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.

For more references on reciprocal numbers, click;

https://brainly.com/question/15590281

#SPJ5


Related Questions

When finding a critical T value for 95% confidence and a sample size of 30, how many degrees of freedom are there?

Answers

Answer:

29

Step-by-step explanation:

The formula for calculating degrees of freedom in a t-test is n-1 where n is the sample size. Therefore, there are 30-1=29 degrees of freedom if the sample size is n=30.

A car moves at a speed of 45 km/h for 20 minutes. what is the distance traveled by the car ?

don't ya ans if u don't know
no plagiarism and spams
need a well explained ans

Answers

Speed of car

[tex]45 \frac{km}{h} [/tex]

Time : 20 min

[tex] \frac{20}{60} h[/tex]

[tex] \frac{1}{3} h[/tex]

We have , speed

[tex] = > \: \frac{distance}{time} [/tex]

:. Distance

[tex] = > \: speed \: \times \: time \\ = > \: 45 \frac{km}{h} \: \: \times \frac{1}{3} h \: \: \\ = > 15 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: [/tex]Hence , the distance covered by the car is 15 km

I have stopped going to school due to my mental break downs because of school so my teachers started sending me my work i have missed but the only thing i was not at school to learn how to do it so please help me....!!

Answers

Answer:

1. C.

2. A.

3. B.

i just know those im sorry-

Answer:

1 - c 6.4 ×10^6

2 - a 6.4 ×10

3- b 6.04 ×10^5

4) 5.21× 10^8 × 1.6km

=8.33×10^8 km

5) 10,000,000,000 = 1 ×10^10

BRAINLIST PLS

Umm is this right or wrong and if it's wrong can you tell me the right answer?

Answers

Answer:

30

Step-by-step explanation:

d=√(24²+18²)=6√(4²+3²)=6√(16+9)=6√(25)=6×5=30

How to calculate the surface area of a football.

Answers

Answer:

A football is a sphere, so the formula for calculating its surface area is 4πr²

Hope it helps:)

I’m not sure how to answer this in a Graph, Diagram, and Algebra(algebraic reasoning too) for a,b,c, and d. Can someone please help me?

Answers

The outline that that illustrate how k values change so that the solutions are the ones in the question are as follows

(a) The number line solution contains zero

Using algebra, we have;

The given quadratic inequality is; -x² + 4 ≥ x + k

The number line solution is the expression of the solution on the number line.

We have;

-x² + 4 ≥ x + k

-x²  - x + 4 - k ≥ 0

Dividing by (-1), we get;

x² + x - 4 + k ≤ 0

When - 4 + k = -2

k = 2, we get;

x² + x - 4 + 2 ≤ 0

x² + x - 2 ≤ 0

(x - 1)·(x + 2) ≤ 0

Given that the result of the product is less than zero, we have;

((-3) - 1)·((-3) + 2) > 0

Therefore, the solution are;

x ≤ 1, or x ≥ -2

Which gives

-2 ≤ x ≤ 1

Using diagram;

The solution of the above inequality includes 0 as shown in the attached number line

Graphically;    

The graph of the inequality is plotted using MS Excel, showing the solution set, of -2 ≤ x ≤ 1

(b) There are no solution to the inequality

In the present case, we have;

((-1)² - 4×(-1) × (4 - k) <  0

17 - 4·k < 0

[tex]k > \dfrac{17}{4}[/tex]

Let k = 5, we have;

-x² + 4 ≥ x + k

-x² - x + 4 - 5 ≥ 0

-x² - x  -1 ≥ 0

The discriminant, is (1² - 4×(-1)×(-1)) = -3 < 0, therefore, there are no real

roots to inequality, and -x² - x  -1 is not equal to zero.

