The product of two positive numbers is 9. The reciprocal of one of these numbers is 4 times the reciprocal of the other number. What is the sum of the two numbers?

Answers

Answer 1

Answer:

7 and 1 / 2

Step-by-step explanation:

xy = 9

( 1 / x ) = 4 ( 1 / y )

y = 4x

x ( 4x ) = 9

4x^2 = 9

x = 3 / 2

( 3 / 2 ) y = 9

y = 6

6 + ( 3 / 2 ) = 7 and 1 / 2

Answer 2

The two numbers are 3/2 and 6.

What are reciprocal numbers?

The reciprocal of a number is this fraction flipped upside down.

Given that, The product of two positive numbers is 9. The reciprocal of one of these numbers is 4 times the reciprocal of the other number.

Let the numbers be a and b.

ab = 9.......(i)

1/a = 4/b

a = 4b..........(ii)

Using (i) in (ii)

4b×b = 9

b² = 9/4

b = 3/2

a×3/2 = 9

a = 6

Hence, The two numbers are 3/2 and 6.

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Related Questions

Find the solution to the system of equations:

7x-8y=-23

7x-7y=-14

Answers

Answer:

Solutions: x = 7, y = 9;  or (7, 9)

Step-by-step explanation:

Given the following systems of linear equations:

7x - 8y = -23

7x - 7y = -14

Since the coefficients of x in the given system have the same sign, we could use the process of elimination by subtracting the two equations.

    7x - 8y = -23

-   7x - 7y = -14    

             -y = -9  

Divide both sides by -1 to solve for y:

[tex]\frac{-y}{-1} = \frac{-9}{-1}[/tex]

y = 9

Substitute the value of y into either one of the given equations to solve for x:

7x - 7y = -14

7x - 7(9) = -14

7x - 63 = -14

Add 63 to both sides:

7x - 63 + 63 = -14 + 63

7x = 49

Divide both sides by 7 to solve for x:

[tex]\frac{7x}{7} = \frac{49}{7}[/tex]

x = 7

Double-check whether x = 7 and y = 9 are valid solutions to the given system:

x = 7, y = 9:

7x - 8y = -23

7(7) - 8(9) = -23

49 - 72 = -23

-23 = -23 (True statement).

7x - 7y = -14

7(7) - 7(9) = -14

49 - 63 = -14

-14 = -14 (True statement).

Therefore, the solution to the given systems of linear equations are x = 7, and y = 9, or (7, 9).

Find surface area I need help

Answers

Step-by-step explanation:

π x r^2 + π x r^2 + 2 x π x r x h

4π + 4π + 16π = 24π

how many solutions does  3x+9=25x+14 have?

Answers

Answer:

one solution

Step-by-step explanation:

3x + 9 = 25x + 14

-3x         -3x

9 = 22x + 14

-14         - 14

-5 = 22x

Five more than seven time a number is ninerty-six.what is the number?

Answers

Answer:

5x + 6 ≥ 21

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

2(1×10^2) CAN ANYONE PLEASE PUT THIS IN SCIENTIFIC NOTATION!?

Answers

Answer: 2 x 10^2 in scientific notation The answer would be 200

Step-by-step explanation: Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

She ran 415 miles on Monday.
She ran a different distance on Tuesday.
She ran a total of 712 miles on both days

Answers

Answer:

she ran 297 miles on tuesday

Step-by-step explanation:

Answer:

Distance ran on Tuesday: 297 miles

Step-by-step explanation:

total distance ran = distance ran on Monday + distance ran on Tuesday

⇒ 712 = 415 + x

⇒ 712 - 415 = x

⇒ 297 = x

please i need help i will give 60 point
and show work

Answers

Is it just me or can anyone else not see the picture?

Answer:

1) 1 1/4

2) 1 3/5

3) 1

4) 2 7/8

5) 1 1/8

6) 1/3

7) C

8) B

9) C

10) A

11) B

12) B

Step-by-step explanation:

Hope this helps fr

This is what I need the answer for please help much appreciated if done so

Answers

Answer:

12a^9b^7

Step-by-step explanation:

Answer

12a^9b^7

Step-by-step explanation:

4x3=12

add the indices

3+6=9

2+5=7

12a^9b^7

The data for the distance d, in miles, remaining for a train to travel to its destination t hours after it departs a station are
shown in the scatter plot. Which of the following functions best fits the data?

