

2a= 4

a = 4/2

a = 2

Therefore, 7a + 8b = 22

7(2) + 8b = 22

14 + 8b = 22

8b = 22 - 14.

8b = 8

b = 8/8 = 1

Therefore, the numbers are 2 and 1.

Read related link on:

https://brainly.com/question/25701830

if there is a 1 4 chance that it will rain for your fourth of july brbeque what is the probability it wont rain

Answers

Answer:

86% chance

Step-by-step explanation:

there is an 86% chance it won't rain because 100%-14%=86%

Find the sum of 8080,8928 and 7005

Answers

Answer:

80,815,933

Step-by-step explanation:

emily ran 3 3/4 miles in 5 hours what unit rate for miles per hour did she run

Answers

Answer: The answer is 3

Step-by-step explanation:

:]

tiana car traveled 111 miles on 3/8 1/2 hot dogs in 3 3/4 minutes. how many dogs did he eat in one minute

Answers

Use a proportion:

111/( 3/8) = x/ 1

Cross Multiply

(3/8)x = 111

Multiply both sides by 8/3 ; reciprocal

x = (8/3) (111)

x = 296 miles
Other Questions
Which of the following is an advantage of renting? a. Ease of mobility b. Economic gain c. Financial risk d. Tax savings Please select the best answer from the choices provided A B C D. Select the correct answer.What does a speech-language pathologist do?A-helps students learn a foreign languageB-teaches students public speaking skillsC-coaches students to improve their communication skillsD-helps students with speech disabilities Mr smiths Pizza parlor Escribir el verbo en el futuro.1. Aunque est lloviendo, ellos (seguir)2. Cuntos aos (tener) ese to?3. Nosotros nunca (olvidarse)4. Los nios no deben ir solos porque (perderse)5. Cunto (valer) ese reloj de oro?6. A qu hora (salir) vosotros?7. l (satisfacer) los requisitosjugando en la lluvia.de estoen la ciudadque s.pasar la noche all.L0. Cuntas personas (haber) en la reunin? Write a letter to your friend In another school telling him reason why he should stop her school and come to your schoolwhen do they do as I say write a letter to your friend telling him or her three reasons why he should stop at school and come to your write a letter to your friend telling him or her three reasons why he should stop at school and come to your school WHAT DO YOU KNOW?Why would you want to change your TableProperties? How are elements in the same family in the periodic table alike? is 5/8 greater than 61%? thanks i have late stuff that i need done What do we need to plan if we want to start-up a business? A huge group of single stars, star systems, star clusters, dust, and gas bound together by gravity is called ________________.A.Solar SystemB.GalaxyC.Star cluster Why is Dr. King more concerned with the attitudes of " white moderates"than he is with those of outright enemies of integration? Explain how many pumpkin pies are consumed on thanksgiving If the three parties cannot reach . now, there will be a civil war. hamburger is her .............food(favour) Choose the best answer. Which of the following would you most often do at night? maquillarse arreglarse ponerse la ropa acostarse. An object moving at a constant velocity of 5.4 m/s travels for 12 s. How far will it move during that time?Free-fall Acceleration is -10 m/s^2 Now replace the neutral word to give the statement a negative connotation. Jonathan tended to be very careful when it came to money. The part of the shore that represents the water's edge and migrates back and forth with the tide is known as the ________. Uhm is this a function? Factor the following polynomial completely. x2n y2n