Hola, alguien me puede resolver esta operación? a. Múltiplo de 5 y de 6 mayor que 95.000 ( _ 8 9 1 _ ) b. Divisible por 3, 4 y 5, menor que 4.675. ( 4 6 _ _ )

Answers

Answer 1

Answer:

a) 98,910

b) 4,620

Step-by-step explanation:

Recordar que un numero N es multiplo de A si N es divisible por A.

Entonces, decir:

Buscar N, tal que sea multiplo de A

es lo mismo que decir:

Buscar N, tal que sea divisible por A.

a) Queremos un múltiplo de 5 y de 6 mayor que 95.000

( _ 8 9 1 _ )

Sabemos que los múltiplos de 5 terminan en 0 o 5.

Y un número de 5 dígitos mayor que 95,000 requiere que el quinto digito en este caso sea 9, entonces tendremos:

98,91_

Para encontrar el dígito de las unidades, podemos probar remplazarlo por 0 y por 5, y luego dividirlo por 6.

Si el resultado es un número entero, entonces el número será un múltiplo de 6.

Probemos con 0, vamos a tener el número:

98,910

dividiéndolo por 6 obtenemos:

98,910/6 = 16,485

Entonces:

98,910 es más grande que 95,000

es múltiplo de 5 (porque termina en cero)

Y es múltiplo de 6, como acabamos de comprobar.

b) Ahora queremos un número divisible por 3, 4 y 5, que sea menor que 4,675

4,6__  

De vuelta, como tiene que ser divisible por 5, sabemos que termina en 5 o 0.

Y como también tiene que ser divisible por 4, sabemos que tiene que terminar si o si en número par, entonces podemos concluir que solo puede terminar en 0.

Así, sabemos que el número va a ser algo como:

4,6_0

Ahora podemos probar con el dígito de las decenas, de tal forma que el número sea divisible por 3, 4 y 5.

Recordar que este número tiene que ser menor que 4,675

Entonces el número faltante puede ser:

0, 1, 2, 3, 4, 5, 6, 7

Ahora también podemos recordar que un número es solo divisible por 3 si la suma de todos sus dígitos es divisible por 3.

Entonces tenemos que tener que:

4 + 6 + x + 0 = múltiplo de 3

10 + x = múltiplo de 3

Los posibles valores de x van a ser:

x = 2   (porque 12 es múltiplo de 3)

x = 5   (porque 15 es múltiplo de 3)

Ok, ahora sabemos que el número restante solo puede ser 2 o 3.

Entonces tenemos que remplazar esos valores en el número y ver si este es divisible por 4 o no.

Comenzamos con el 2.

Tendremos el número:

4,620

Probamos dividiendo esto por 4:

4,620/4 = 1,155

El resultado es entero, entonces 4,620 es divisible por 4 (y por como lo creamos, también sabemos que es divisible por 3 y por 5, y además es menor que 4,675, como queríamos)


Related Questions

a right cone with base circumference 14 pi ft
and slant height 3 times the radius. Give answer in terms of pi

Answers

the answer is a batty fish with a Somali forehead

If the volume of the cylinder is approximately 1,357 in3, what is the radius?

Answers

whats the height of the cylinder....

we cant find radius if not given height too

V = pie r^2 h

1357 = 22/7 x r^2 x 12

1357 = 264/7 r^2

multiply both side by 7/264 ;

r^2 = 36

r = 6in

The question has the image missing. Check the attachment for the complete question.

The radius of the cylinder r = 6 in, given the volume of the cylinder, is 1357 in³.

What is the volume of a figure?

The volume of a figure is the total space enclosed within the figure.

How do we determine the volume of a cylinder?

The volume of a cylinder of radius r units, and height h units is determined using the formula,

The volume of the cylinder = πr²h.

How do we solve the given question?

In the question, we are given a cylinder of the height of 12 inches and a radius of r inches.

The volume of the cylinder is given to be 1357 in³ approximately.

By the formula,

The volume of the cylinder = πr²h

or, 1357 = 3.14*(r²)*12

or, 1357 = 37.68r²

or, r² = 1357/37.68

or, r² = 36.013 ≈ 36 = 6²

∴ r = 6.

∴ The radius of the cylinder r = 6 in, given the volume of the cylinder, is 1357 in³.

Learn more about the Volume of a figure at

https://brainly.com/question/1972490

#SPJ2

Y-intercept = 5
Slope = 3

Answers

Answer:

the equation as intercept form is

y = 3x + 5

y= 3+5 is the answer hope u get it right

Https://imgur.com/a/n3PRcMY

Answers

1: Those angles are equal. That means 3x + 10 = 5x - 10.
20 = 2x.
That means x = 10

2. Easy now that u have x. Angle 1 is 3x + 10, which means its 3(10) + 10 which is 40

Will mark brainliest

Answers

Answer:

350

Step-by-step explanation:

You earn $30 for washing 5 cars. How much do you earn
per car?

