If (n+1)!=90×(n-1)!,find n.​

Answers

Answer 1

 

[tex]\displaystyle\bf\\(n+1)!=90\times (n-1)!\\\\(n-1)!\times n\times(n+1)=90\times (n-1)!~~~\Big|~:(n-1)!\\\\n(n+1)=90\\\\n(n+1)=9\times10\\\\n(n+1)=9(9+1)\\\\\implies~~\boxed{\bf n=9}[/tex]

 


Related Questions

Kevin gave 5/12 of his candy bar to Emily and 1/2 of his candy bar to David. How much of the candy bar does Kevin have left for himself? Your answer should be in the form of a simplified fraction. *

Answers

Answer:

[tex]Fraction\ Left = \frac{1}{12}[/tex]

Step-by-step explanation:

Given

[tex]Emily = \frac{5}{12}[/tex]

[tex]David = \frac{1}{2}[/tex]

Required

Determine the fraction left

The whole candy will be represented with 1:

So:

[tex]Emily + David + Fraction\ Left = 1[/tex]

This gives:

[tex]\frac{5}{12} + \frac{1}{2} + Fraction\ Left = 1[/tex]

Collect Like Terms

[tex]Fraction\ Left = 1 -\frac{5}{12} - \frac{1}{2}[/tex]

Take LCM

[tex]Fraction\ Left = \frac{12 - 5 - 6}{12}[/tex]

[tex]Fraction\ Left = \frac{1}{12}[/tex]

Hence, the fraction left is 1/12

A store sells a package of 25 trading cards for $5.25. What is the cost of 1 trading
card?

Answers

Answer:

$0.21

Step-by-step explanation:

You have to divide 5.25 by 25 since you are trying to figure out the unit price. Once you do this you should get 0.21.

What is 10% of 100,000

Answers

Answer:

10% of 100,000 = 10,000

Step-by-step explanation:

100,000 x 0.10 = 10,000

I hope this was helpful to you! If it was, please consider rating, pressing thanks, and giving my answer Brainliest. Have a great day! :)

Answer:

10,000

Step-by-step explanation:

10%=0.10

Of=Multiplication

0.10 x 100,000

10,000

Which fraction is in simplest form? 3/9, 5/12, 6/14, 4/22

Answers

Answer:

5/12

Step-by-step explanation:

Dividing each fraction by a divisible number results in

3/9= 1/3

6/14=3/7

4/22=2/11

Drag each figure to show if it is similar to the figure shown or why it is not similar. Math item stem image

Answers

Answer:

1,900*7 13,300

Step-by-step explanation:

1,000+900+700

Si cada kilowatt por hora (kW.H) vale $ 0.95. ¿cuál será al cabo de un mes el costo debido a un bombillo de 100 W que permanece encendido 10 horas diarias?

Answers

Answer:

Un bombillo de 100 W consume 100W por hora.

Sabemos que el bombillo esta encendido 10 horas diarias, entonces en un día consume:

10*100 W = 1000 W = 1 kW.

En un día, hay 24 horas, entonces el consumo por hora (diario) es:

C = 1kW/24h = 0.042 kW/h.

El costo por kW/h es $0.95, entonces el costo diario es:

N = $0.95*0.042 = $0.0399

Y un mes tiene, en promedio, 30 días, entonces el costo mensual de este bombillo va a ser 30 veces el coste diario:

Costo mensual = 30*$0.0399 = $1.197

Which relation represents a function?

A: {(5, -9), (3, -11), (0, -13), (5, -15)}

B: {(-4, -13), (-1, -7), (2, -1), (2,5), (6, 7)}

C:{(-8.1, 2), (-7.6, 2), (-7.1, 2), (-6.6, 2)}

D: {(-1, ), (-1, 1), (1, 2), (1, 4), (3, 8)}​

Answers

C represents a function.
A function cannot have two or more inputs with different outputs
“C” represent a function
The point of a function is that the x axis(the first number) doesn’t repeat a number meaning c is the answer

7
[tex]7 - 9x - 15 + 12x[/tex]
- 9x - 15 + 12x​

Answers

Answer:

the 6

Step-by-step explanation:

What is the answer for number 10?

Answers

Answer is a to the question

Answer:

I believe its C

Step-by-step explanation:

Zhen designs a character for a video game. He draws three sizes of the character on grid paper. Zhen use the expression 6 +s2 to find the number of grid squares in a character of any size s. Find the number of grid squares in a character of size 7. Show your work.​

Answers

Answer:

Is there a grid suare you can show that comes on th e

answer if there is just edit your answer so can edit this answer if not then i and try

Step-by-step explanation:

The number of grid squares in a character of size 7 is 55.

What is the algebraic expression?

Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.

The expression is given in the question as:

⇒ 6 + s²  ....(i)

We can use the expression 6 + s² to find the number of grid squares in a character of size s.

As per the given question, we are looking for the number of grid squares in a character of size 7.

Substitute the value of s = 7 in the expression gives us :

⇒ 6 + 7²

⇒ 6 + 49

⇒  55

Therefore, the number of grid squares in a character of size 7 is 55.

Learn more about the algebraic expression here :

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The sum of two numbers is 25 one number is 5 less than the other number

Answers

15+10
i believe this is right

I mark brainliest!

