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

URGENT
Choose the true statement below for the following equation: y = 10x + 2

The equation doesn't represent a function.

The equation does represent a function, but it is not one-to-one.

The equation represents a one-to-one function.

Answers

Answer:

the last statement is true

Step-by-step explanation:

the equation is in the form mx+c which means it is a stright line and will only cross the x axis once

Answer:

The equation represents a one-to-one function.

Step-by-step explanation:

y = 10x + 2

is a line with a slope of 10

it is a function since each x value has one and only one y value

This passes the vertical line test

It is one-to-one

since each y value has one and only one x value

This passes the horizontal line test

Encuentra el volumen de un prisma rectangular que mide 14m de largo y 10 m de ancho 34m de altura.

Answers

4,760m^3
14x10x34
140x34=4760

The triangle is isosceles find the length h of side x in simplest radical form with a rational denominator

Answers

Answer:

x = √3

Step-by-step explanation:

Find the diagram attached

Given

Opposite = √3

Adjacent = x

Acute angle theta = 45degrees

According to SOH CAH TOA;

tan theta = opp/adj

tan 45 = √3/x

x = √3/tan45

x = 1

x = √3

Hence the value of x in its simplest radical form is √3

a rectangle has an area of 36mm^2. all sides are the same length. what is the length of a single side.

Answers

The length of side of the rectangle is 6 mm

Since the rectangle has an area of A = 36 mm² and the rectangle has all its sides the same length, then, it is a square. We know that the area of a square A = L² where L = length of sides of square.

Length of side of rectangle

Since we require the length of sides of the rectangle, we make L subject of the formula.

So, L = √A

Now, since the area of the rectangle, A = 36 mm², substituting the value of the variable into the equation, we have

L = √A

L = √(36 mm²)

L = 6 mm

The length of side of the rectangle is 6 mm

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pleaseeee helpp mee!!!!!

Answers

One expression can be 6(4-3x)

Given the function f(x) = 3x + 1 what is f(-2)?

Answers

Answer:

-5

Step-by-step explanation:

f(-2) means that -2 is going to be our input in this function.

To solve this, simply substitute -2 for x in the expression given.

If f(x) = 3x+1, then f(-2) = 3(-2) + 1

3(-2)+1 = -6+1 = -5

Hope this helped!

Answer:

f(-2) = 3(-2) + 1

f(-2) = 6 + 7

Therefore: f(-2) = 7

factorise using suitable identities
x^2 - 2x + 1

Answers

Answer:

(x - 1)^2

Step-by-step explanation:

using middle term break method

x^2 - 2x + 1

here, we need to numbers which gives 1 when multiplied and 2 when add .

=x^2 - (1 + 1)x + 1

=x^2 - x - x + 1

=x(x - 1) -1(x - 1)

=(x -1)(x - 1)

=(x - 1)^2

Step-by-step explanation:

by middle term factorisation method

x^2 -2x + 1

= x^2 -( 1+1)x + 1

= x^2 -x -x + 1

= x(x-1) -1( x -1)

= (x-1)(x-1)

OR

we know above polynomial ( quadratic ) equation is in form

(a - b )^2 = a^2 -2ab + b^2

so it's factories form is

( a- b)( a- b)

which of the following systems of linear inequalities is represented by the solution graphed below?

Answers

Answer is A, y us smaller/equal to 2 and y is smaller/equal to X

Find a round to the nearest tenth 12 22 75 x x=?

Answers

Answer:

By law of Sines[tex]\frac{Sin75^o}{22} =\frac{Sinx}{12}[/tex][tex]\frac{Sin75}{22}(12)=\frac{Sinx}{12} (12)[/tex][tex]0.5268=Sinx[/tex][tex]Sin^(0.5268)=x[/tex][tex]x=31.789[/tex][tex]x=31.79^o[/tex]-----------------------hope it helps..have a great day!!

Find the slope of a line through (4, 5) and (4, -5). Determine if the line is vertical, horizontal, or neither.