Answers

Using the slope - intercept format, the equation which models the data represented by the graph is d(t) = -50t + 300

According to the general form of a linear regression equation :

y = bx + c b = slope ; c = intercept

Slope, b = (Δy ÷ Δx)

Slope = (200 - 50) ÷ (2 - 5)

Slope = 150 ÷ -3 = -50

Intercept is the point where the regression line crosses the y - axis.

From the graph, the intercept = 300

Hence, the regression equation is y = -50t + 300

Learn more : https://brainly.com/question/19017188

convert 40 yards to feet

Answers

Answer:

120 feet

.................................

Step-by-step explanation:

1 yard = 3 feet

On the planet Tott, there are 7 rews to every 6 hopts. If farmer Boondin has 40 hopts on her frenk farm, how many rews are on the farm?



HELP ME PLEASE!!! ITS DUE TONIGHT​

Answers

Answer: They know approximately how many hours they will need to seed and harvest and can plan

Step-by-step explanation:

I mode
Simplify the expression.
2(8 + 24) = 23 x 4
X
X
ngles.
How do you simplify this?

Answers

Answer:

okay so IM not 100 percent sure but I think its 64 = 92

please help..
Evaluate
10 % of 9900

Answers

Answer:

990

Step-by-step explanation:

9900 * 10/100

= 990

Hello there!

First, divide by 100:

99

Now, multiply by 10:

990 is the answer.

Hope it helps!

~Just a determined gal

#CarryOnLearning

[tex]MysteriousNature[/tex]

The work of a student to solve the equation 4(2x − 4) = 8 + 2x + 8 is shown below:

Step 1: 4(2x − 4) = 8 + 2x + 8
Step 2: 6x − 8 = 16 + 2x
Step 3: 6x − 2x = 16 + 8
Step 4: 4x = 24
Step 5: x = 6

In which step did the student first make an error and what is the correct step?

A). Step 2; 8x − 4 = 2(6 + x + 6)

B). Step 2; 8x − 16 = 16 + 2x

C). Step 3; 6x − 2x = 16 − 8

D). Step 3; 6x + 2x = 16 + 8

Answers

Answer:

B

Step-by-step explanation:

He added 4 to 2 instead of multiplying.

What is the solution to the system of equations below?

x + 3 y = 15 and 4 x + 2 y = 30
(6, 3)
(3, 6)
(7, –6)
(–6, 7)

Answers

Answer:

Step-by-step explanation:

For x+3y=15

Take (6,3) and substitute the points:

6+3(3)=15

6+9=15

15=15

For 4 x + 2 y = 30 and substitute the points:

4(6)+2(3)=30

24+6=30

30=30

So, (6,3) is the solution of the given system of equations.

If you need to ask any questions, let me know.

Solve the giving equation 2x-4=24 what’s the first step.

Answers

Answer:

Solution,

or, 2x-4=24

or, 2x=24+4

or, 2x=28

or, 2×x=28

or, x=28÷2

or, x=14 (answer)

The solution of the equation is x = 14.

What is an equation?

An equation is two algebraic expressions that have the same value and have the equal sign in between them.

We have the equation:

2x-4=24

Adding 4 to the both of side,

2x=24+4

2x=28

Divide by 2 on both side,

x=28÷2

x=14

Therefore, x = 14 is the solution of the equation.

To learn more about the equation;

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how many trees will be planted when 5 are cut down

Answers

about 6 because that’s what i think

learnt this topic a while ago and somehow completely forgot could someone explain?

Answers

Answer:

99.5

Step-by-step explanation:

in right angle triangle

sin x = opposite side / hypotenuse

sin 34 = x  / 178

x  = sin 34 * 178

= 99.5

. The marching band packed 3060 сans of juice into boxes for a
band competition. Each box holds 18 cans. How many boxes did
the band members have to carry?