What is the domain of the square root function graphed below?
x>1
x_>1
x>3
x_>3​

Answers

Answer:

x>3

Step-by-step explanation:

domain is on the x axis, so the point is 3, 1

The order pair (0 , 0) is a solution to the inequality y < x -2

False
or
True

Answers

Answer:

false

Step-by-step explanation:

I put it into a graphing calculator

Answer:

true

Step-by-step explanation:

0 < -2

I hope that helped :)

Which ordered pair is a solution to the equation y + 7 = x?

Answers

Answer:

(7,0)

Step-by-step explanation:

Determine if the following system of equations has no solutions, infinitely many solutions or exactly one solution.
-x+5y=-7
-3x +14y=-18

Answers

-x+5y=-7 = 0
-3x+14y=-18= 0

Answer:

no solution

Step-by-step explanation:

Which of the following correctly completes the equation below?
0.63 x = 630
101
102
103
10°

Answers

Answer:

10 to the 1st power so the first one

Step-by-step explanation:

HELP ASAP PLEASE WILL MARK BRAINIEST

Answers

It has to be 45 degrees pal

Pls help me with this question

Answers

Answer:

1 2/7 is your answer. :)))

Answer:

9/7

Step-by-step explanation:

simplify √48 - √72 - √27 + 2√18​

Answers

Answer:√3

Step-by-step explanation:

The actual length of a soccer field is 300 feet. If the width of the field is 180 feet, then what should the width of the scale drawing be in inches?

Answers

Answer:

2160 inches

Step-by-step explanation:

The actual length of a soccer field is 300 feet. If the width of the field is 180 feet, then what should the width of the scale drawing be in inches?

1 foot = 12 inches

Width of the field = 180 feet

Hence:

1 foot = 12 inches

180 feet = x

x = 180 × 12 inches

x = 2160 inches

Width of the scale drawing in inches = 2160 inches

Last year, a popular song was downloaded 8.71 X 10^7 times. Write the number of
times the song was downloaded in standard form.

Answers

Answer:

Actually it would be 87,100,000 in standard form.

Step-by-step explanation:

Sheila is trying to run a certain number of miles by the end of the month. If Sheila is 20% of the way to achieving her goal and she has already run 4 miles, how many miles is she trying to run by the end of the month?

Answers

Answer:

I think its 20 miles after the whole month

Step-by-step explanation:

20%=4

40%=8

60%=12

80%=16

100%=20

Sheila is trying to run 20 miles by the end of the month

What is the percentage?

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

Given, Sheila is trying to run a certain number of miles by the end of the month and she is 20% of the way to achieving her goal which is 4 miles.

Assuming she is trying to run x miles.

So, 20% of x miles is 4 miles.

∴ (20/100)×x = 4.

0.2x = 4.

x = 4/0.2.

x = 20 miles.

learn more about percentages here :

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I need the help
On the problems with it and what is the answer

Answers

The correct answer for this problem is 833

Two pairs of jeans cost $75 before tax. If the total tax paid for the two pairs of jeans was $6, what is the percentage of tax? Please show work

Answers

Take the tax (6$) and divide it by the pretax(75$) and take that number and multiply it by 100 and you get your percentage (8%)

A pair of pants at Cool Topic originally cost $59. They are on sale for $32. The percent change, rounded to the nearest percent, in the cost of the pants is what and this is an percent increase or decrease

Answers

Answer:

Step-by-step explanation:

the answer is 46% I believe its percent increase

Answer:

46% increase

Step-by-step explanation:

A pair of pants at Cool Topic originally cost $59. They are on sale for $32. The percent change, rounded to the nearest percent, in the cost of the pants is what and this is an percent increase or decrease

how many terms are in 6m+6n

Answers

There are two terms, 6m and 6n

if sally made 75$ in 5 hours of babysitting and andrea made 64$ in 4 hours of babysitting who has the higer unit rate and by how much​

Answers

Answer:

75/5=15

64/4=16

Andrea has a higher babysitting rate by $1

Step-by-step explanation:

Answer:

Andrea

Step-by-step explanation:

Sallys Unit Rate is 15 dollars an hour

Andreas Unit Rate is 16 dollars an hour

So Andrea has a Higher Unit Rate

Thang decided to borrow ​$6000 from his local bank to help pay for a car. His loan was for 3 years at a simple interest rate of ​9
%. How much interest will Thang​ pay?

Answers

Answer:

Thang will pay $1620 interest

Step-by-step explanation:

Simple Interest

Definition: Interest calculated on the original principal only of a loan or on the balance of an account.

Unlike compound interest where the interest earned in the compounding periods is added to the new principal, simple interest only considers the principal to calculate the interest.

The interest earned is calculated as follows:

I=P.r.t

Where:

I = Interest

P = initial principal balance

r = interest rate

t = time

Thang borrowed P=$6000 from his local bank. The loan was for t=3 years at a simple interest rate of r=9% = 0.09. The interest is calculated as:

I = 6000*0.09*3

I = 1620

Thang will pay $1620 interest

Some people use a rule to see how many hours a child
should sleep at night.
Subtract the child's age in years from 30,
then divide the result by 2.
Tony is 6 years old.
According to the formula, how many hours should he sleep for?

Answers

12 hrs. 30-6 is 24/2 gives you 12

Please help scatter plot problem multiple choice .

Answers

I’m not really sure but I think if u search it up u would get it
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