Answers

Answer:

Vertical

Slope cannot be determined

Step-by-step explanation:

To find the slope, we are going to use the slope equation as follows

m = (y2-y1)/(x2-x1)

(x1,y1) = (4,5)

(x2,y2) = (4,-5)

m = (-5-5)/(4-4)

This gives an undefined answer and thus we cannot hate the slope value

Looking at the x-axis coordinates, we can see that the difference is just the y axis coordinates and as such we can confirm that the line is vertical

Consider the equation y = -2x + b. Find the value of b if the line passes through (-5, 4).
Select one:
a. b = -3
b. b = 4
c. b = 2
d. b = -6

Answers

Answer:

b = -6 (Answer d)

Step-by-step explanation:

The slope-intercept equation is y = -2x + b, and we know that the line passes through (-5, 4).  Substitute -5 for x and 4 for y, to obtain:

4 = -2(-5) + b, or

4 = 10 + b, or

b = -6 (Answer d)

I need help on number 1

Answers

Answer:

V =960 in ^3

Step-by-step explanation:

V = l*w*h

V = 12*8*10

V =960 in ^3

960 is your answer
Explanation:
Formula is V=L•W•H
960= 12 • 8 • 10

The square of a number 60 greater than half of the number. Form a
quadratic equation and solve to determine the possible values of the
number.

Answers

Answer:

Sorry Baby i don't know

Step-by-step explanation:

Bye

Determine wether the lines given are parallel, perpendicular or neither

Answers

Answer:

Neither

Step-by-step explanation:

We can determine from their equations whether two lines are parallel by comparing their slopes. If the slopes are the same and the y-intercepts are different, the lines are parallel. If the slopes are different, the lines are not parallel. Unlike parallel lines, perpendicular lines do intersect. So if the slopes have reciprocals, they are perpendicular. Otherwise, they are neither.

Solve logx − 1 16 = 4

Answers

Answer:

logx=120

Step-by-step explanation:

In circle P, BC = 24 ft. What is the length of arc AC?


A)π

B)2π

C)4π

D)8 π

Answers

The answer is b because I got it right

Answer:

b

Step-by-step explanation:

If f(x) = 2x²+2 and g(x) = x² - 1 ,find (f- g)(x).
A. 3x² +3
B. 3x² +1
C. x² +1
D. x² +3

Answers

Step-by-step explanation:

(F-g) (X)

= f(x) - g(x)

(2x² + 2 )-(x²-1) =

3x²+3

Asia is the largest of the world’s seven continents with an area of approximately 1.7 times 10 Superscript 7 square miles. Australia, the smallest continent, has an area of approximately 3.1 times 10 Superscript 6 square miles.

How much larger is Asia than Australia? Express the answer in scientific notation.
1.40 times 10 Superscript 6 square miles
2.93 times 10 Superscript 6 square miles
1.39 times 10 Superscript 7 square miles
2.01 times 10 Superscript 7 square miles

Answers

The amount of area larger is Asia than Australia will be 1.39 × 10⁷. Then the correct option is C.

What is subtraction?

It simply implies subtracting something from an entity, group, location, etc. Subtracting from a collection or a list of ways is known as subtraction.

Asia is the largest of the world’s seven continents, with an area of approximately 1.7 times 10⁷ square miles.

Australia, the smallest continent, has an area of approximately 3.1 times 10⁶ square miles.

Then the amount of area larger is Asia than Australia will be

⇒ 1.7 × 10⁷ – 3.1 × 10⁶

⇒ 1.7 × 10⁷ – 0.31 × 10⁷

⇒ 1.39 × 10⁷

Then the correct option is C.

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Please help me with this

Answers

Answer:

6y

Step-by-step explanation:

The two figure are squares with the same area

side = √area = √y^2 = y (with y>0 because a length can‘t be negative)

perimeter = side * 6 = y * 6 = 6y

What is the product?

