¿Cuántos enteros divisibles por 4 y por 9 hay entre 95 y 450?

Answers

Answer 1

Answer:

Hay 10 enteros divisibles por 4 y por 9 entre 95 y 450.

Step-by-step explanation:

Podemos reescribir esta pregunta como sigue: ¿Cuántos números entre 95 y 450 son divisibles por 36? Entonces, existe un conjunto de números enteros [tex]A[/tex] tal que cada elemento satisface la condición que:

[tex]A = \{x= \frac{n}{36}\,\land \,95\le n \le 450, n, x\in \mathbb{Z}\}[/tex] (1)

Sabemos que el entero más pequeño divisible por 36 es:

[tex]x_{min} = \frac{108}{36}[/tex]

[tex]x_{min} = 3[/tex]

Mientras que el entero más grande divisible por 36 es:

[tex]x_{max} = \frac{432}{36}[/tex]

[tex]x_{max} = 12[/tex]

La cantidad de enteros divisibles se obtiene a través de la siguiente expresión algebraica:

[tex]a = 1+(x_{max}-x_{min})[/tex] (2)

[tex]a = 1+(12-3)[/tex]

[tex]a = 10[/tex]

Hay 10 enteros divisibles por 4 y por 9 entre 95 y 450.


Related Questions

John is twice as old as Mary. The sum of their ages is 21. How old is Mary?
Let J = John's age and M = Mary's age. Select the system equations that represents the problem.
J - 2M = 0
J = M + 2
M - 2J = 0
J + M = 21

Answers

Answer:

Mary is 7

Step-by-step explanation:

If their ages combined equals 21 and john is twice Mary’s age then johns age takes up 2/3 of 21. that would b 14. 14 is 2 x 7. and Mary is 7. 14+7=21. Mary is 7 years old

Correct answers are:

J + M = 21

J - 2M = 0

Is there a constant rate of change? If yes, what is the rate?


Plz help I’m lost

Answers

What’s the question lol

Do Now:
Mona tried to
solve the
system by
graphing:
x + y = 6
2x - y = 6
What was
Mona's
mistake?
Based on her
graph (shown)
Mona thinks
the solution is
(0,6).

Answers

Answer:

Mona's Mistake: Well, Mona tried to graph something not yet solved.

She should have solved the problems.

x+y=6 Solved is  y=-x+6

              and

2x-y=6 Solved is  y=2x-6

I have also graphed these two points for you, and they intersect at (4,2)

Have a beautiful day, and stay safe.

Pls I need help with this

Answers

Answer: Yes

The answer is:

Yes, both of this is equivalent.

Step-by-step explanation:

For the reason and solution, here:

1) 4x+6/2+3=

Factor: 2(x+3)Simplify: 2x+6

2) 4x+9=

This cannot be factored or simplified.

For me, these two is equivalent because "4x+9" equivalent is 2x+6 and this is the same if you simplified 4x+6/2+3 so for me, the answer is yes.

Hope this helps and if you could mark this as brainliest. Thanks!

The cost for each soda is $2.25. If your friend Calvin buys a certain number of Coca-Colas (c) and Mountain Dews (m), which answer choice shows an expression that represents the total cost of the Coca-Colas and Mountain Dews that Calvin bought?

Answers

Answer:

2.25(c+m)

Step-by-step explanation:

express 50 1/4 in simplest radical form

Answers

Answer:

Step-by-step explanation:

This is just an improper fraction when done.

numerator: 50*4 + 1 = 200 + 1 = 201

denominator: 4

Answer: 201/4

what is the answer to (x+3)^2 +(y-6)^2

Answers

Answer:

1the answer is 1! hope this helps.

The answer is x^2+ y^2-27

Suppose your community has 3580 people this year. The population is growing 2.5% each year. a. Write an exponential function to model the population. b. What will the population be in 3 years? c. Graph the function and give the domain and range.

Answers

Answer:

Step-by-step explanation

sadly i dont understand

LOOK AT THE PICTURE
Determine whether the graph represents a proportional relationship.

Yes, it is a proportional relationship because the graph goes through the origin
Yes, it is a proportional relationship because the graph is a straight line
No, it is not a proportional relationship because the graph is not a straight line
No, it is not a proportional relationship because the graph does not go through the origin

Answers

Answer:

No, it is not a proportional relationship because the graph does not go through the origin

Step-by-step explanation:

Has to be in the origin in order to be proportional

Answer:

the anser is C

Step-by-step explanation:

i took the test

help ill give you brainliest

Answers

16x^0=16(1)=16
2(2)^2=8
(4)^-1=1/4
8•1/4=2
16+2=18
The answer will be 18.
USE PEMDAS!

