1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
DochEvi [55]
4 years ago
5

7D%20%5C%5C%20%20%5C%5C%20%20%5C%5C%20%20%5C%5C%20X%3D%3F" id="TexFormula1" title=" \frac{(15-X)!}{(13-X)!.2!}=\frac{X!}{(X-2)!.2!} \\ \\ \\ \\ X=?" alt=" \frac{(15-X)!}{(13-X)!.2!}=\frac{X!}{(X-2)!.2!} \\ \\ \\ \\ X=?" align="absmiddle" class="latex-formula">
Mathematics
2 answers:
Vinvika [58]4 years ago
8 0
\frac{(15-x)!}{(13-x)!\cdot2!}=\frac{x!}{(x-2)!\cdot2!}\\
\frac{(14-x)(15-x)}{2}=\frac{(x-1)x}{2}\\
(14-x)(15-x)=(x-1)x\\
210-14x-15x+x^2=x^2-x\\
28x=210\\
x=\frac{210}{28}=7.5

The factorial is defined for natural numbers and since 7.5 isn't one, this equation has no solutions.
bogdanovich [222]4 years ago
6 0
(15-x)!=[15-(x+2)]!\times[15-(x+1)]\times(15-x)\\\\=(15-x-2)!\times(15-x-1)\times(15-x)\\\\=(13-x)!\times(14-x)\times(15-x)\\\\=(13-x)!\times(210-14x-15x+x^2)\\\\=(13-x)!\times(x^2-29x+210)\\\\therefore:\frac{(15-x)!}{(13-x)!\cdot2!}=\frac{(13-x)!\cdot(x^2-29x+210)}{(13-x)!\cdot2!}=\frac{x^2-29x+210}{2}


x!=(x-2)!\times(x-1)\times x=(x-2)!\times(x^2-x)\\\\therefore:\frac{x!}{(x-2)!\cdot2!}=\frac{(x-2)!\cdot(x^2-x)}{(x-2)!\cdot2}=\frac{x^2-x}{2}\\\\======================================\\\\\frac{x^2-29x+210}{2}=\frac{x^2-x}{2}\ \ \ \ \ |multiply\ both\ sides\ by\ 2\\\\x^2-29x+210=x^2-x\\\\x^2-x^2-29x+x=-210\\\\-28x=-210\ \ \ \ \ |divide\ both\ sides\ by\ (-28)\\\\x=7.5\notin\mathbb{Z}

This\ equation\ has\ not\ solution\ because\ x\ must\ be\ an\ integer!\\\\x\in\O
You might be interested in
How do i solve this help me
Dmitriy789 [7]

Answer:

-24

Step-by-step explanation:

First substitute

(6x8)/-2

Then solve

48/-2=-24

-24

6 0
3 years ago
Read 2 more answers
Caitlin won a bag full of money! She has 49 bills in all. She counts $1430. There are
Anna [14]

Answer:

c

Step-by-step explanation:

4 0
3 years ago
In a certain chemical, the ratio of zinc to copper is 4 to 9. A jar of the chemical contains 396 grams of copper. How many grams
larisa86 [58]

Answer:

176 grams of zinc.

Step-by-step explanation:

4/9 = x/396 where x = the number of grams of zinc.

Cross multiply:

9x = 4*396

x = 4*396/9

x = 176 grams.

5 0
3 years ago
Please help me with this question please is so hard
den301095 [7]

Answer:

1) $101,400

2) $27,000

Step-by-step explanation:

1) For this, we can first find how much she makes in a year from her salary alone:

$2,200×12= $26400.

Now, she also received a commission of 2.5%, so we can take this percentage from 3 million to find the total from commission:

3,000,000×0.025= $75,000

Adding these two gives us a total of $101400.

2) We can use the Simple Interest Formula to solve this (I= Prt). Plug in the values given to give us:

I= 5000(1.08)(5)

I= $27000

4 0
4 years ago
How do you solve 1/3+1/4?
Otrada [13]

Answer:

Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.

(1/3×4/4)+(1/4×3/3)=?

Complete the multiplication and the equation becomes

4/12+3/12=?

The two fractions now have like denominators so you can add the numerators.

Then:

4+3

12= 7/12

This fraction cannot be reduced.

Therefore:

1/3+1/4=7/12

3 0
3 years ago
Other questions:
  • Please help ....this is due tomorrow
    8·1 answer
  • Heeeeeelp please !!!!!!!!
    7·2 answers
  • What is the least common denominator of the rational expressions below?
    8·1 answer
  • Leah is six years older than her sister Sue John is five years older than Leah the sum of their ages is 41 how old is Sue
    6·2 answers
  • Please answer it now in two minutes
    11·2 answers
  • Aaron estimated that 148% of 333 is 495
    5·2 answers
  • A soccer ball is kicked into the air from the ground. If the ball reaches a maximum height of 25ft and spends a total of 2.5 sec
    13·1 answer
  • What is 7s-8s equals cause i dont know​
    13·1 answer
  • Round 342.296269789 to 2 decimal places.
    7·1 answer
  • Write the equation in standard form.<br> y + 7 = -3 (x + 1)
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!