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Charra [1.4K]
3 years ago
15

Melissa has three different positive integers. She adds their reciprocals together and gets a sum of $1$. What is the product of

her integers? Melissa has three different positive integers. She adds their reciprocals together and gets a sum of $1$. What is the product of her integers?
Mathematics
2 answers:
ryzh [129]3 years ago
6 0

Answer:

36

Step-by-step explanation:

Let the three positive integers be x, y, and z. Then

1/x + 1/y + 1/z = 1

Assume x = 2.

Then 1/x = ½ and 1/y + 1/x = 1/2

Divide the second portion (1/y + 1/z) into three parts.

3/6 = 1/6 + (1/6 +1/6)

Combine two of the fractions.

1/2 = 1/6 + 2/6

1/2 = 1/6 + 1/3

1/2 + 1/3 + 1/6 = 1

The integers are 2, 3, and 6.

2 × 3 × 6 = 36

The product of Melissa’s integers is 36.

Whitepunk [10]3 years ago
4 0

If the three integers are a,b,c, then we have

\dfrac1a+\dfrac1b+\dfrac1c=1

We can combine the fractions on the left side:

\dfrac{bc}{abc}+\dfrac{ac}{abc}+\dfrac{ab}{abc}=\dfrac{bc+ac+ab}{abc}=1

\implies abc=bc+ac+ab

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Can you help me please ​
Mekhanik [1.2K]

Answer:

-3

1.1 ×10

Explanation: when you divide it it comes to .0011

and with significant figures you move the decimal over until it is right after the first number that is not zero. so that would change .0011 to 1.1

also with significant figures if you move the decimal to the right you exponent by the 10 will be negative and if you move it to the left it will be positive. so I. this case we are moving g to the right 3 digits so our exponent will be negative 3.

and because the answer is still really. 0011 you multiply

-3

1.1 × 10

5 0
3 years ago
12 + 5x &gt; 2 ( 8x - 6 ) - 7x<br><br>x &gt; what number?
Aloiza [94]
12 + 5x > 2(8x - 6) - 7x

12 + 5x > 16x - 12 - 7x

5x - 16x + 7x > -12 - 12

-4x > -24 / : (-4)

x < 6

3 0
3 years ago
Read 2 more answers
if you could respond with the work shown that would be amazing! i rate people very nicely!! this is due before 7 AM EST time :)
yulyashka [42]

Answer:

35ft squared

Step-by-step explanation:

First lets try solving the rectangular middle part

Width is 3 ft

Height is 5ft + 4ft = 9ft

3*9ft= 27ft. This is area of middle rectangular section

For the triangle, we subtract 3 from the rectangle from 11ft and divide by 2 because the two triangle on the edges are the same.

11-3=8

8/2=4

Triangle area formula = Base*Height / 2

4*4/2

16/2

4ft squared

and the other triangles area is also 4ft squared because they are congruent. So you add all the sections of the area up

27ft+4ft+4ft=35ft squared

35ft squared is the answer.

Hope this helps :)

4 0
3 years ago
Which statement is TRUE?
Schach [20]
I think the answer is B
7 0
3 years ago
Pls help (kinda easy)
3241004551 [841]

Answer:

f(x)=(2x+1)(2x-1).

Step-by-step explanation:

We want to convert the function into the form that let's us easily find the x-intercept, and it would be for the form (ax+b)(cx+d) because then we can find the x-intercept in the following manner:

(ax+b)(cx+d)=0

x=-b/a

x=-d/c

We factor our function f(x)=4x^2-1 and get

\boxed{f(x)=(2x+1)(2x-1)}

Now this form let's us easily find the x-intercepts:

x=-1/2

x=1/2

and so we pick the second choice: f(x)=(2x+1)(2x-1).

5 0
3 years ago
Read 2 more answers
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