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The ratio of the number of combinations (2n+2) of different objects taken n at a time to the number of combinations of (2n-2) of different objects taken n at a time is 99:7. Find the value of n.​

Answers

Answer 1

The expected value of n is 1.152

The question states that ratio of 2n+2 and 2n-2 = 99:7. This means that

2n+2:2n-2 = 99:7, this also means that

[tex]\frac{2n+2}{2n-2}[/tex] = [tex]\frac{99}{7}[/tex]

If that is so, we can cross multiply so that

99 * (2n - 2) = 7 * (2n + 2), on expanding the bracket, we have

198n - 198 = 14n + 14

198n - 14n = 14 + 198

184n = 212, dividing both sides by 184, we have

n = 212/184

n = 1.152

Therefore, the value of n is 1.152

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Related Questions

PLEASE HELPP!! Type an equation for the
following pattern. Make sure
the fraction is in simplest form.

Answers

Answer:

y = -3/2x + 10.5

Step-by-step explanation:

You can plug in the x values and you'll get the y values of the table. Hope this helps :)

Please help i reward brainliest
plz no silly answers

Answers

Answer:

64, -64, -64

-27, 27, 27

Step-by-step explanation:

If x = 4,

x³ = 4³ = 64

-x³ = -4³ = -64

(-x)³ = (-4)³ = -64

If x = -3,

x³ = -3³ = -27

-x³ = -(-3)³ = 27

(-x)³ = (-(-3))³ = 27

what is the sign of a • (-b/b) when a = 0 and b < 0?

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Answer:

gimmie my points boi

Step-by-step explanation:

eiurfh4iewurhfwo8rho

Solve the quadratic equation
d²-5d+6=0

Answers

Answer:

BBC

Step-by-step explanation:

Answer:

d = 6       d = -1

Step-by-step explanation:

Use displacement to factor

d²-5d+6=0

d²+d-6d-6=0

d(d+1)-6(d+1)=0

(d-6)(d+1)=0

d-6=0 or d+1=0

d = 6       d = -1

HELP PLEASE I DON´T UNDERSTAND RATIOS!

Answers

Answer:

Jake made 7 bead strings

Step-by-step explanation:

The ratio is 2:6 next would be 4:12 then 6:18 and so on. You just add what you started with to the corresponding side. 8:24, 10:30, 12:36, 14:42. The right side is 3x the left side.

Answer:

Step-by-step explanation:

You don't really need to use ratios for this question. You need to understand that for each necklace he uses 2 red and 6 whites.

Let the number of necklaces he can make = x

The total number of beads = 56

2x + 6x = 56

8x = 56                     Divide by 8

8x/8 = 56/8

x = 7

So the number of necklaces possible is 7.

If you insist on doing this with ratios then you could do it as

2/8 = x/56   What this means is that 2 reds to the total = x / 56. The 56 is the total number of beads used. The x represents the number of reds.

2/8 = x/56                         Cross multiply

2 * 56 = 8x                        Divide both sides by 8

2 * 56/8 = x

x = 14.

That means of the 56 beads used, 14 of them are red.

6/8 = y / 56                      Cross multiply

6*56 = 8y

336 = 8y                           Divide by 8

336/8 = 8y/8

y = 42

This means that 42 beads were white

 The total is 56. But here's the catch. The highest prime common to both is 7 and that's how many necklaces can be made.

2/3x=4

Group of answer choices

a. x= 8

b. x= 6

c. x = 8/3

Answers

b, x=6

i already did this and this was the answer

SOMEONE PLEASE HELP AND SHOW WORK i will give you brainliest!
Katy invests a total of $26,500 in two accounts. The first account earned a rate of return of 15% (after a year). However, the second account suffered a 8% loss in the same time period. At the end of one year, the total amount of money gained was $985.00. How much was invested into each account?

