Mathematics College

How many even k-digit numbers can be constructed out of the digits 3, 4, 5, 6, and 7?

a. Assume first that you may use the same digit again.
b. Assume that you cannot use a digit more than once.

Answers

Answer 1

Answer:

A. 1562 numbers , B. 130 numbers

Step-by-step explanation:

A) Using same digit again

1 digit nos = 2 ( ie 4 , 6 )

2 digit nos = 5  (ie any no) x 2 ( ie 4 ,6 )

Similarly

3 digit nos = 5 x 5 x 2

4 digit nos = 5 x 5 x 5 x 2

5 digit nos = 5 x 5 x 5 x 5 x 2

Adding all 5 equations

Total = 2 + 10 + 50 + 250 + 1250  = 1562

B) Cant use a digit more than once

1 digit nos = 2 ( ie 4 , 6 )

2 digit nos = 4 ( ie any no other than 4 or 6) x 2  ( ie 4 , 6 )

Similarly

3 digit nos = 4 x 3 x 2

4 digit nos = 4 x 3 x 2 x 2

5 digit nos = 4 x 3 x 2 x 1 x 2

Adding all five equations

Total = 2 + 8 + 24 + 48 + 48 = 130

Related Questions

How much will he be paid in the first 2 years?

Answers

Answer:

this is the Formel 4000:100×4=160

Please help I will love you forever!!! This test is timed thank you in advanced <3

Answers

Answer: For my opinion, I think it's either A or B.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

$500 + $100x > 1200

x represents the months

Need help ASAP!!!! Find. Missing length

Answers

Answer:

7

Step-by-step explanation:

[tex]\frac{10}{5} = \frac{14}{x}\\10x=70\\x=7[/tex]

f(x)=7x+6÷x²-x
help pls :)

Answers

answer:

y=(x+7/2)^2-73/4

The phone company B-Mobile has a monthly cellular plan where a customer pays a flat fee for unlimited voice calls and then a certain amount per GB of data used. If a customer uses 8 GB, the monthly cost will be $48. If the customer uses 38 GB, the monthly cost will be $108. A) Find an equation in the form y = m x + b , where x is the number of GB of data used in a month and y is the total monthly cost of the B-Mobile plan.

y = __________

B) Use your equation to find the total monthly cost if 18 GB are used.

Answer: If 18 GB are used, the total cost will be _______ dollars

Answers

Step-by-step explanation:

That's the rifgt answer for sure!!

Plz Mark brainliest...

Please help me! I’ve been trying to find this for an hour );

Answers

Answer:

I got (4x+3)(3x+1)

Hope I help Please mark me BrainIIest please and thank you :)

Step-by-step explanation:

5. Mrs. Hoskins is going to plant her new
gorden. She purchases 4 tomato plants for
$2.59 each, a package of watermelon seeds
for $1.87, and adapeno plant for $3.88. How
much will Mrs. Hoskins spend on seeds and
plants for her new garden?

Answers

She would spend $16.11 dollars on her new garden.


The solution is $ 16.11

The total amount of money spend by Mrs.Hopkins on seeds and plants is given by the equation A = $ 16.11

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the cost of each tomato plant be = $ 2.59

The number of tomato plant = 4

The cost of 4 tomato plant = 4 x 2.59

The cost of 4 tomato plant = $ 10.36

Now ,

The cost of watermelon seeds = $ 1.87

The cost of adapeno plant = $ 3.88

So , the equation will be

The total amount of money A = cost of 4 tomato plant + cost of watermelon seeds + cost of adapeno plant

Substituting the values in the equation , we get

The total amount of money A = 10.36 + 1.87 + 3.88

The total amount of money A = $ 16.11

Therefore , the value of A is $ 16.11

Hence , the total amount of money is $ 16.11

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please write $703.00 in words

Answers

Answer:

seven hundred and three dollars

Step-by-step explanation:

Answer:

seven hundred three

Step-by-step explanation:

just read it in hundreads

Convert 0.1 lb/day to oz/week

Answers

1 pound = 16 ounces

1 week = 7 days

0.1 x 7 = 0.7 pounds per week

0.7 x 16 = 11.2 ounces

0.1 lb/ day converts to 11.2 ounces / week

Multiply: 1
3
× 2
5
To find the product,
the numerators and the denominators.
The product is .
Divide: 2
5
÷ 3
5
To divide, multiply by the .
The quotient is .

