How many 4 digit numbers consisting of only the digits 2,4,6 and 8 are divisible by 4

Answers

Answer 1

Answer:

2

Step-by-step explanation:

4 and 8

Answer 2

Answer:

digits used once: 12repeated digits: 128

Step-by-step explanation:

In order for a number to be divisible by 4, its last two digits must be divisible by 4. This will be the case if either of these conditions holds:

the ones digit is an even multiple of 2, and the tens digit is eventhe ones digit is an odd multiple of 2, and the tens digit is odd.

We must count the ways these conditions can be met with the given digits.

__

Since we only have even numbers to work with, the ones digit must be an even multiple of 2: 4 or 8. (The tens digit cannot be odd.) The digits 4 and 8 comprise half of the available digits, so half of all possible numbers made from these digits will be divisible by 4.

digits used once

If the numbers must use each digit exactly once, there will be 4! = 24 of them. 24/2 = 12 of these 4-digit numbers will be divisible by 4.

repeated digits

Each of the four digits can have any of four values, so there will be 4^4 = 256 possible 4-digit numbers. Of these, 256/2 = 128 will be divisible by 4.


Related Questions

Find the slope of the line that passes through the points f(4) = 6 and f(-2) = 8.

Answers

Answer:

slope = - [tex]\frac{1}{3}[/tex]

Step-by-step explanation:

given f(4) = 6 and f(- 2) = 8 , then 2 points on the line are

(4, 6 ) and (- 2, 8 )

calculate slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (4, 6 ) and (x₂, y₂ ) = (- 2, 8 )

m = [tex]\frac{8-6}{-2-4}[/tex] = [tex]\frac{2}{-6}[/tex] = - [tex]\frac{1}{3}[/tex]

David bought a computer that was 25% off the regular price of $1,080. If an8% sales tax was added to the Cost of the computer what was the total price David pay for

Answers

Answer:

$878.80

Step-by-step explanation

Multiply 1080 by 0.25 for the 25% which then should equal $810. 810 times 0.08 would equal 64.8. Add the 64.8 to the 810 and it should be $874.80. Hope it helps and is not wrong. :)

solve the proportion

Answers

Answer:

K=4.44444444444

Step-by-step explanation:

k/6=15/18.

Cross multiply.

k*18=18k.

6*15=80.

18k=80.

18k/18=80/18.

k=4.44444444444

Vill all three students complete a sign at the same time? Explain your
no
has 48 chocolate chip cookies, 64 vanilla cookies, and 100 raisin cookies for a
ale. He wants to make bags that have all three cookie flavors and the same
er of each flavor per bag.
ow many bags can he make without having any cookies left over?

Answers

i think it would be 23 bags without any cookies left over

james has decided to start saving for a cruise over the summer. his money is currently in the local bank modeled by the function sx equals 102. he is able to do work around the neighborhood to earn extra money that the function would be a x equals eight times x +2 where x is measured in hours. explain how james can we create a function to combine the two and describe any simplification that can be done

Answers

In the scenario above,  James can we create a function to combine the two by   f ( x ) = 8 x + 118.

What is the simplification about?

In the question above, to be able to create a function, we have to show that;

s ( x ) = 102  

a ( x ) = 8 ( x + 2 )

So, a function that combines the two will be:

f ( x ) = s ( x ) + a ( x ) = 102 + 8 ( x + 2 ) =

= 102 + 8 x + 16

Therefore    f ( x ) = 8 x + 118

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To identify the most efficient model for a windmill, Gandalf Engineering Company designs the windmill shown. The design consists of four right triangles arranged equally around point O such that point O is the midpoint of BF¯¯¯¯¯ and DH¯¯¯¯¯¯.

Answers

Deductive Reasoning is the practice of arriving at a mathematical conclusion by simply analyzing the facts using the knowledge of the related concepts.

What is the proof that ∠A ≅ ∠E?

Looing at ΔOAB and ΔOEF

It is clear that

OB = OF (O is the midpoint)



∠OBA = ∠OFE = 90°

Therefore

∠AOB = ∠EOF (Vertically Opposite Angles)

⇒ ΔOAB ≅ ΔOEF and


∠ A ≅ ∠E.

QED

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Help ASAP



Ben is making a chart in which he is listing the masses of different planetary bodies. He plans to write the masses in scientific notation. Convert the values in scientific notation to standard notation.
The mass of Ganymede is 1.48E23, or , kilograms.
The mass of Pandora is 2.20E17, or , kilograms.

Answers

Step-by-step explanation:

I think 2.20e23 because it said bodies not body

I need help, please. I don’t understand

Answers

Answer:

60%

Step-by-step explanation:

So, this question is saying the bowls can be between a diameter of 6.95 and 7.05

Box 1, 3 and 5 are in this margin.