Answers

Answer:

Step-by-step explanation:

0.15x-0.08(26,500-x)=98.00

15x-212000+8x=98,500

23x+212000=98,500+212000

23x/23= 310500/23

x = 13500 (was invested in the account that gained 15% )

26500-13500=13000 (was invested in the account that lost 8%.)

What the answer?????

Answers

Okay,

So this equation is non existent. It is not an equation nor expression.

Key Info:

x - variable

0.256 - decimal

10.3 - decimal

Hope this helps.

Add more information to your answers. ( GIVE CONTEXT )

Write the prime factorization of 42. Use exponents when appropriate and order the factors from least to greatest

Answers

42: 2,3,7
2 x 3 x 7 = 42

Answer:

42 = 2*3*7

Step-by-step explanation:

42 can be rewritten as 2*21, for example.  

2 is prime.  21 = 3*7.

Then 42 = 2 * 21 is also equal to:

         42 = 2*3*7. where these factors are ordered from least to greatest.  The prime factors of 42 are {2, 3, 7}.

WILL GIVE BRAINLIEST

solve for x : -4 = (2/3)x

show steps please

Answers

Answer:  x = -6

Step-by-step explanation:

To solve for x, we have to find a way to make x the subject of the equation (get x on one side and everything else on the other side)

since    -4 = (2/3)x     [mutiply both sides by 3]

⇒    -4 × 3 = 2x     [divide both sides by 2]

⇒   (-12/2) = x      [simplify by dividing -12 by 2]

∴            x = -6

Answer:

X = 6

Step-by-step explanation:

2/3 x 6/1 = 4

2 x 6 = 12

3 x 1 = 3

12/3 = 4

12 divided by 3 is 4

The answer is 6 , x = 6

please help I dont understand ​

Answers

Step-by-step explanation:

When it says y varies directly with x it just means that y and x are proportional/equal to each other. The constant of variation and the constant of proportionality are the same thing just different way of saying it so they can confuse you and make your life miserable. Since y and x are proportional to each other and the constant of proportionalty is -5 to make an equation that represents a line you use the formula y=mx+b. That is the slope of the line. With that formula let's first plus in the x so we have y=m2+b. The formula for direct variation is y=kx as well that's good to know and it's good to memorize all these formulas. Math becaomes easier when you have the process down pat and you just need to plug numbers into different equations, expressions, and scenarios. Do m = [y1 - y2] / [x1 - x2] and you'll get the answer.

3(x+1)=2(x-3) whats the answer

Answers

The answer is -9

I dont know the step-by-step used a calculator

negative signed solution of (x+9)^2=-9
also, what changes because of "negative signed solution"

Answers

ANSWER:

18

_______________

HOPE IT HELPS YOU

CAN YOU BRAINLEST ME

ANSWER THIS ASAP PLEASE !

Answers

Simple the answer is: n=14

2n-3=25
We can move the divided by to other side of equal sign and it now because multiply by 5.
2n=28
We add 3 to both sides of equal sign
n=14
We divide 2 to both sides of equal sign to get the variable by itself
Your answer is : n=14

What is the value of {-12}
–13
–12
12
13

Answers

Answer: B. -12

Edge 21: Since the brackets are facing down, there is no need to round the -12 because it's already an integer.

if 3x - 2y = 9 , 27x³- 8y³= 1377 , prove that xy = 4



plzz answer this question... ​

Answers

Step-by-step explanation:

Here we are given that , the Value of

[tex] 3x - 2y = 9 [/tex] [tex] 27x^3 - 8y^3 = 1377 [/tex]

And we need to find the prove that ,

[tex] xy = 4 [/tex]

We know a identity as ,

[tex] (a-b)^3 = a^3-b^3-3ab(a-b) [/tex]

On cubing both sides of the given equation,

[tex] (3x-2y)^3 = 9^3 [/tex]

Simplify and then substitute ,

[tex] 27x^3-8y^3 -3(3x)(2y)(3x-2y ) = 729[/tex]

[tex] 1377 - 18xy (9) = 729 [/tex]

[tex] 162xy = 1377-729 [/tex]

[tex] xy =\dfrac{648}{162}[/tex]

[tex]xy = 4 [/tex]

Hence Proved !

i need help ASAP!! will mark brainliest. I need to find the vertex of this problem but i don’t know how to work/solve it, pls help! thanks!!

