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serious [3.7K]
3 years ago
14

Decide!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Mathematics
2 answers:
MatroZZZ [7]3 years ago
5 0

a + 1/b = 5

b + 1/c = 12

c + 1/a = 13

manipulating the first line by subtracting 1/b on both sides

a = 5 - 1/b

manipulating the 3rd line by subtracting 1/a on both sides.

c = 13 - 1/a

plugging a into this

c = 13 -1/(5 -1b)

c = 13 -5 +1/b

c= 8 + 1/b

plugging c into the 2nd line

b + 1/(8 +1/b) = 12

b + 1/8 + b = 12

2b + 1/8 = 12

devide both sides by two

b + 1/16 = 6

b = 11 + 15/16

plugging the value for b into the first line to get a

a + 1/(11 + 15/16) = 5

a + 1/11 + 16/15 = 5

a + 15/165 + 176/165 = 5

a + 191/165 = 5

a = 5 + 191/165

a = 1016/165

plugging b into the 2nd line to get c

11 + 15/16 + 1/c = 12

1/c = 1/16

multiply by c on both sides

1 = 1/16c

multiply by 16 on both sides

16 = c

Vladimir79 [104]3 years ago
3 0

Answer:

Take the first two expressions (you can actually take any two expressions): $\frac{a+b-c}{c}=\frac{a-b+c}{b}$.

$\frac{a+b}{c}=\frac{a+c}{b}$

$ab+b^2=ac+c^2$

$a(b-c)+b^2-c^2=0$

$(a+b+c)(b-c)=0$

$\Rightarrow a+b+c=0$ OR $b=c$

The first solution gives us $x=\frac{(-c)(-a)(-b)}{abc}=-1$.

The second solution gives us $a=b=c$, and $x=\frac{8a^3}{a^3}=8$, which is not negative, so this solution doesn't work.

Therefore, $x=-1\Rightarrow\boxed{A}$.

Step-by-step explanation:

You might be interested in
Place the indicated product in the proper location on the grid.<br><br> (5c +2/3 )(5c -2/3 )
asambeis [7]
<span><u>Answer</u>
25c^2-4/9



<u>Explanation</u>
In this question you are expected to expand (5c+2/3)(5c-2/3)
(5c+2/3)(5c-2/3)=(5c×5c)-(5c×2/3)+(5c×2/3)-(2/3×2/3)
=25c^2-10c/3+10c/3-4/9
25c^2-4/9
The expanded form of (5c+2/3)(5c-2/3) is 25c^2-4/9 and this is what the question requires of you to do.</span>
3 0
3 years ago
Read 2 more answers
One evening, it snowed in several towns. The number of inches of snow the towns received are shown in the list below.
Rama09 [41]

Answer:

3/4,3/4,3/4,3/4,1,1,2,11/2,11/2,11/4,11/4

Step-by-step explanation:

we just arrange the number from the smallest to bigger

8 0
3 years ago
Will the sum of 2x3 + x2 - 4 and -5x² - 6x? be a polynomial?<br> yes<br> no
Eva8 [605]

Answer:

Yes

Step-by-step explanation:

Since we are adding two polynomials

The sum will also be polynomial

4 0
3 years ago
3q+4+9=-14 <br> what is Q
BlackZzzverrR [31]

Hi! Your answer is q = -9

Please see an explanation for a better and clear understanding to your problem.

Any questions about my answer and explanation can be asked through comments! :)

Step-by-step explanation:

Since we want to solve for q-term. That means we are going to isolate q-term.

\huge{3q+4+9=-14}

We can add 4 and 9 together.

\huge{3q+13=-14}

Because we want to know the value of q. That means we have to isolate q-term by subtracting both sides by 13.

\huge{3q+13-13=-14-13}\\\huge{3q=-27}

We are reaching to the final step where we divide the whole equation by 3.

\huge{\frac{3q}{3}=-\frac{27}{3}}\\\huge{q=-9}

Finally, the solution for this equation is q = -9. But what if you are not certain or sure about the answer? Let's check it out!

To check the answer, simply substitute q = -9 in the equation.

\huge{3q+4+9=-14}\\\huge{3(-9)+13=-14}\\\huge{-27+13=-14}\\\huge{-14=-14}

Notice that the equation is true for q = -9. Hence, we can conclude that the solution for this equation is q = -9.

Hope this helps!

5 0
3 years ago
A survey of 280 homeless persons showed that 63 were veterans. Construct a 90% confidence interval for the proportion of homeles
MA_775_DIABLO [31]

Answer:

[0.184, 0.266]

Step-by-step explanation:

Given:

Number of survey n =280

Number of veterans = 63

Confidence interval = 90%

Computation:

Probability of veterans = 63/280

Probability of veterans =0.225

a=0.1

Z(0.05) = 1.645 (from distribution table)

Confidence interval = 90%

So,

p ± Z*√[p(1-p)/n]

0.225 ± 1.645√(0.225(1-0.225)/280)

[0.184, 0.266]

4 0
3 years ago
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