Graphically

Please find attached the graph of the function, which does not intersect with the x-axis, and therefore, has no values at which y = 0

(c) The solution is a single number

-x² + 4 ≥ x + k

When k = x + 5, we have;

0 ≥ x² + 2·x + 1

0 ≥ (x + 1)²

Therefore;

The only solution is; x = -1

Using diagrams:

Please find attached the solution of the function on the number line

Graphically

The graph of the function showing only one intercept is attached

Learn more here:

https://brainly.com/question/11982012

Maria scar' gets 28 miles to the gallon. How many miles is her round trip to work

Answers

Yk que han dicho nada de la que ha dicho la gente no se han dado la cara

A school of salmon was swimming in the river 5 feet below the surface. To escape a hungry bear, they went down another 3 feet.
What is the position of the salmon now relative to the surface?

Answers

Answer:

8 feet

Step-by-step explanation:

5 + 3 = 8

Answer:

Step-by-step explanation: The school of salmon are now 8 feet below the surface. They start at -5 feet and then you subtract 3 more feet which gives you -8 feet. -5-3=8

f(x)=2x-6 answer please

Answers

Answer:

well that's already the slope and your i-intercept would be -6

Step-by-step explanation:

y=6x-5 convert the equation to standard form

Answers

Answer:

Add 6x to both sides.

y + 6x = -5

Reorder the left side so that the x term is first.

6x + y = -5

:)

A triangle has two side of lengths 10 and 14. What value could the length of the third side be?

Answers

If it’s a hypotenuse, the other side length is 17.2

Use the Pythagorean Theorem  [tex]a^2 + b^2 = c^2[/tex].

Since we have 2 sides we can easily solve for the third.

[tex]c^2 = 10^2 + 14 ^2[/tex]

[tex]c = \sqrt{100 + 196}[/tex][tex]= \sqrt{296}[/tex] ≈[tex]17.205[/tex]

How do I solve this?​

Answers

Answer:

x= -2

Step-by-step explanation:

y=x+4

y=2

2=x+4

-4+2=x

-2=x

x=-2

Answer:

x= -2

Step-by-step explanation:

Find the area of triangle PQR.

Answers

Answer:

70°

Step-by-step explanation:

Since  PTS shape is equal to QTR

and  PTQ shape is equal to STR

and Since QTP = 10

and Since  PTS = 60

Add both up 70

Therefore PQR = 70°

a drink in japan costs 374 yen. The exchange rate is £1 = 189 yen. What is the cost in pounds

Answers

Answer:

Roughly £2

Step-by-step explanation:

multiply the echange rate by 2 , its 378Yen

i really need help i don’t get this at ALL. :(

Answers

Step-by-step explanation:

You have to go to Y axis first then to X. For example : (4,5) go up 4 and go to x axis and when u get to 5 you put a dot. The same thing if is (-4,-5) go down 4 and to the left 5 and mark a dot. When you mark the dot put (_,_).

Hope you understand. Let me know if you don't.

A company that makes​ hair-care products had 8,000 people try a new shampoo. Of the 8,000 ​people, 16 had a mild allergic reaction. What percent of the people had a mild allergic​ reaction

Answers

Answer:

0,2%

Step-by-step explanation:

16 / 8000 = 0,002

0,002 * 100 % = 0,2%


Help please ASAP !

Answers

Tha last one PR=XY is not true.

It should be PR=XZ.

Damon drove 120 miles in 2 hours and Ashley drove 135 miles in 2.3 hours Ashley insists that she was traveling at a faster rate than Damon Is she accurate?

Answers

Ashley is incorrect, they’re traveling at the same rate. hope this helped

(High School Geometry) What is the minimum number of regions that are formed by 100 distinct lines in a plane? What is the maximum number of regions formed by 100 lines in the plane?

Answers

Answer:

101 - min, 5051 - max

Step-by-step explanation:

Minimum number of regions

You may have 100 parallel lines. This will give us 101 regions

Use following formula to find the maximum possible number of regions:

R(n) = 1 + n(n + 1)/2, where n is the number of linesR(100) = 1 + 100*101/2 = 5051

ne ajudemmmm pfvvv ...​

Answers

Answer:

NEED TRANSLATOR

Step-by-step explanation:

ENGLISH PLEASE

Order the integers from least to greatest

7, -3, -25, 25, 0, -10,5

A 0.-3.-10.-25.5.7.25

B -25.-10. -3.0.5.7.25

C -3.-10.-25, 0.5.7.25

Answers

Answer:

B

Step-by-step explanation:

-25,- 10, -3, 0, 5, 7, 25

Use the exchange rate £1 = €1.13 to convert €339 into £.