Answers

Answer:

You get 6 dollars per car

Step-by-step explanation:

I divided 30 by 5

Answer: $6 per car

Step-by-step explanation:

If it's 30 dollars for 5 cars and we want to know how much it is for 1 car we need to divide both by 5

[tex]\frac{30}{5} =6\\\frac{5}{5} =1[/tex]

$6 per one car

are the triangle similar
1-yes
2-no

Answers

1 (yes)
Step by Step Explanation:
This is because the interior angle of any triangle adds up to 180 degrees. If two angles of the triangles are equal in the same angle, such as angles GOT and NUF are both 97. Additionally it can be pictured that if the triangle TOG were to be flipped 180 degrees, it would resemble triangle FUN

Answer:

yes the triangle are similar


(12 points)Please I need this answer right away multiple-choice answer trolls will be reported thank you lovesss
Hopefully one if you can help me And explain

Answers

Answer:

It's A

Step-by-step explanation:

B is out, because each step increases the value linearly by 1

C is out, because each step increases the value linearly by 9

D is out, because each step increases the value linearly by 6

A increases fivefold per step

I plotted the given ordered pairs as points on a plot and figured out the exact function for you, just so that you can look at it

Find the x-intercepts of the parabola with
vertex (1,20) and y-intercept (0,16).

Answers

Answer:

Step-by-step explanation:

Since we are finding the x-intercepts, that implies that this is a parabola that opens either up or down as opposed to right or left. It would benefit us to know the equation of the parabola so we could factor it to find the roots (which are also known as the x-intercepts).

Here's what we know:

h = 1, k = 20, x = 0, and y = 20. Filling in the vertex form of a parabola is already halfway to factored, so we'll use that format as opposed to the standard form, which is

[tex]y=ax^2+bx+c[/tex]. The vertex form is

[tex]y=a(x-h)^2+k[/tex] and filling in our values from above:

[tex]16=a(0-1)^2+20[/tex] and

[tex]16=a(1)+20[/tex] and

-4 = a. So the equation for the parabola is

[tex]y=-4(x-1)^2+20[/tex]. Now set it equal to 0 and factor.

[tex]-20=-4(x-1)^2[/tex] and divide both sides by -4 to get:

[tex]5=(x-1)^2[/tex] and take the square root of both sides to get

±[tex]\sqrt{5}=x-1[/tex] and then add 1 to both sides to get the x-intercepts (or roots or solutions or zeros...they're all the same).

x = 1 ±√5 and you're done!

Olivia went to a dance party. She paid $12 as an entry fee. Once inside the dance party, she paid $2 per snack. She started the night with $30 and spent all her money.


write an equation that represents this situation?

Pls help​

Answers

Answer:

30-12=18

18-18=0

Step-by-step explanation:

2x + 12 = 30

X represents the snacks, 2 represents the $2 per snack, 12 represents the $12 entry fee, and 30 represents the $30 Olivia had.

give me the factors of 30​

Answers

Answer: 1,2,3,5,6, and 10

Step-by-step explanation:

. The time of a clock as seen in a mirror is 3:15. The correct time is​

Answers

Answer:

3:15 cause a mirror cant change time

Step-by-step explanation:

go in ur mirror and look at the time did it somehow get darker or lighter???

Answer:

8:45 i think

Step-by-step explanation:

32% of a number is 64 what is the number

Answers

Answer:

If you take 32 percent of a number and get 64, then what is that number? In other words, you know that 32 percent of a number is 64 and you want to know what that initial number is. Therefore, the answer to "64 is 32 percent of what number?" is 200, and you can also derive that 32 percent of 200 equals 64.

Step-by-step explanation:

200

Step-by-step explanation:

32% x = 64

(32/100)x= 64

0.32x=64

x=64÷0.32

x=200

Question 1:

Solve this system of equations using any method.

4x – y = 5
3x + y = 16

a. (3, 5)

b. (4, 11)

c. (4, 4)

d. (3, 7)

Question 2:

Solve the following system of equations.

d + e = 6
d – e = 4

a. no solution

b. (5, 1)

c. (3, –1)

d. infinite number of solutions

Question 3:

Solve the following system of equations by linear combination:

4x + 3y = 12
y = x – 10

a. (3, –7)

b. (6, –4)

c. (–7, 3)

d. (–4, 6)

Answers

Answer:

Question 1: d. (3, 7)

Question 2: b. (5, 1)

Question 3: b. (6, –4)

Step-by-step explanation:

Question 1:

Solve this system of equations using any method.

4x – y = 5

3x + y = 16

Add the equations.