Answers

Answer:

HOPE THIS HELPS!!!

Step-by-step explanation:

To find the product,

✔ multiply

the numerators and

✔ multiply

the denominators.

The product is

✔ 2/15

Divide:  2

5

 ÷  3

5

To divide, multiply by the

✔ reciprocal

.

The quotient is

✔ 2/3

.

Answer:

Izzdebizz was right i am at teacher

Step-by-step explanation:

find the slope of the line on the graph. write your answer as a fraction or a whole number, not a mixed number or decimal.​

Answers

the slope of the line on the graph is 1
Answer: 1
Step by step

I NEED HELP ASAP PLS ANSWER

Answers

I gotchu!! It’s 40:))

solve
[tex]2x + 5 = 12[/tex]


​

Answers

Answer:

x=3.5

Step-by-step explanation:

subract 5 on the other side, than divide by 2

What is the value of x?
8x + 2

Answers

Answer:

x = 6

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Geometry

All angles in a triangle add up to 180°

Step-by-step explanation:

Step 1: Set up equation

(8x + 2) + 70 + 60 = 180

Step 2: Solve for x

Combine like terms:                    8x + 132 = 180Isolate x term:                              8x = 48Isolate x:                                       x = 6

what is 75 Times 37 equal

Answers

Answer:

2775

Step-by-step explanation:

Hope this helped :)

Evaluate this expression
(5+5)x(5+5)/5

Answers

Add (5+5) which gives you 10
Then add the other (5+5) that gets you 10
Multiply those two which gives you 100.
Then divide by 5 which leaves with 20.

The answer is 20.

If the x is a variable then the answer is (20x)

This is following the steps of PEMDAS

its 5=54                                            that is what i thsiknss

Plzzzzzzzzzzzzzzzzzzzzzzzz help

Answers

Answer:

Step-by-step explanation:

For number 1 the rate of change is 12 per 1  and for number 2 b is linear.

88.47 feet converted into the nearest sixteenth of an inches is

Answers

Answer:

1,061.64

Step-by-step explanation:

Im sorry if this is wrong

Options
- positive
- negative
- 0
-undefined

Answers

The slope of the line is 0 since in the graph, the y intercept stays at a certain point throughout

A shop owner can buy two televisions and three DVD players for $1750 or four televisions and one DVD players for $1250. Find the cost of one of each

Answers

Answer:

Television = $200 and DVD player = $450

Step-by-step explanation:

→ Make 2 equations

Televisions = t and DVD players = d

2t + 3d = 1750

4t + d = 1250

→ Multiply the bottom equation by 3 to make the same variable of d

2t + 3d = 1750

12t + 3d = 3750

→ Minus the two equations to isolate the d variable

-10t = -2000

→ Divide both sides by -10 to find the cost of one television

t = 200

→ Substitute t = 200 back into 4t + d = 1250

800 + d = 1250

→ Minus 800 from both sides to isolate d

d = 450

Make a conjecture. How are rigid transformations and congruent figures related? Check all that apply.

Rigid transformations preserve segment lengths and angle measures.
Rigid transformations produce congruent figures.
If two figures are congruent, then there is a rigid transformation or a combination of rigid transformations that will map one onto the other.

Answers

Answer:

Rigid transformations preserve segment lengths and angle measures.

Rigid transformations produce congruent figures.

If two figures are congruent, then there is a rigid transformation or a combination of rigid transformations that will map one onto the other.

