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sweet-ann [11.9K]
3 years ago
12

The sum of two numbers is 9. And the sum of their reciprocals is 1/2.find the numbers

Mathematics
1 answer:
Musya8 [376]3 years ago
7 0
Set up a system of equations:

x + y = 9
1/x +1/y = 1/2

The easiest way to solve would be substitution.
x + y = 9 can be solved for y:

y = 9 - x

Then plug this into the second equation and solve for x:

1/x + 1/(9-x) = 1/2
(9-x) + x = x(9-x)/2
9 = (9x-x²)2
18 = 9x - x²
x² - 9x + 18 = 0
(x-6)(x-3) = 0
x = 6, 3

You can check your answer by plugging the two numbers back into both of the equations:

6 + 3 = 9
1/6 + 1/3 = 1/2

The two numbers are 6 and 3.
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IRINA_888 [86]
The area of a rhombus can be found by using the formula:

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Area = 24 cm^2

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Step-by-step explanation:

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How to solve shaded regions on a trapezoid is simple.
First find the area of the whole trapezoid, or W but it already gives us that as 21.66 in squared.
Next, find the area of the non shaded region, or NS.
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4 years ago
*The time (t) required to do a job varies inversely as the number of people working. *
VashaNatasha [74]

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3.8

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If it takes 6 for 5 cooks to do 1 dinner, 1 cook does 1 dinner in 6*5 = 30 hours. 8 cooks can do 1 dinner in 30/8 hours or 3.75 which rounded is 3.8

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3 years ago
Please help asap 15 points
zubka84 [21]

the second option.


(3h+18)+(15h)=180

-18 . -18

3h . + 15h=162

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