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

Becca hikes 9/10 mile in 5/3 hour.

Answers

Answer:

(9/10 mile)/(5/3 hour) = 27/50 miles/hour

Step-by-step explanation:

If you are looking for the speed, then speed = distance/time

speed = (9/10 mile)/(5/3 hour)

speed = 9/10 ÷ 5/3 miles/hour

speed = 9/10 × 3/5 miles/hour

speed = 27/50 miles/hour

Answer:

1. 9/10/3/5

2. 3/2

Step-by-step explanation:

Got it correct on iReady.

(2, 7); m = -3
(Write an equation in point-slope form of the line that passes through the given point and has the given slope)

Answers

Answer:

Step-by-step explanation:

y - 7 = -3(x - 2)

y - 7 = -3x + 6

y = -3x + 13

M<1=m<5 true or false

Answers

Answer:

True

Step-by-step explanation:

Since m<1 and m<7 is equal to m<3 and m<5, therefore m<1 is also equal to m<5

5. Simplify:
2x^2(-3x^2)^3

Answers

Answer:

[tex]-54x^8[/tex]

Step-by-step explanation:

[tex]2x^2(-27)x^6\\\\-54x^2x^6\\\\-54x^{2+6}\\\\-54x^8[/tex]

Brooklyn has two summer jobs. During the week she works in the grocery store, and on the weekend she works at a nursery. She gets paid $20 per hour to work at the grocery store and $21 per hour to work at the nursery. How many total hours does she work if she does 5 hours at the grocery store and 11 hours at the nursery? How many total hours does she work if she does gg hours at the grocery store and nn hours at the nursery?

Answers

Answer:

~$331 - *16 hours

Step-by-step explanation:

~ $20x5=$100

~ $21x11=$231

~ $231+$100=$331

* 5+11=16

There are 16 girls and 14 boys in Mr. Chay's class. This ratio holds true for the entire school. If there are 1500 students, how many girls attend the school?

Answers

Answer:

Step-by-step explanation:

16/(16 + 14) = XX/1500

1500(16) = 30XX

XX = 800 girls

answer:TThe ratio of boys to girls is 12 to 16, 12:16 or 12/16 (all different ways this can be written). The fraction form 12/16 can be reduced by dividing

Joey spends 2/5 his $3,500 monthly salary on rent How much does he spend on rent ?

Answers

To solve this 2/5 of $3,500 which is 0.4 x $3,500 = $1,400.

Hope this helps!

Answer:

1.400$

Step-by-step explanation:

Jay has written 24 songs to date. He writes an average
of 6 songs per vear. Jenna started writing songs this
year and expects to write about 12 songs per year.
How many years from now will Jenna have written
as many songs as Jay Write and graph a system of
equations to find your answer.

Answers

Step-by-step explanation:

I'm sorry could you maybe send more information so I could help you

Find the equation of the line

Answers

This should do… all steps explained in the picture

Math expert please simplify this I am confuse thanks you

Answers

Answer:

11

Step-by-step explanation:

39 - 6 / 3

= (39 - 6) / 3

= 33 / 3

= 11

Answer:

a-2

Step-by-step explanation:

(3a-6)/3 You can factor the numerator to 3(a-2) so you have

[tex]\frac{3(a-2)}{3}[/tex]

simply divide by the 3->

a-2

Is 3 the coefficient of s/3?

Answers

I think that yes it is I THINK but yeah mostly I think it’s yes

The coefficient of s/3 is 1/3.

s/3 = (1/3)s

No, 3 is not the coefficient of s/3.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

s/3

This can be written as (1/3)s.

The coefficients of an equation are the non-zero values along with the variables.

Example:

ax² + bx + 3

The coefficients of this equation are a, and b.

The coefficient for the expression s/3  is 1/3.

Thus,

The coefficient of s/3 is 1/3.

s/3 = (1/3)s

No, 3 is not the coefficient of s/3.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2


STRUCTURE Tell whether the triangles are similar.

Answers

Answer:

If two triangles have two pairs of sides in the same ratio and the included angles are also equal, then the triangles are similar.