Step-by-step explanation:

A rigid transformation or an isometry is a transformation that does not change the sides and angle of plane figures.Reflection in the plane, translations and rotation or a combination of them produce images that are congruent to the preimage.This implies that, two figures are congruent if and only if a  rigid transformation or a combination of one or more rigid transformations will map one plane figure onto another.Therefore all the given options are true.

All of the answers are correct, meaning that A,B, and all true.

Ed made 8 key chains each week for 4 weeks. How many keychains did Ed make? Solve this problem any way you choose.

Answers

Answer:

32

Step-by-step explanation:

8 times 4 = 32

Answer: the answer is 32

Step-by-step explanation:

He made 8 key chains each week for 4 weeks 8*4 is 32 because if you make 8 key chains for 4 weeks it will add up to 32 hope this helps

can u pls help me with this question ​

Answers

Answer:

b

Step-by-step explanation:

The answer should be b

The ratio of caretakers to childeren is _:_. If 24 more children are added, they should hire _ more caretakers to maintain the ratio of caretakers to children.

Answers

Answer:

The first is 1:6 and the second one is 4

Step-by-step explanation:

Given PHS=CNF find the value of x, y and Z

Answers

Answer/Step-by-step explanation:

Since ∆PHS ≅ ∆CNF, therefore:

<P ≅ <C,

<H ≅ <N

<S ≅ <F

Thus:

Since, <P ≅ <C, therefore,

36° = (4z - 32)°

36 = 4z - 32

Add 32 to both sides

36 + 32 = 4z

68 = 4z

Divide both sides by 4

68/4 = z

17 = z

z = 17

Since <H ≅ <N, therefore:

6x - 29 = 115°

Add 29 to both sides

6x = 115 + 29

6x = 144

Divide both sides by 6

x = 114/6

x = 24

m<F + m<C + m<N = 180° (sum of ∆)

(3y - 1) + (4z - 32) + 115 = 180 (substitution)

Plug in the value of z and solve for y

3y - 1 + 4(17) - 32 + 115 = 180

3y - 1 + 68 - 32 + 115 = 180

3y + 150 = 180

Subtract 150 from both sides

3y = 180 - 150

3y = 30

y = 10

The value of x, y and z are 24, 10 and 17 respectively.

PHS≅CNF

Therefore,

∠P ≅ ∠C

∠H ≅ ∠N

∠S ≅ ∠F

36 = 4z - 32

36 + 32 = 4z

4z = 68

z = 68 / 4

z = 17

6x - 29 = 115

6x = 115 + 29

x = 144 / 6

x = 24

3y - 1 = 180 - 115 - (4z - 32)

3y - 1 = 180 - 115 - 4z + 32

3y - 1 = 97 - 4(17)

3y - 1 = 29

3y = 30

y = 30 / 3

y = 10

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The APR on my credit card is 16.8%. What is the monthly interest rate?

Answers

To find the monthly interest rate, simply divide the APR by 12. I think the monthly interest rate is 1.4%

2(x+4)+(x+1)=6(2x) solve for x

Answers

Step-by-step explanation:

[tex]{:}\longrightarrow[/tex][tex]\sf 2 (x+4)+(x+1)=6 (2x)[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 2x+8+(x+1)=12x [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 2x+8+x+1=12x [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 2x+x+8+1=12x [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 3x+9=12x [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 12x=3x+9 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 12x-3x=9 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 9x=9 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf x={\dfrac {9}{9}}[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf x=1 [/tex]

What is 5/8 + 1/2 equal

Answers

Answer:

9/8

Step-by-step explanation:

1/2 = 4/8

5/8 + 4/8 = 9/8

PLZ HELP MEEEEE THIS IS DUE SOON AND IDK HOW TO DO IT

Answers

Answer:

what? there is nothing here... did you mean to attach a picture?

Step-by-step explanation:

No Attachmentttttttttt

Shirley starts with $85 in the bank and saves $15 every 2 months. Joshua starts with
$212.50 and spends $20 every 3 months.

Answers

Answer:

Shirley would have $115 and Joshua ends up with 152.5

Step-by-step explanation:

85+15+15=115

212.50-20-20-20-152.5

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