Answers

the answer is b i took the quiz

I NEED HELP FAST! WHOEVER GETS RIGHT GETS BRAINLY Explain how to evaluate the expression 4x+10 for x=5.

Answers

Evaluating expressions involve substituting the given value for x into the equation.

If x = 5:

4x + 10 = 4(5) + 10 = 20 + 10 = 30

Therefore, 4x + 10 = 30 when x = 5.

explain and show how please ! and give answer someone pls answer asap !

Answers

Answer:

Both angels are 70 and both added are 140.

Step-by-step explanation:

Because of the rules, that's names i never remember angle 1 and angle 2 are both 70° and obiously they equal 140.

HELP ME PLEASE I AM DESPERATE THIS IS ALMOST DUE!!!!!
What is the slope for this graph?

Answers

Answer: The answer is 2

Step-by-step explanation:

Please mark me as Brainiest

Answer: The answer is 2

Step-by-step explanation:

maths help me maths giving 10 point​

Answers

Step-by-step explanation:

[tex]x-2>4[/tex]

[tex]x>6[/tex]

And

[tex]3x+1\leq 28[/tex]

[tex]3x\leq 27[/tex]

[tex]x\leq 9[/tex]

So [tex]x[/tex] ∈ [tex](6, 9][/tex]

Please give me a brainliest answer

how do you solve a no solution equation

Answers

Answer:

to solve a no solution equasion, you solve it like any other question. 4 example 3 +7 = 10 so 3 + _ = 10 its the same

Step-by-step explanation:

Match the situation to the most appropriate graph #7

Answers

Graph K. This is because the cost of a gallon of milk is not increasing constantly, as in a linear rate, but it has only increased a few times in a year. Therefore, graph K shows that a gallon of milk is a steady, unchanged price, then the cost rises and stays the same, then rises again and stays the same. So, it is not a linear graph because the cost of the milk is not going up at a constant rate.

b(n)=−4−2(n−1)

find the 12th term in the sequence.

Answers

Answer:

-18

Step-by-step explanation:

b(12) = 4 - 2(12-1)

= 4 - 2(11)

= 4 - 22

= -18

6. Cafe A offers 2 free bottled waters or juices for every 20 purchased. What is the ratio of free drinks to purchased drinks? *

Answers

Answer:

1: 10

Step-by-step explanation:

2/2 =2

20/2 = 10

3|-d + 2| + 1 if d = 4

Answers

Answer:

7

Step-by-step explanation:

reminder that the absolute value function always gives a positive result.

3 | - d + 2 | + 1 ( substitute d = 4 )

3 | - 4 + 2 | + 1

= 3 | - 2 | + 1

= 3 × 2 + 1

= 6 + 1

= 7

$300, 5%, 2 years

explain

Answers

ANSWER:16,000

EXPLANATION:

300+5%+2YEARS=16,000

HOPE IT HELPS YOU

CAN YOU BRAINLEST ME

Answer:

16,000

Step-by-step explanation:

trust me it's right

5.5.WW3
Question Help
Find the quotient
30)593
Select the correct choice below and fill in the answer box(es) within your choice.
OA. The quotient is
OB. The quotient is
R

Answers

19.7666
Because it just makes since I think

help please, im confused​

Answers

Answer:

same sir sorry can't help you ok bye sorry

please help I dont understand​

Answers

Answer:

3rd option

Step-by-step explanation:

A direct variation is expressed in this form:

y = kx

1. y - 4x = 8

y = 4x + 8 is not a direct variation

2. y + 2 = 7x

y = 7x - 2 is not a direct variation

3. y - 3x = 0

y = 3x is a direct variation

4. y = 5x - 2

y = 5x - 2 is not direct variation

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