Have a nice day and I hope this helps!

2x+3-3 when x=-6



solve

Answers

Answer:

x=9

Step-by-step explanation:

Solve the equation for y. 5x+2Y=9

Answers

Answer:

y = 9/2 - 5/2(x)

Step-by-step explanation:

I think this is right

please help me :(!!!!

Answers

Answer: (3,9)

Step-by-step explanation:

They're asking which ordered pair [tex](x,y)[/tex] satisfies both equations when you plug in [tex]x[/tex] and [tex]y[/tex]. Well since you're plugging in the same [tex]y[/tex] to both equations, [tex]3x[/tex] should equal [tex]2x + 3[/tex] (think about it). And solving [tex]3x = 2x + 3[/tex] gives [tex]x = 3[/tex], so the answer is

[tex](x,y) = \boxed{(3, 9)}[/tex]

A plane is pointed S 15° E, with indicated speed 500 mph. It flies through a wind
blowing N 20° E at 55 mph. Find the resultant speed and direction of the plane.

Answers

Answer:

N 2.4 ∘ W  or Bearing  357.6 ∘

672.2x  km/hr

Step-by-step explanation:

Have a good day and remember to smile!

Answers

AWW you to have a good day!

Simplify the expression. w+w+5w

Answers

Answer:

w+w+5w = 7w

Step-by-step explanation:

Answer:

7w

Step-by-step explanation:

8.
Identify the point corresponding to Q.



A. Q′ (−4, 1)

B. Q′ (−1, −4)

C. Q′ (−3, −4)

D. Q′ (−4, −3)

Answers

Answer:

C. Q′ (−3, −4)  

D. Q′ (−4, −3)

Step-by-step explanation:

From looking at the graph it looks like the answer would be

Q= (3, -4) if the X-axis goes first

Q= (-4, 3) if the Y-axis goes first

Solve them ALL... BWAHAHAHAHAHAHAHAHAHAHAHAHAHAHA. Anyway Good LUCK

Answers

the first one is (B) i think

the second one is (B)

the third one is (B)

the fourth one is (A)

the fifth one is (A)

From his eye, which stands 1.62 meters above the ground, Amadou measures the
angle of elevation to the top of a prominent skyscraper to be 44°. If he is standing at a
horizontal distance of 164 meters from the base of the skyscraper, what is the height
of the skyscraper? Round your answer to the nearest tenth of a meter if necessary.

Answers

The height  of the skyscraper rounded to the nearest tenth of a meter is

160.0 meters.

The situation will form a right angle triangle.

The angle of elevation is 44 degrees. The horizontal distance of 164

meters from the base of the skyscraper is the adjacent side of the triangle.

Part of the height of the skyscraper is the opposite side of the triangle formed .

Using trigonometric ratio,

tan 44° = opposite / adjacent

tan 44° = h / 164

cross multiply

h = 164 × tan 44°

h = 158.372959068

Recall the angle of elevation was form from his eyes above the ground of

1.62 meters.

Therefore, the height of the skyscraper can be calculated below:

height of the skyscraper = 158.372959068 + 1.62 = 159.992959068

height of the skyscraper ≈ 160.0 meters

learn more: https://brainly.com/question/23910946?referrer=searchResults

Solve for C:
Spam: deiodhwidweiudjegydjwe

Answers

Answer:

[tex]C=\frac{5F-160}{9}[/tex]

Step-by-step explanation:

Let's solve for C.

[tex]F=\frac{9C}{5}[/tex]

Step 1: Flip the equation.

[tex]\frac{9}{5} C+32=F[/tex]

Step 2: Add [tex]-32[/tex] to both sides.

[tex]\frac{9}{5} C+32+-32=F+-32[/tex]

[tex]\frac{9}{5}C=F-32[/tex]

Step 3: Divide both sides by [tex]\frac{9}{5}[/tex].