7x = 21

x = 3

4(3) - y = 5

-y = -7

y = 7

d. (3, 7)

Question 2:

Solve the following system of equations.

d + e = 6

d – e = 4

Add the equations.

2d = 10

d = 5

5 + e = 6

e = 1

b. (5, 1)

Question 3:

Solve the following system of equations by linear combination:

4x + 3y = 12

y = x – 10

4x + 3y = 12

-x + y = -10

Multiply the second equation by 4 and add to the first equation.

          4x + 3y = 12

(+)      -4x + 4y = -40

----------------------------

                  7y = -28

y = -4

-4 = x - 10

x = 6

b. (6, –4)

I will give anyone who can give me the right answer to the Brainist! I really need an answer!

Answers

Answer:

a. 49 ft (nearest ft)

b. 24.5 sec

Step-by-step explanation:

a. work out TOP

[tex] \sqrt{ {45}^{2} + {20}^{2} } \\ = 49.24 \\ = 49[/tex]

b.

[tex] \frac{49}{2} \\ = 24.5[/tex]

divide by 2 coz its 2 ft per second. so 49 ft for 24.5 sec

Answer:

49 feet

25 seconds

Step-by-step explanation:

use the pythagorean theorem

a² + b² = c²

20² + 45² = c²

400 + 2,025 = c²

2425 = c²

Take the square root of both sides

c = 49.244289009

Rounded

49 feet

------------------------

time

t = 49 /2

t = 24.5 seconds

Rounded

25 seconds

What’s a converse in mathematics

Answers

Answer:

A converse is the result of reversing its two constituent statements.

Example, P-Q. Converse would be Q-P

In logic and mathematics, the converse of a categorical or implicational statement is the result of reversing its two constituent statements. For the implication P → Q, the converse is Q → P. ... Either way, the truth of the converse is generally independent from that of the original statement.

Give the name (monomial,
binomial, trinomial etc.) and
degree of the polynomial.
4x5 + 3x3 – 7x

Answers

Answer:

Name:- Trinomial

Degree:- 5 [ the highest power of x is 5 ]

hope it is helpful to you

I need help with can you guys show me the work.

Answers

Answer:

Δy = 30 ft.

Step-by-step explanation:

From the question given above, the following data were obtained:

Angle θ = 17.5°

Hypothenus = 100 ft

Opposite = Δy =?

The value of Δy can be obtained by using sine ratio as follow:

Sine θ = Opposite / Hypothenus

Sine 17.5 = Δy / 100

Cross multiply

Δy = 100 × Sine 17.5

Δy = 30 ft

Point slope form equations can be converted into slope intercept form. Distinguish whether the following
equations are the equations of the same line. Prove and explain your answer. Show your work for your
teacher to review.
y+ 1 = 5(x + 2) and y = 5x + 10
PLEASE HELP IM LITERALLY DYING

Please help I will give brainlist

Answers

Answer:

they are NOT the same

Step-by-step explanation:

y+ 1 = 5(x + 2) is  y = 5x + 9

distribute the 5 and get 5x + 10

when you subtract the 1 from both sides the 10 becomes a 9

Cleiton vai participar de uma maratona e para isso treina diariamente correndo 7 km. No final de três semana quantos quilômetros terá percorrido?

Answers

Answer:

Number of kilometer he run in 3 week = 147 kilometer

Step-by-step explanation:

Given:

Cleiton's daily run = 7 km

Find:

Number of kilometer he run in 3 week

Computation:

Number of days in a week = 7

Number of days in 3 week = 7 x 3

Number of days in a week = 21 days

Number of kilometer he run in 3 week = Cleiton's daily run × Number of days in a week

Number of kilometer he run in 3 week = 7 × 21

Number of kilometer he run in 3 week = 147 kilometer

Please help first real answer will get brainliest

Answers

Answer:

6

Step-by-step explanation:

a1(n-1) + D

d = 6

PLEASE HELP! Urgent I'll give brainliest if answer is right tysm.
The force, F (Newtons), between two objects is inversely proportional to the square of the distance, d (metres), between them.
The force is 0.35 Newtons when the distance between the objects is 8 metres.
Work out F (rounded to 2 DP) when d=7 metres.

Answers

Sorry for the wrong answer

Answer:

0.46 Newtons

Step-by-step explanation:

The force, F (Newtons), between two objects is inversely proportional to the square of the distance, d (metres), between them.

f = k/d²

--------------------------------

to determine k use The force is 0.35 Newtons when the distance between the objects is 8 metres.

0.35 = k/8²

0.35 = k/64

multiply both sides by 64

22.4 = k

---------------------------

Work out F (rounded to 2 DP) when d=7 metres.

f = 22.4/7²

f = 22.4/49

f = 0.46

8 books cost 11.20. Find the cost of 5 books

Answers

First of all we have to find the cost of a book then multiply it by 5 :

$ 11.20 ÷ 8 = $ 1.4

$ 1.4 × 5 = $ 7

Thus 5 books have a cost of $ 7 .