Answers

Answer: 170 boxes

Step-by-step explanation:

You simply divide 3060 by 18.        

Please help. I just don’t feel like doing it rn

Answers

Answer:

   mm

Step-by-step explanation:

How to reduce decimals to fractions.

Answers

Decimals can be written in fraction form. To convert a decimal to a fraction, place the decimal number over its place value. For example, in 0.6, the six is in the tenths place, so we place 6 over 10 to create the equivalent fraction, 6/10. If needed, simplify the fraction.

Solve (x-1)(x+5)=0 using zero product property

Answers

the answer is 1 im pretty sure

complete the statement ANGLES (I WILL GIVE BRAINLIEST! PLS HELP!)

refer to attachment for question

Answers

Answer:

ΔDEF

Step-by-step explanation:

Pay attention to order of vertices when comparing the congruent parts or figures.

ΔCBA ≅ ΔDEF

C and D as well as B and E are corresponding vertices according to angle marks and side marks.

In ∆ABC and ∆DEF

AB=EFBC=EDAC=FD

So

[tex]\\ \sf\longmapsto ∆ABC\cong ∆DEF[/tex]

By SSS congruence

Find the values of x and y.

Answers

Answer:

x= 38

y= 71

Step-by-step explanation:

The triangle shown in the figure is an isosceles triangle, a triangle having two sides equal.

The two sides marked with a "dash" are said to be equal.

STEP I:

If we label off the triangle as ABC with AD being the extended length (containing 108°).

We'll get,

AB = AC

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

STEP II:

*Property*

"If two sides of a triangle are equal their corresponding base angles are equal too."

=> ∠BAC = ∠BCA . . . . (¡)

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

STEP III:

From the figure, ∠BCA is equal to y.

*Property*

"Two angles on a straight line sum up to 180°"

∠BAC can be found out by subtracting 109° from the straight angle (180°).

=> ∠BAC = 180 - 109

=> ∠BAC = 71°

Substituting these values in eqn. (¡):

71 = y

Hence, the value of y is 71°

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

STEP IV:

*Property*

"The exterior angle(angle on the extended side) of a triangle is equal to the sum of it's interior opposite angles."

Here,

Interior angles = x and y (= 71)Exterior Angle = 109°

=> 109 = x + 71

=> 109 - 71 = x

=> x = 38°

Hence, the value of x is 38°.

divide 100,000 by 10 scores​

Answers

10)100000(10000

10

___

××0000

Answer:

5000

Step-by-step explanation:

1 score = 20

10 scores

= 10 x 20

= 200

100,000 / 10 scores

= 100,000 / 200

= 5000

The functions
=
shown in the graph.
f(2)= - x + 2 and
g(x) = (1)* + 1 are
- x + 2 = (*)* + 1
Ex+2
;
-3 -2 -1
1 2 3
What are the solutions to
3
=
-1
-2
Select each correct answer.
0-1
ОО
1
02
3

Answers

Answer:

0 and 1

Step-by-step explanation:

f(x) = g(x) at the point the touch each other.

Here they touch each other when x = 0 (touching the y axis) and x = 1

How to solve absolute value inequalities.

Answers

Answer:

I cant even see anything can you reupload your answer, please?

Step-by-step explanation:

the blank will be nagitve

Answers

Answer:

What would happen if someone doesn't put a negative comment in the blank?

Step-by-step explanation:

Answer:

numerical value??

Step-by-step explanation:

Which expression is an equivalent expression for 2(6y – 4)?
A. 8x – 2
B. 12y – 8
C. 8y
D. 12y + 4

Answers

Answer:

B.

Step-by-step explanation:

Because you have to multiply 6y by 2 that is 12y and you have to multiply -4 by 2 that is - 8, you put it together and it's 12y - 8.

B, using distribution you would multiply 2 by 6y and get 12y, then 2 by -4 and get -8

What is the missing value?
X
1
2
3
4.
5
у
6
11
16
21

Answers

Answer:

25555555557777385381938$88388+2

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