[tex]\frac{\frac{9}{5}C}{\frac {9} {5}}=\frac{F-32}{\frac{9}{5} }[/tex]

[tex]C=\frac{5F-160}{9}[/tex]

Answer:

[tex]C=\frac{F-160}{9}[/tex]

Eight less than the product of eleven and a number is negative nineteen. Find the number

Please help and show the answer thank uou

Answers

Answer:

-217 is the answer.

Step-by-step explanation:

negative nineteen is -19

eleven = 11

and from their product we have to subtract 8.

so,

-19×11

= -209

-209-8

= -217.

hope it helps you

plzz plzz plzz mark as brainliest

Answer:

the number is -1

Step-by-step explanation:

Let the number be x. PROOF

11x-8=-19. (11×-1)-8=-19

11x=-19+8

11x=-11

11x/11=11/11

x=1

Help me answer 1c, thank you!

Answers

Answer:

bilmiyom bu kadar cevap

What is the area of a rectangle with a length of 88 inches and width of 56 inches

Answers

Answer: 4928

Step-by-step explanation:

Area= LxW

88 x 56= 4928

Kenny has 8 red shirts, 12 blue shirts, and 10 white shirts in his closet. What is the probability that he would get a white shirt out of the closet?

Answers

Answer:

1/3 or 33.33 %

Step-by-step explanation:

this is because there is 30 shirts and all and 10 white. 10/30 is 1/3, or 33.33%

Answer:

likely

If there are 8 red shirts, 12 blue shirts, and 10 white shirts. The answer would be likely

rewrite 12/12 as a whole number

Answers

9514 1404 393

Answer:

  1

Step-by-step explanation:

Any (non-zero) number divided by itself is 1.

_____

This is a fact that has many uses in problem solving and units conversion.

30 POINTS WILL MARK BRANLIEST FOR FIRST REPLY

find x using the pictures below

Answers

The left pic :

[tex]x = 46 \times \cos(70°) [/tex]

[tex]x = 46 \times 0.342[/tex]

[tex]x = 15.732[/tex]

_____________________________________________

The right pic :

[tex] \tan(18°) = \frac{15}{x} \\ [/tex]

[tex]0.325 = \frac{15}{x} \\ [/tex]

Thus :

[tex]x = \frac{15}{0.325} \\ [/tex]

[tex]x = 46.1538[/tex]

There u go ...

Have a great day ❤

Which expressions have a value that is greater than 1?

Answers

Answer:

Im not sure about A but other then that B and D have greater values then one

Step-by-step explanation:

[tex]~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \boxed{A}\qquad \cfrac{3^{-2}}{3^3}\implies \cfrac{~~\frac{1}{3^2} ~~}{3^3}\implies \cfrac{~~\frac{1}{3^2} ~~}{\cfrac{3^3}{1}}\implies \cfrac{1}{3^3\cdot 3^2}\implies \cfrac{1}{3^5}\implies \cfrac{1}{243}\qquad \textit{\large \checkmark}[/tex]

[tex]\boxed{B}\qquad \cfrac{5^3}{5^2}\implies 5^3\cdot 5^{-2}\implies 5^{3-2}\implies 5^1\implies 5\qquad \bigotimes \\\\\\ \boxed{C}\qquad 9^0\implies 1\qquad \bigotimes \\\\\\ \boxed{D}\qquad \cfrac{(2^3)^2}{2^2}\implies \cfrac{2^{3\cdot 2}}{2^2}\implies \cfrac{2^6}{2^2}\implies 2^6\cdot 2^{-2}\implies 2^4\implies 16\qquad \textit{\large \checkmark} \\\\\\ \boxed{E}\qquad \cfrac{2^3}{2^8}\implies 2^3\cdot 2^{-8}\implies 2^{3-8}\implies 2^{-5}\implies \cfrac{1}{2^5}\implies \cfrac{1}{32}\qquad \bigotimes[/tex]

1. A bag contains red apples and yellow apples. The ratio of red apples to yellow apples in the bag is 9 to 4. How many apples are yellow.

Answers

Answer:

?

Step-by-step explanation:

You can’t know that, because you don’t know how many total apples there are.

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