All categories

3 years ago

The sum of the reciprocals of two consecutive odd integers is 24/143. find the two integers.

1 answer:

4 0

Let one integer be x, the consecutive odd integer is x+2
reciprocals are 1/x and 1/(x+2)
1/x +1/(x+2)=24/143
make the denominators the same:
(x+2)/[x(x+2)] +x/[x(x+2)]=24/143
143(2x+2)=24(x)(x+2)
286x+286=24x²+48x
24x²-238x-286=0
use the quadratic formula: x=22 this doesn't work because 22 is not an odd number.
or x=-2.1666666666 (this is not an integer)

weird.

You might be interested in

What is this can someone help

koban [17]

⏫

$\boxed{\large{\bold{\textbf{\textsf{{\color{blue}{Answer}}}}}}:)}$

see this attachment ☝

6 0

3 years ago

Janelle was trying to find the distance between (3,7) and (9,6) in the coordinate plane. She knew the formula was D=√(9 - 3)^2 +

s2008m [1.1K]

Hello :
incorrect answer because :
$\sqrt{ a^{2} + b^{2} } \neq \sqrt{ a^{2} } + \sqrt{ b^{2}} \neq a+b$
but :
$\sqrt{ (a+b)^{2} } = a+b$ ........a+b ≥ 0

5 0

3 years ago

Which inequality represents the graph?

Pie

Answer: z _> -10

Step-by-step explanation:

6 0

2 years ago

In the trapezoid below, x = [ ? ]. 2x+6 I 5x=20 4r+2

KonstantinChe [14]

Answer:

x = 12

Step-by-step explanation:

To get the value of x, we use the mid-segment theorem of trapezoid

The theorem is that the mid-segment is half the sum of the other two segments

We have this as

;

5x - 20 = 1/2(2x + 6 + 4x + 2)

2(5x-20) = 6x + 8

5x -20 = 3x + 4

5x -3x = 4 + 20

2x = 24

x = 24/2

x = 12

4 0

3 years ago

Its a multiple choice please answer.

Tatiana [17]

Answer:

Last option (1/2)^3 = .125

Step-by-step explanation:

1/2 (1.035)^5 =0.579637

(2/3)^2 = 4/9 = .4444

.2^2/.3^2 = 0.04/0.09 = .44444

(1/2)^3 = 1/8 = .125

So we can clearly see the last one as the answer

8 0

3 years ago