Answers

Answer:

Step-by-step explanation:

In exponent multiplication, if base are same just add the powers.

[tex](-6a^{3}b+2ab^{2})(5a^{2}-2ab^{2}-b)=(-6a^{3}b)*(5a^{2}-2ab^{2}-b)+2ab^{2}*(5a^{2}-2ab^{2}-b)\\\\[/tex]

                                             [tex]=(-6a^{3}b)*5a^{2}-(-6a^{3}b)*2ab^{2}-(-6a^{3}b)*b+ 2ab^{2}*5a^{2}-2ab^{2}*2ab^{2}-2ab^{2}*b\\\\=-30a^{3+2}b+12a^{3+1}b^{1+2}+6a^{3}b^{1+1}+10a^{1+2}b^{2}-4a^{1+1}b^{2+2}-2ab^{2+1}\\\\=-30a^{5}b+12a^{4}b^{3}+6a^{3}b^{2}+10a^{3}b^{2}-4a^{2}b^{4}-2ab^{3}\\[/tex]

Amira is trying to find the height of a radio antenna on the roof of a local
building. She stands at a horizontal distance of 26 meters from the building.
The angle of elevation from her eyes to the roof (point A) is 23°, and the
angle of elevation from her eyes to the top of the antenna (point B) is 33°. If
her eyes are 1.54 meters from the ground, find the height of the antenna (the
distance from point A to point B). Round your answer to the nearest meter if
necessary.

Answers

Answer:Using the formula for the area of the composite shape, Area of composite shape = Area of rectangle + area of the square. ⇒ Area of composite shape = 14+9 = 23 square inches.

Step-by-step explanation:

Which equation an exponential function that passes through the point (2,80)

Jewel is 7 years old and John is 16 years younger than Dave. One year ago, Dvae's age was twice the sum of Jewel's and John's ages. Fine the current age of each of them.

Answers

Answer:

Jewel is 7 years old

John is 1 year old

Dave is 17 years old

Step-by-step explanation:

From the question we are told that:

Jewel age is [tex]J=7 years[/tex]

John age [tex]J'=(D-16)years[/tex]

Dave's age a Year ago

 [tex]D-1=2(J-1+J'-1)[/tex]

So that Dave.s age this Year could be

 [tex]D=2((J-1)+(J'-1))+1[/tex]

Simplifying Equation for Dave's age we have

 [tex]D=2((7)-1+(D-16)-1)+1[/tex]

 [tex]D=2(6+D-15)+1[/tex]

 [tex]D=2(D-9)+1[/tex]

 [tex]D=2D-18+1[/tex]

 [tex]D=17 Years[/tex]

Dave is 17 years old

Therefore

Johns age is

 [tex]J'=(D-16)[/tex]

 [tex]J'=17-16[/tex]

 [tex]J'=1year old[/tex]

John is 1 year old

Question is due soon I need help

Answers

Answer:

looks like C is best guess

Geraldo orders a private jet for a party that has a flat rate of 175,000
dollars plus an addition 65,000$ for each additional passenger. He as AT
MOST 1 million dollars to spend ($1,000,000) how many people can he
take with him? (Round down to the nearest human and WRITE YOUR
ANSWER AS A SENTENCE)*

Answers

Answer:

im not really sure but try 600,0

Step-by-step explanation:

PLEASE HELP AND ASAP!!!!
Find the mean of the given set of numbers. 1, 4, 2, 2, 6, 9

Answers

Answer:

4

Step-by-step explanation:

Answer:

There are several different means:

Arithmetic: 4 (This is most likely your answer.)

Geometric: 3.0862

Harmonic: 2.3736

Hope that this helps!