Box 2 and 4 are not.

3/5 boxes can be included.

3/5 is 6/10

6/10 is 60%

PLEASE HELP!!!!!!!!!

Answers

Answer:

CE = 4.6 ft

Step-by-step explanation:

(a)

given 2 secants drawn from an external point to the circle , then

the product of the external part of one secant and the entire secant is equal to the product of the other secant's external part and that entire secant, that is

BE × BC = AB × DB

(b)

substituting given values into the equation

BE × 10 = 3 × 18

10 BE = 54 ( divide both sides by 10 )

BE = 5.4 ft

then

CE = CB - BE = 10 - 5.4 = 4.6 ft

identify the slope and y intercept of the function y = - 8x + 1

Answers

Answer:

Slope: -8

Y intercept: (0,1)

Step-by-step explanation:

^^^^

Answer:

[tex]\star\mathtt{Ans.\:\#1:\:Slope:-8}[/tex]

[tex]\star\mathtt{Ans.\:\#2:\:y\:intercept:\:1}[/tex]

Step-by-step explanation:

Hi student, let me help you out.

................................................................................................................

First note that the equation we are working with is in slope intercept form. Do you remember the slope intercept form equation? It's [tex]\mathtt{y=mx+b}[/tex].

In the slope intercept form equation, "m" denotes "slope" and "b" denotes "y intercept".

Looking back at our equation, let's work out the slope & y intercept.

Let's put these two equations together:

[tex]\mathtt{y=mx+b}[/tex]

[tex]\mathtt{y=-8x+1}[/tex]

See what I mean? The y intercept of this equation is 1 and the slope is -8.

Hope this helped you out! Ask in comments if any queries arise.

Best wishes from "reflect"!

[tex]\star\bigstar\underline{\overline{\overline{\underline{\textsf{Reach far. Aim high. Dream big.}}}}}\bigstar\star[/tex]

[tex]\underline{\rule{300}{6}}[/tex]

3D TRIGONOMETRY PLS HELP ME HELP​

Answers

tan30= CF/50
CF= 28.8675…cm
CA^2= 50^2 +70^2
CA= 86.02325…cm
Angle CAF= tan-1(28.8675/86.02325)
= 18.6 (3 s.f.)

Help me if you can please!!!

Answers

To solve this, we need to use our trigonometric equations:

 ⇒ look at the diagram attached

Let's examine what the problem wants:

the length of the side opposite to the 27-degree angle

Let's examine what the problem gives us:

the length of the side adjacent to the 27-degree anglethe angle that has a measure of 27-degrees

Let's solve:

  [tex]tan(27)=\frac{x}{15} \\x=15*tan(27)\\x=7.64[/tex]

Answer: 7.6 (rounded to the nearest tenth)

Hope that helps!

7.6 hood this helps have a great day

Find the following integrals

Answers

[tex]\large{\underline{\underline{\pmb{\sf{\color{yellow}{Answer:}}}}}}[/tex]

[tex] \sf x - \frac{4}{x} + C[/tex]

Step-by-step explanation:

[tex] \sf \longmapsto \int \frac{ {x}^{2} + 4 }{ {x}^{2} }dx \\ \\ \\ \sf \longmapsto \int \frac{ {x}^{2} }{ {x}^{2} } dx + \int \frac{4}{ {x}^{2} } dx \\ \\ \\ \sf \longmapsto \int 1dx + 4 \int \frac{1}{ {x}^{2} } dx \\ \\ \\ \sf \longmapsto x + 4( \frac{{x}^{ -2 + 1}}{ -2 + 1} ) + C \\ \\ \\ \boxed{ \longmapsto x - \frac{4}{x} + C} [/tex]

REASONING A rectangular box has dimensions of x inches by (x+5) inches by (x−2) inches. The volume of the box is 30x cubic inches. Find the dimensions of the box. Write the dimensions in ascending order.

Answers

V= 30x in^3 = (x) * (x+5) * (x+2)
Divide both sides by x

30= (x+5)(x-2)
30=x^2+3x-10
0=x^2+3x-40
0=(x+8)(x-5).

X=-8,5

Box is 3x5x10 inches

can someone help me with this question ​

Answers

Answer:

Step-by-step explanation:

Proof

AB||CD                          Given

<1 = <2                           Given

<2 = <3                          Alternate interior angles of Parallel lines

<1 =  <3                          Substitution for <2 from Given.

AC = AB                        the sides opposite equal angles are equal

!!!20 POINTS AND BRAINLIEST!!!PLEASE SHOW WORK!!

Describe the graph of y= 3x+14/x-2. Define the horizontal and vertical asymptotes and several points on either side.

Answers

The vertical asymptotes are x = 2 and horizontal asymptotes are y = 3 and the parent graph is shifted two to the right and three to the top.