The area of a square is (9x2 − 12x + 4) square units. Determine the length of each side of the square by factoring the area expression completely

Answers

Step-by-step explanation:

9x2 − 12x + 4 = 18 - 12x + 4 = 22 - 12x = 2(11 - 6x)

length of 1 side = ± sqrt 2(11-6x) (rej neg value)

are these equal or not equal?
a. 18/36 _____ 1/2
b. 13/15 _____ 7/10
c. 3/5 _____ 5/9
d. 3/8 _____ 10/16

Answers

Answer:

a. is equal.

Step-by-step explanation:

18+18 is 36 and 1+1 is 2. the other questions are not equal.

Hope this helps!

Answer

18/36 = 1/2

13/5 > 7/10

3/5 > 5/9

3/8 < 10/16

I’ll mark brainliest please help!

Answers

Answer:

4x + 2 = 30

Step-by-step explanation:

To find the perimeter of a triangle, add up the length of all three sides of the triangle.

Here, the sides of the triangle are "x+6", "x+6", and "2x-10". When you add up all three sides of the triangle, it should be equal to the perimeter, 30. So:

(x+6) + (x+6) + (2x-10) = 30

We can simplify this equation:

(2 * (x+6)) + (2x-10) = 30

2x + 12 + 2x - 10 = 30

4x + 2 = 30

Answer D: 4x + 2 = 30

Z is..? The problem is attached as a png!

Answers

Answer:

Step-by-step explanation:

What i would do is multiply both sides by 2z + 1

so you get z-6=20z+10

-19z=16

z=-16/19

Answer:

z is every integer and the study of z and its properties is a general understanding save the satisfying of your rate of change

A landscaper installs 12 sections of the trellis. Each section of the trellis is 0.75 yards long. How many yards of the trellis are installed altogether?

Answers

Answer:

9

Step-by-step explanation:

you would do .75*12 because there are 12 stories and each one is .75 yards long, so to get all together, you do 0.75*12

Sorry im in a hurry

what is this?? i’ve been stuck on this for so long.

Answers

Answer:

i say ACD

Step-by-step explanation:

quadrilaterals are shapes with 4 sides.

parallelograms are shapes that have parallel sides.

Answer:

the answer is rhombus and rectangles

Step-by-step explanation:

A local business charges $20 to set up their sweatshirt printing machine with the design and $9.75 in materials per sweatshirt to print.
Write an equation for the average cost A(x) of printing x sweatshirts through this company. A(x)=?
Describe what happens to the average cost per sweatshirts as more and more are printed.
i need help

Answers

Given :

A local business charges $20 to set up their sweatshirt printing machine with the design and $9.75 in materials per sweatshirt to print.

To Find :

Write an equation for the average cost A(x) of printing x sweatshirts through this company.

Solution :

Let, number of sweatshirts sold are x.

So, average cost A(x) of printing is given by :

A(x) = 9.75x + 20

Therefore, average cost per sweatshirts are A(x) = 9.75x + 20 .

Hence, this is the required solution.

Find the value of x.

Answers

Answer:

x = 29

Step-by-step explanation:

The two labeled angles are same-side interior angles of parallel lines cut by a transversal. They are supplementary, so their measures have a sum of 180 deg.

2x - 10 + 4x + 16 = 180

6x + 6 = 180

6x = 174

x = 29

A flagpole 12 meters tall casts a 24-meter shadow. Nearby, luke stands and is 4 meters tall. Determine the length of luka's shadow. Include all labels.

Answers

Answer:

8 meters

Step-by-step explanation:

This is a question that deals with Proportion

Height of flagpole/Shadow of flagpole = Height of Luke/Shadow of Luke

Length of the shadow of Luke = x

= 12/24 = 4/x

We cross Multiply

12 × x = 24 × 4

x = 24 × 4/12

x = 8 meters

Hence, the length of the shadow of Luke = 8 meters

A pizza dlivery car can travel 11 km for every gallon of gasoline it uses. If the driver's average speed is 28 km/h, how many hours can the driver travel before emptying a full 35 gallon gas tank?