Sara invests $4000 at 7.2% annual interest compounded monthly. Find the final amount of Sara's investment after 15 years. *

Answers

Answer:

$8,711.99

Step-by-step explanation:

The formula for calculating the compound interest in expressed as;

A =P(1+r/n)^nt

Principal P = $4000

r is the rate = 7.2% = 0.072

t is the time = 15years

n = 1/12

Substitute

A = 4000(1+0.072(1/12))^15/12

A = 4000(1+0.072(12))^1.25

A = 4000(1+0.864)^1.25

A = 4000(1.864)^1.25

A = 4000(2.1779)

A = 8,711.99

Hence the final investment after 15years is $8,711.99

PLEASE HELP I REALLY NEED THIS ANSWERED, I NEED THE VOLUME OF BOTH CYLINDERS PLZ DONT USE AN ONLINE CALCULATOR THEY GIVE THE WRONG ANSWER

Answers

Answer:

[tex]\large\fbox{\green{\underline{Cylinder P :- \blue{ 794.0275 in ³}}}}[/tex]

[tex]\large\fbox{\green{\underline{Cylinder Q :- \blue{1,307.81 in³}}}}[/tex]

Step-by-step explanation:

Volume of cylinder = π × ( radius ) ² × h

1.) Here, radius = 4.25 in and height = 14 in.

Volume of cylinder = π × ( radius ) ² × height

substitute the values

Volume of cylinder P = 3.14 × ( 4.25 in ) ²×14 in.

now, simplify

= 3.14 × 18.0625 in²× 14 in.

= 3.14 × 252.875 in³

multiplying the value

= 794.0275 in³

[tex] \small \: \: \sf \: \fbox{ cirumference \: of \: cylinder \: P \: = {794.0275 in³}}[/tex]

2.) Here, radius = 7 in. and height = 8.5 in.

Volume of cylinder Q = π × ( radius ) ² × height

substitute the values

Volume of cylinder Q = 3.14 × ( 7 in )² × 8.5 in.

Simplify

= 3.14 × 49 in² × 8.5 in.

multiply the values

= 3.14 × 416.5 in³

[tex] \small \sf \fbox{Volume of cylinder Q = 1,307.81 in ³}[/tex]

pls help me on this i don't know what to do ​

Answers

Answer:

A.

Step-by-step explanation:

   Factor out x^2-3x-40.  Know that the zeroes of a function multiply to be equal to the constant (-40) and add up to the coefficient of the x term (-3).  The two numbers that do that are -5 and 8.  Recall that to be zeroes, at least one of the x-values must make the equation equal 0.  So if x=-5, (x+5) is the term that would be 0.

You could also multiply the factored forms that are given to find the correct one.

ZA=
Round your answer to the nearest hundredth.
С
A
?
5
8
B

Answers

Answer:

∠A = 38.68°

Step-by-step explanation:

[tex]sinA=\frac{5}{8}\\A=sin^{-1}(\frac{5}{8})\\A=38.68[/tex]

The measure of the ∠A in this right-angled triangle is,  38.68°.

What are trigonometric ratios in terms of a right-angle triangle?

We know a right-angled triangle has three sides they are -: Hypotenuse,

Opposite and Adjacent.

We can remember SOH CAH TOA which is,

sin = opposite/hypotenuse, cos = adjecen/hypotenuse and

tan = opposite/adjacent.

From the given figure, With reference to ∠A, the Opposite is 5 units and the hypotenuse is 8 units.

We know, sin = opposite/hypotenuse.

Therefore, sinФ = 5/8.

Ф = sin⁻¹(5/8).

Ф = 38.68°.

learn more about trig ratios here :

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PLEASE HELP THIS IS SUPER IMPORTANT!!!! A culture of bacteria has an initial population of 860 bacteria and doubles every 9
hours. Using the formula Pt= P0x2t/d, where Pt is the population after t hours, Po
is the initial population, t is the time in hours and d is the doubling time, what is the
population of bacteria in the culture after 4 hours, to the nearest whole number?

Answers

Answer:

1170

Step-by-step explanation:

Substitute values into given equation and solve for P(t):

P(t) = P₀*2^(t/d)P(4) = 860*2^(4/9) = 1170 (rounded)
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