What is hyperbola?

It's a two-dimensional geometry curve with two components that are both symmetric. In other words, the number of points in two-dimensional geometry that have a constant difference between them and two fixed points in the plane can be defined.

We have a graph of a hyperbola:

[tex]\rm y=\dfrac{\left3x+14\right}{x-2}[/tex]

The above equation represents the hyperbola.

We can write the above equation as:

[tex]\rm y=3+\dfrac{\left20\right}{x-2}[/tex]

The vertical asymptotes: x = 2

The horizontal asymptotes: y = 3

Thus, the vertical asymptotes are x = 2 and horizontal asymptotes are y = 3 and the parent graph is shifted two to the right and three to the top.

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Need help please !!!

Answers

Answer:

2.4 is the answer I think

Step-by-step explanation:

I got you I think

Answer:

1) h= 19.4

2) p=1/2

3) k= 75

4) k= 75

5) m=18

6) t= -11

Step-by-step explanation:

In a certain week, the time Lisa spent on
sport was 3 hours less than twice the time
she spent doing her school homework. The
time she spent on reading was of the time
she spent doing her school homework. The
total time she spent on these three
activities was 30 hours in that week. Form
an equation and solve it to find the amount

Answers

Answer:

2M + 3  hrs

Step-by-step explanation:

Lisa spent doing her mathematics homework = M  hrs

the amount of time spent watching television was 3 hours more than twice the time she spent doing her mathematics homework.

lisa spent on watching television = 2M + 3  hrs

Total time spent on these two activities = M + 2M + 3

= 3M + 3 hrs

3 M  +  3 = 30

=> 3M  = 27

M = 9

Help, I still don't understand this question!
What is the measure of ∠BAC, ∠ABC, and ∠ACB?

Answers

The answer is:
   " m∠BAC = 45° ;  m∠ABC, = 64° ; and:  m∠ACB = 70° ."
__________

Step-by-step explanation:

To find the measure of ∠BCA {"m∠BCA"} :

<BCA is supplementary to " 110 " ; that is, both, or all, of all the measurements that form a "line or line segment";  or any portions thereof,

that can be written in:  "slope-intercept format"

  that is, on Cartesian plane:  " y = mx + b " ;

  in which:  "y" is isolated on the "left-hand side" of the equation; as a single, isolated variable;

  and in which:  "m" is the "slope" (if applicable); and the coefficient to the "x"  value'

  and in which "b" is the "y-intercept"; or more precisely"
    the value of the "y-coordinate"—in: "(x, y)" format —at which:
    " x = 0" ; that is, in the format:  " (0, b)."
_________________
So, to find
m∠BCA :  Subtract our given value, "110" ; from "180" ; as follows:
_________________

  " (180 − 110) = 70" ;
__________________
Now:   Note a triangle, by definition, has 3 (three) sides and 3 (three) angles—and all three (3) angles of a triangle add up to 180°.

So:  We just solved for  m∠ACB ; which is:  70° .

Now shall solve for the value of "x" ; & then find the value of all 3 (three) sides of this triangle

Since all angles within a triangle add up to 180: Let's add them up:
  " 70  +  3x + 20 + 3x = 180 " ;

 Combine the "like terms" on the "left-hand side" of the equation:
  " +3x + 3x = 6x " ;  "+ 70 + 20 = 90 ";
And rewrite the equation:
  "  6x + 90 = 180 " ;

Now, subtract "90" from Each Side of the equation:
  "  6x + 90 − 90 = 180 − 90 " ;
to get:   " 6x = 90 " ;

Now, divide Each side of the equation by "6" ;

  to isolate "x" on one side of the equation ;
    and to solve for "x" :
   " 6x / 6 = 90 / 6 ;

to get:  " x = 15 " ;
________________
Now, we are asked to find:
1)  " m∠BAC = 3x " ;  Plug in "15" for "x" ; and solve:
                     "3x = 3(15) = 45 " ;
2)  " m∠ABC = "(3x + 20)" ; Plug in "15" for "x"; and solve:
                     "3(15) + 20 = 45 + 20 = 65 " ;
3)  " m∠ACB  = 70 " ; (as per our calculated value);

To check our work—do these 3 (three) numbers add up to 180?

   "45 + 65 + 70 =? 180 ? " ;

   " 110 + 70 = " 180 "? Yes!
__________
So: The answer is as follows:
   " m∠BAC = 45° ;  m∠ABC, = 64° ; and:  m∠ACB = 70° ."
__________
Hope this is helpful to you!  Best wishes!

Which graph shows the line y-4 = 3(x + 1)?
-5
5
D
O A. Graph A
B. Graph B
O C. Graph C
D. Graph D
5
B/A//C

Answers

Answer:

The answer is graph D since y int = 3(1)+4 which is 7, that graph crosses y at 7

The dual bar chart shows the hair colour of boys and girls in a year group.