Answers

Answer:

13.75 hours

Step-by-step explanation:

First, find how many km the driver can travel:

11(35)

= 385

Then, divide this by 28 to find how many hours the driver can travel:

385/28

= 13.75

So, the driver can travel 13.75 hours

anyone know how to get rid of a chromebook firewall cuz im at my home and i just want to download some stuff​

Answers

Answer:

you cant

Step-by-step explanation:

Answer:

...Oh lord... uh... well, use a website unblocker? Look up how to take it down? I don't have this issue because I am a hacker, but-- XD

Step-by-step explanation:

YEAH. Anyways.

Find the equation of the line that contains the point (5. - 4) and is perpendicular
to the line x = 4. Write the line in slope-intercept form, if possible. Graph the lines.

Answers

Answer: y=-4

Rotate it

Good Luck!

Kara and her friends have $17 to spend at a pizza parlor.they would like to buy large pizza which costs $12 and then add as many toppings as possible if each topping (t) cost 50cents,which inequality describes the maximum number of toppings that the group can purchase?

Answers

Answer:

10

Step-by-step explanation:

(12 + x0.5) <= 17

Jake walked all the way around the perimeter of a square playground that has sides n feet long, then he walked an additional 20 feet. Which person walked the same distance as Jake?

Answers

Options :

Sarah, who walked a straight distance of n+10 feet.

Nancy, who walked around a square garden measuring n+5 feet on each side.

Jules, who walked around a rectangular room measuring n feet wide and 10 feet long.

Billy, who walked around a square lot measuring 20 feet on each side

Answer:

Nancy, who walked around a square garden measuring n+5 feet on each side.

Step-by-step explanation:

Given that:

Jake walked round the perimeter of a square with sides n feets long

Additional distance walked = 20 feets

Perimeter of a square = 4n

Where n = Length of the side

Hence Jake's total distance :

Perimeter walked + additional distance

4n + 20 feets

Comparing to Distance walked by Nancy:

Side length of square garden = n+5

Perimeter of the garden = 4 * side length

Perimeter of the garden = 4 * (n + 5)

Perimeter of the garden = 4n + 20 feets

Hence, Nancy walked the same distance as Jake

Simplify the expression by adding or subtracting the linear expressions. 12x + 6 - 8x + 7 *
4x + 1
4x + 13
20x + 13
20x + 1

Answers

Answer:

4x+13

Step-by-step explanation:

bc 12-8=4

6+7÷13

Combine like terms.
12x+6-8x+7
12x-8x= 4x
6+7=13
Answer: 4x+13

please help . imagine ^^

Answers

Answer:

A

Step-by-step explanation:

PLEASE MARK BRAINLIEST

A the answer is A, i agree with the person above

Can A Expert Answer This! Determine if the two triangles are congruent.

Answers

Answer:i say the answer is the first two and the last two

Step-by-step explanation:

Answer:

HL

Step-by-step explanation:

A shipping company charges a $3 flat fee for a package, plus a fee based on the weight of the package. The company charges $0.75 per pound, plus an additional $0.50 for every pound over 12 pounds. . George plans on sending a package that is over 12 pounds. He has $27 to spend on shipping. What is the maximum number of pounds that this package could be? The Maximum number of pounds is

Answers

Answer:

32 pounds

Step-by-step explanation:

$3 flat fee for a package, plus a fee based on the weight of the package. The company charges $0.75 per pound, plus an additional $0.50 for every pound over 12 pounds.

The first step would be to derived an equation

$3 + $0.75

3 + 0.75x

Where x = number of pounds

George plans on sending a package that is over 12 pounds. He has $27 to spend on shipping.

Hence,

3 + 0.75x = 27

0.75x + 3 = 27

0.75x = 27 - 3

0.75x = 24

x = 24/0.75

x = 32 pounds

The maximum number of pounds that this package could be is 32 pounds

2(2x+2)=7x+2-3x+2
solve

Answers

Answer:

All real numbers make this answer true: so x= all real numbers

Step-by-step explanation:

please help me this is for algebra 1 the correct answer ill give brainly!

Answers

Answer:

1/2x is m and 3 is b

Step-by-step explanation:

y= 1/2x +3

The formula would be MX+B.

so the slope which is m would be 1/2

and the +3 part would be the y intercept

because it's in the slope intercept form

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