The sum of two numbers is 50. The sum of their reciprocals is 1/ 12. Determine the 2
numbers.

Answers

Answer 1

numbers are 20 and 30 or 30 and 20.

What is equation?

A statement that represents the equality between two mathematical expressions. An equation can have one variable or two variables.

What is the number as per statement?

sum of two numbers = 50

sum of their reciprocal = 1/12

what is the 2 numbers.

let, one number is X and the other number is Y

as per the given condition, sum of X and Y is 50

X + Y =50 ...... equation 1

again, sum of the reciprocal of X and Y = 1/12

1/ X + 1/ Y = 1/12 ..... equation 2

 (X + Y)/ XY = 1 /12

(X + Y)12 = XY...  equation 3

from equation 1, we can write, Y = 50 - X

putting this value of Y in the equation 3

12X + 12(50 - X) = X(50 -X)

12X + 600 - 12X = 50X - X²

X² - 50X+600= 0

from the formula for quadratic equation, X = [50 ±√ (50² - 4×600)] / 2×1

                                                         X = (50±10) / 2

                                    X = 30, 20

          Y = 50 -30 = 20

      Y = 50- 20 = 30

hence, the 2 numbers are 20 and 30.

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Related Questions

If country A has 161,500 million more computers than country B and the total number of computers for both countries is 321,050 million, find the number of commuters for each country.
Country A has _ million computers and country B has _ million computers.

Answers

Answer:

b has 79,775 million

a has 241,275 million

Step-by-step explanation:

a has more than b

b+161,500 is a

b=b

b+b+161,500=321,050

2b=321,050-161,500

2b=159,550

b=159,550/2

b=79,775

a=b+161,500

a=79,775+161,500

a=241,275

PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.

Answers

Answer:

Step-by-step explanation:

y=x+69

Answer:

y=x+69

Step-by-step explanation:

5+69=74

6+69+75

etc.

There were 382 chairs in the music hall.Write a number greater than 382.

Answers

Answer:

383

Step-by-step explanation:

Round 30.425 to the nearest tenth.

Answers

Answer:

30.4

Step-by-step explanation:

30.425 rounded to the nearest tenth will be 30.4

When rounding to the nearest tenth, we have to see if the hundredths place and thousands place are 0.050 or greater.

If they are, then the tenths place will round up.

In this case, it is only 0.025, so we will keep the tenths place of 30.4

So, the answer is 30.4

eight percent multiped by fifty

Answers

Answer:

4

Step-by-step explanation:

Turn the percentage into a decimal and multiply.

8% -> 0.08

0.08 * 50 = 4

Best of Luck!

Answer:

4

Step-by-step explanation:

8% times 50 is the same as 8% of fifty

un terreno de forma triangular tiene 250 pies de base por 180 pies de altura Cuál es la magnitud de su área en metro​

Answers

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Areas..

Bienvenidos al concepto de áreas.

Área de un triángulo = 1/2 * base * altura,

aquí, base = 250, altura = 180, así que obtenemos como

Área = 1/2 * 250 * 180

Área = 250 * 90

Área = 22,500 mtrs.

The magnitude of the area of the triangular piece of land is approximately 2,094.2 square meters.

What is a triangle?

A triangle is a 2-D figure with three sides and three angles.

The sum of the angles is 180 degrees.

We can have an obtuse triangle, an acute triangle, or a right triangle.

We have,

First, let's calculate the area of the triangular piece of land in square feet:

Area = (1/2) x base x height

Area = (1/2) x 250 ft x 180 ft

Area = 22,500 sq. ft

To convert this to square meters, we can use the conversion factor of 1 sq. ft = 0.092903 sq. m:

Area = 22,500 sq. ft x 0.092903 sq. m/sq. ft

Area ≈ 2,094.2 sq. m

Rounding to the nearest tenth of a square meter, we get:

Area ≈ 2,094.2 sq. m

Therefore,

The magnitude of the area of the triangular piece of land is approximately 2,094.2 square meters.

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The complete question:

A triangular piece of land has a base of 250 feet by a height of 180 feet What is the magnitude of its area in meters​

$1 US is equivalent to about 6.56 Chinese yuan. A two-bedroom presidential suite on the top floor of a high-end hotel in Shanghai, China was listed at 25,000 yuan per night. What is the cost of this suite per night in US dollars?

Answers

Answer: About 3,811 US dollars.

Step-by-step explanation:

Divide 25,000 with 6.56. That equals about 3,811 US dollars.

hope this helps :)

2. The rates of currency exchange published in the newspaper on a certain day showed that 12 pounds co
be exchanged for 96 dollars. How many dollars could be obtained for 102 pounds?
[2.5
CURRENCY URANG​

Answers

Answer:

Step-by-step explanation:

Your answer

816 dollars

Mark it as Brainlist answer. Follow me.

need help on this question plz answer

Answers

Answer:

x≥31

Step-by-step explanation:

3x≥120-27

3x≥ 93

x ≥ 93/3

x≥31

Answer is x≥31

Answer:

x > 31

Step-by-step explanation:

3x > 93

x > 93/3

x > 31

what would be the amount of the bill if the phone is not used during the month?

Answers

Answer:

im pretty sure its 25

Step-by-step explanation:

Answer:

25.00

Step-by-step explanation:

I got it correct.

Fill in the blanks in the double number-line below.

Answers

Answer:

1     2     3     4     5     6     7

8    16   24  32   40   48   56

Step-by-step explanation:

Hope this helps :)

24 28 52 hope it helps:)

Ayuden con la ecuación
[tex] \times + 15 = 51[/tex]

Answers

X=36 that’s what it gave to me
The answer is:


X= 36

Help me on question 5!!! Plsss

Answers

Answer:

The answer is C

Step-by-step explanation:

use an open circle for "less than" or "greater than"and a closed circle for "less than or equal to" or "greater than or equal to".