Answer:

The cost of 5 books is $7

Step-by-step explanation:

If there are 8 books and you need to find the cost of 5, you need to first find the cost for one book.

If 8 books cost 11.20.

11.20 ÷ 8 = 1.40

1.40 is the cost of one book

1.40 x 5 = 7

So the cost of 5 books is $7

I tried my best to explain

how many miles from the runaway airplane at the start of this approach.​

Answers

Answer:

it should be 41 ml I think.

Select the FOUR equations that are equivalent to 2(x+3)−2=16.

A (x+3)−1=8open paren x plus 3 close paren minus 1 is equal to 8

B (x+3)−2=8open paren x plus 3 close paren minus 2 is equal to 8

C 2(x+3)=182 times open paren x plus 3 close paren is equal to 18

D x+3=9x plus 3 is equal to 9

E 2x=122 x is equal to 12

F 2x=15

Answers

Answer:

A (x+3)−1=8open paren x plus 3 close paren minus 1 is equal to 8

C 2(x+3)=182 times open paren x plus 3 close paren is equal to 18

E 2x=122 x is equal to 12

Step-by-step explanation:

Given:

2(x+3) − 2 = 16

2x + 6 - 2 = 16

2x = 16 - 6 + 2

2x = 12

x = 12/2

x = 6

A. (x+3)−1=8

x + 3 - 1 = 8

x = 8 - 3 + 1

x = 6

B (x+3)−2=8

x + 3 - 2 = 8

x = 8 - 3 + 2

x = 7

C 2(x+3)=18

2x + 6 = 18

2x = 18 - 6

2x = 12

x = 12/2

x = 6

D x+3=9x

3 = 9x - x

3 = 8x

x = 3/8

E 2x=12

x = 12/2

x = 6

F 2x=15

x = 15/2

x = 7 1/2

Use the proportion of the triangle enlargement to find the missing measure of the enlarged triangle. 1. Set up the proportion:

Answers

Answer:

[tex]x =24[/tex]

Step-by-step explanation:

Given

See attachment for complete question

Required

Complete the blanks

1: Set up the proportion:

[tex]\frac{9}{6} = \frac{x}{16}[/tex]

2: Use cross product:

[tex]9(16)=6x[/tex]

3: Simplify:

[tex]144 = 6x[/tex]

4: Divide:

[tex]144/6 = 6x/6[/tex]

[tex]24 = x[/tex]

[tex]x =24[/tex]

Answer: 4 cm

Step-by-step explanation:

Ashley has baked 17 cakes for a bake sale. She can bake 2 cakes with each additional stick of butter
she buys. How many additional sticks of butter does she need in order to make 41 cakes?
WRITE THE EQUATION THEN SOLVE PLEASEEEE. THANK YOU SO MUCH

Answers

Answer:

12 additional sticks of butter

Step-by-step explanation:

First, create an equation. Let y represent the number of additional sticks of butter needed, and let x represent the number of cakes made.

y = [tex]\frac{x}{2}[/tex] will be the equation.

Since she has already baked 17 cakes, she will need to bake 24 more cakes to make 41 cakes.

Plug in 24 as x into the equation, and solve for y:

y = [tex]\frac{x}{2}[/tex]

y = [tex]\frac{24}{2}[/tex]

y = 12

So, she will need 12 additional sticks of butter

State if the two triangles are congruent.

Answers

Answer:

The triangles are congruent  by HL

Step-by-step explanation:

The triangles are right triangles so we can use either HL ( hypotenuse leg) or LL (leg leg) if we know that two sides are congruent

We know one leg is equal to the other by the red line.  The hypotenuse is the same since it is the same line.

The triangles are congruent  by HL

which of the following is equivalent to squareroot 8?

Answers

Answer:

2√2

Step-by-step explanation:

1. If NK = 7 and KL = 15, find NL.


2. If m∠JMK = (8x – 13)° and m∠LMK = (4x + 19)°, find x.

Answers

Answer:

NL = 13.26

x = 9.5

Step-by-step explanation:

Find the diagram attached

1) Given that NK = 7 and KL = 15

NL² =  KL² - NK²

NL²  = 15² -7²

NL²  = 176

NL  = 13.26

2) Given that m∠JMK = (8x – 13)° and m∠LMK = (4x + 19)°

From the  rhombus;

m<JML = 120 degrees

m∠JMK + m∠LMK = m∠JML

8x-13 + 4x +19 = 120

12x + 6 = 120

12x = 120-6

12x = 114

x = 114/12

x =  9.5

Hence the valle of x is 9.5

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