Answers

Answer:

the answer is £300.

..........

Answer:

383.07

Step-by-step explanation:

All the info

£1 = €1.13 What are we trying to do? Turn €339 into £.

Therefore 339 X 0.13=44.07 So 44.07+339=£383.07 making £383.07 the exchanged sum

For every 30 minutes she dances, Nell stretches for 10 minutes. What is the ratio value of the time Nell dances to the
time she stretches?
3

10

10/30

30

Pls answer correct

Answers

Answer:

30

Step-by-step explanation:

Answer:

A. 3

Step-by-step explanation:

For every 30 minutes she dances, Nell stretches for 10 minutes

Ratio:

Dance / Stretch = 30 min / 10 min = 3/1 = 3

parallel to y = 1/5x-4 and goes through (10,-2) in point slope form

Answers

Answer:

y + 2 = [tex]\frac{1}{5}[/tex] (x - 10)

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = [tex]\frac{1}{5}[/tex] x - 4 ← is in slope- intercept form

with slope m = [tex]\frac{1}{5}[/tex]

Parallel lines have equal slopes

The equation of a line in point- slope form is

y - b = m(x - a)

Here (a, b ) = (10, - 2 ) , then

y - (- 2) = [tex]\frac{1}{5}[/tex](x - 10) , that is

y + 2 = [tex]\frac{1}{5}[/tex](x - 10) ← in point- slope form

What can you multiply by to find:

50% of a number?
10% of a number?
75% of a number?

Answers

Answer:

50% is 0.5

10% is 0.1

75% is 0.75

Step-by-step explanation:

When multiplying to find the percent of a number, you make it a decimal by dividing it by 100.

[tex]-\sqrt{3} + \sqrt{(\sqrt{3}-1)^2 }[/tex]

Answers

[tex] - 1[/tex]

hope it helps

see the attachment for the explanation

Q) [tex]-\sqrt{3} + \sqrt{(\sqrt{3}-1)^2 }[/tex] = ?

→ [tex]-\sqrt{3} + \sqrt{(\sqrt{3}-1)^2 }[/tex]

→ [tex]-\sqrt{3} + {\sqrt{3}-1 }[/tex]

→ [tex](-\sqrt{3} + \sqrt{3})-1[/tex]

→ -1 is the final answer.

2. How many tens are in 9 hundreds?

Answers

Answer:90

Step-by-step explanation:

900/10 = 90

Answer: 90

Step-by-step explanation:

can i have help with this please

Answers

Answer:

Your answer is [tex]2c^{2}[/tex]

2c^2

The 8/4 simplifys to 2

3-1=2 for the c’s

And the d’s cancel out

If 8 km = 5 miles, convert 350 miles into km.

Answers

Answer:

560 is your answer... I hope it helps

Uhm what the person said ^^

I NEED THE ANSWR ASAP: Write the number as a power with a base of 5.
125^3

Answers

Answer:

5^9

Step-by-step explanation:

I had this question before.