A savings account earns 4% annual simple interest. The principal is $1,100. What is the balance after 5 years?

Answers

Answer:

$220

Step-by-step explanation:

4% of 1100=$44

$44 × 5 years=$220

a church choir in mogase has 77 members and they need minibuses and minibuses only carry 18 members how many minibuses are needed ?​

Answers

Answer:

5

Step-by-step explanation:

Answer:

5 buses

Step-by-step explanation:

77 divided by 18 is 4.2 so the people need 5 buses to fit means 4 full buses and 1/5 of 5th bus is used

Find the value of x.

A.
10
B.
12
C.
27
D.
43.5

Answers

Answer:

C. 27

Step-by-step explanation:

well we can use the pythagorean theorem for this and disregard the 11. so we have the hypotenuse and one side so therefore a^2+b^2=c^2 and if we plug in the numbers it would look like this

16.5^2+x^2=29^2

272.25+x^2=841

x^2=568.75

and from multiple choice we can infer that the answer is obviously bigger than 16.5 because in the picture x is a longer side but it is smaller than 29 and the only answer in between those two numbers given would be C. 27

What product is less than 99

Answers

Answer:

1

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

Which of the following is equal to sin 8
A)sin 82
B)cos 8
C)cos82
D)sin98

Answers

Answer:

A

Step-by-step explanation:

sin 82 I think but i just try

Use the balanced scale to find the conversion factor that can be used to convert the number of blocks to the weight of the blocks in pounds.


Balanced scale has 3 one-pound weights on 1 side; 2 question mark weights on other side.



A. 1.5 pounds per block



B. 1.5 blocks per pound



C. 2 pounds per block



D. 3 blocks per 2 pounds

Answers

Answer:

A. 1.5 pounds per block

Step-by-step explanation:

The conversion factor shows 2 blocks on the right and three 1 pound blocks on the left. It takes two 1 pound blocks to make 2 and then you get your 3rd block, making it 3 (.5 more than 2.5) needing another block to add a .5

Answer:

Step-by-step explanation:

1.5

Cuando viajo me mareo. Siempre que me mareo, me entra un hambre atroz. Así pues, siempre que me entra un hambre atroz, viajo

Answers

Answer:

es normal en persona ya que el cuerpo reacción a la Mente en lo que están pensado ya q es mejor relajarse y imaginar otra cosa así no te marea cuando viajas

A local hamburger shop sold a combined total of 718 hamburgers and cheeseburgers on Wednesday. There were 68 more cheeseburgers sold than hamburgers.
How many hamburgers were sold on Wednesday?

Answers

Answer:

i believe its 650 hamburgers

1. 25% of 300
2. 20% of what number is 50?
3. What percent of 120 is 40?
4. If 20% of 60 is 12. Which represent the percentage?
5. Which represent the base?​

Answers

Answer:

rawrrrrrr

Step-by-step explanation:

rawrrrrrrrrrrrrrrrr

1. 75
2. 250
3. 33.33
4. 20% I think?
5. I’m not sure

Circle the fraction greater than 3/10?

1/3

3/11

4/15

Or 29/100​

Answers

Answer:

1/3 is the only fraction here that is greater than 3/10.

Step-by-step explanation:

Convert these to decimals first, which can make it easier.

1/3 as a decimal is 0.33333333333333333333333333... which is greater than 0.3, which is 3/10.

3/11 as a decimal is 0.27272727272727.... which is LESS than 0.3, which is 3/10.

4/15 as a decimal is 0.26666666666666666666666666666666, which is less than 0.3, which is 3/10.

29/100 as a decimal is 0.29, which is less than 0.3, which is 3/10.

So the answer is 1/3.

Dagny Taggart has just purchased a home and taken out a $300,000 mortgage. The mortgage has a 25 year term with monthly payments and has an APR of 6% (monthly compounding). The total amount of interest that Dagny will pay during the first month of her mortgage is closest to:

a.
1923.24

b.
1816.93

c.
1500

d.
1485

Answers

Answer:

c.

1500

Step-by-step explanation:

The computation of the total amount of interest in first month is shown below:

Interest for first month is

= Mortgage amount × interest rate ÷ total number of months in a year

= $300,000 × 6% ÷ 12  

= $1,500

Hence, the interest in the first month is $1,500

Therefore the c option is correct

What is the distance between point (-2,2) (4,4)

Answers

Answer:

6 and 2 thats the distance in between

Step-by-step explanation:

what is the variable in this expression 5x2+x+7?

Answers

Answer:

x

Step-by-step explanation:

Can someone please help me on these four problems. The photo is linked above

Answers

1. SSS
2. SAS
4.SAS
i have no idea what 3 is

Answer:

Answer:

1. SSS

2. SAS, SSA

3. SAA

4. SAS, SSA

5. ASA

6. SAS

Thats all 6

Factor Method Lcm 20,25,30​

Answers

Answer:

The least common denominator for those three numbers would be 5.

Step-by-step explanation:

5x4=20

5x5=25

5x6=30

expand 3(n+6)
This for the test

Answers

Step-by-step explanation:

expanded = 3n + 18

plz mark my answer as brainlist plzzzz if you find it useful ☺️.

Four times the sum of a number n plus 2 equals 3 times the sum of the number plus 5. What is n?

Equation:

n=

Answers

Answer:

nweoksowjxu928idvdiwd9w

4 (n + 2) = 3 (n + 5)
4n + 8 = 3n + 15
4n = 3n + 7
n = 7
Let’s check your answer...
4 (7+2) = 3 (7+5)
4x9 = 3x12
36 = 36
We have a winner!

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