What fraction of the red haired students are boys?
Give your answer in its simplest form

Answers

The fraction of the red haired students are boys will be 2 / 5.

What is a fraction number?

A fraction number is a number that represents the part of the whole, where the whole can be any number. It is in the form of numerator and denominator.

The dual bar chart shows the hair colour of boys and girls in a year group.

The total number of the boys and girl will be

Total = 6 + 9

Total = 15

Then the fraction of the red haired students are boys will be

⇒ 6 / 15

⇒ 2 / 5

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please help with this thank you!

Answers

Answer:

3

Step-by-step explanation:

18-15=3

Answer:

first option, 3

Step-by-step explanation:

The interquartile range is the difference between Q3 and Q1.

Q1 is the lower bound of the box = 15

Q3 is the upper bound of the box = 18

 Q3 - Q1

= 18 - 15

= 3

Write in the form ( x + p ) ^2 + q x^ 2 − 10 x

Answers

Answer:

(x - 5)² - 25

Step-by-step explanation:

using the method of completing the square

x² - 10x

add/subtract ( half the coefficient of the x- term )² to x² - 10x

x² + 2(- 5)x + 25 - 25

= (x - 5)² - 25

PLEASE HELP ILL MAKE YOU THE BRAINIEST what is the area of the regular polygon

Answers

The area of a regular polygon is one-half the product of its apothem and its perimeter. Often the formula is written like this: Area=1/2(ap), where a denotes the length of an apothem, and p denotes the perimeter.

Step-by-step explanation:

#Hopeithelps

wyatt has a square garden. he adds 3 feet to one side and 1 foot to the other and now it is a rectangle with an area of 24 ft^2 what are the new dimensions of the garden

Answers

Answer:

6x4 feet

Step-by-step explanation:

6 x 4 = 24

6 - 3 = 3

4 - 1 = 3

Complete the equivalent equation for –7x – 60 = x2 + 10x.

(x +
)(x +
) = 0

Answers

By algebraic handling and factoring, we conclude that the equivalent equation for the expression - 7 · x - 60 = x² + 10 · x is (x + 5) · (x + 12) = 0.

How to determine the factor form of the given equation

In this question we have a quadratic function which must be factored by algebraic handling:

- 7 · x - 60 = x² + 10 · x

x² + 10 · x + 7 · x + 60 = 0      Compatibility with addition/Modulative property

x² + 17 · x + 60 = 0      Definition of addition

(x + 5) · (x + 12) = 0      x² + (- a - b) · x + a · b = 0/Result

By algebraic handling and factoring, we conclude that the equivalent equation for the expression - 7 · x - 60 = x² + 10 · x is (x + 5) · (x + 12) = 0.

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f(x) = x^2. What is g(x)?

Answers

the answer is XG and that is the answer to your question ❓ ok she will he hi she

Answer:  g(x) = 16x^2

Explanation:

Normally x = 1 maps to y = f(x) = 1 for the parent function f(x) = x^2

However, the red curve shows x = 1 leads to y = 16 instead. This is a jump of "times 16"

We must multiply the f(x) outputs by 16 to get the g(x) outputs.

g(x) = 16*f(x)

g(x) = 16x^2

NEED HELP ASAP, PLEASE ANSWER THIS​

Answers

Answer:

Given units of measures of volume:

mm³ = millimeters cubedcm³ = centimeters cubeddm³ = decimeters cubed ⇒ 1 dm³ = 1 literm³ = meters cubed ⇒ 1 m³ = 1000 liters

Units of measure:

mm < cm < dm < m1000 mm = 100 cm = 10 dm = 1 m

1. Water in a rectangular pool →

2. an ice cube before it melts → cm³

3. a dice → mm³

4. a blackboard eraser → cm³

5. oil in a rectangular box → dm³

To convert liters to cubic meters, divide by 1000:

⇒ 6700 L³ = 67000 L = 6700 ÷ 1000 = 6.7 m³

To convert liters to cubic centimeters, multiply by 1000:

⇒ 28 L³ = 28 L = 28 × 1000 = 28,000 cm³

The mean number of stereos sold per day at a store for 6 days was 13. Which statement must be true about the stereo sales at the store?

O The store sold 19 stereos for the 6 days
O The store sold 78 stereos for the 6 days
O The store sold 13 stereos on at least half of the 6 days
O The store sold 13 stereos on at least two of the days

Answers

Answer:

well I don't know the options, but I do know that 105 would have been sold in a week.

Step-by-step explanation:

evaluate the exppresion 14x-11y if x=4 and y=3

Answers

14(4)-11(3)=23

I believe 23 is the correct answer
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