Other Questions
y=4x3 y=2x+1answer asap So I finished the graph, But I need help making the table please help whoever answers correctly, I will mark brainliest 10. Cornett Cable charges $32.50 a month for basic cable television. Each preminium channel selected costs an additional $4.95 per month. b. Make a table to show the monthly cost for 0,1,2,3, and 4 premium channels. Then graph the ordered pairs this is the last thing then I'll stop Also, no links please [tex]\boxed{\bf HELP\: MEEEE}[/tex][tex]\boxed{\bf 30\times 11\times11}[/tex][tex]\boxed{\bf TY\:TY}[/tex] Dale Clifford, an American history teacher, wants her students to understand the causes of the Civil War. She leads a discussion of the war, and in the process explains that the North had the advantage of manufacturing, so they could produce more weapons, and the South had the advantages of initially having better leaders and better equipment. She also explains that Lincoln was our president during the War, and he issued the Emancipation Proclamation, which freed the slaves in the south. She then outlines some of the major battles of the war, such as Gettysburg. Finally, she has the students write an essay about what they believe it might have felt like to be a slave.Which of the following is the best assessment of the alignment of Dale's lesson?Question 21 options:Her lesson was out of alignment, because slavery was the primary cause of the War, and her discussion didn't include slavery.Her discussion was in alignment because slavery was the primary cause of the War and she had her students write an essay about what it might have felt like to be a slave.Her lesson was in alignment, because her objective was for her students to understand the causes of the War, and all of her discussion was about the War.Her lesson is out of alignment, because neither her discussion nor her essay focused on the causes of the War. You are doing chores to earn your allowance. For each chore you do, you earn $5. You are saving up to buy a $100 lego set. How many chores would it take you to earn $100? An electrochemical cell operates because the electrodes in the two half-cells differ in their electrical potential. A metal electrode composed of ______ reducing agent will have a greater electrical potential to push electrons toward the electrode composed of a ______ reducing agent. *NO BOTS TRYING TO SCAM ME I HAVE UT THIS MULTIPLE TIMES AND HAVE GOTTEN SCAMMED* Shlomo Benartzi begins his talk by outlining three things that we as a people are not doing well. What are these three things? Do you agree or disagree with his evaluation of these things?What is behavioral finance? What does behavioral finance have to do with personal and family finance?What are some of the behavioral obstacles that influence personal finance as described by Benartzi?What is Benartzis solution to all of these behavioral challenges that effect personal finance? How does improved personal finance benefit the economy in general?Based on what Davidson says, how would you describe the term fiscal cliff?Davidson describes two fundamentally different economic philosophies that both impact the debt crisis that the US faces. What are these philosophies? Do you agree with one more than the other?Davidson offers several solutions to the major issues, stating that fiscally we are actually not a nation that is divided on the major issues. What are some of the fiscal solutions that he mentions tweaking?While Davidson outlines several issues that the parties are actually not terribly divided on, he also outlines two issues that are hyper-partisan. What are these fiscal issues and why do you think that the parties are so divided? Do you lean towards the Democrat or Republican view on these issues?Towards the end of his talk, Davidson discusses a fear. What is this fear? How does this fear, as well as his entire discussion of the fiscal cliff, relate back to economic factors that influence our personal finances? Find the slope \mathrm{m}m of the line in the graph below. \mathrm{m} =m= need help urgently vvvvvvv question 8 what does the following expression equal when y = 32 x (y - 5) which is bigger 11/18 or 5/14 When did the first rocket ship get launched Will be giving brainliest! Have a good day and youll get through it ! What did many of North Carolina's slaves do during the war? O They fled to the Mountain region for safety. O They provided valuable services to the Union forces along the coast. O They left their plantations and fled to the North. O They joined the Confederate Army out of loyalty to their masters. I need to pack ___ apple for my lunch. a or an Which sentence uses correct subject-verb agreement?A. The river through our cities are pollutedB. Mountains in Colorado is beautiful.C.The book about South American rivers is overdue.D. The trees around our state is blooming. can someone please help me!! this assignment is due at 11:59 I need this done Pilar:Busqu y no encontr.(1) toalla limpia. Sitienes tiempo, favor de lavarlas. Voy a ir al supermercado esta tarde para comprar(2) cosas; si quieres algo en especial, voya estar en la oficina y no hay.(3)problema, puedes llamarme all. Otra cosa, iba a sacar fotos del apartamentopara mandrselas a mis padres, pero mi celular est roto y no encontr(4) cmara y s que hay por lo menos dos en elapartamento. S que tenemos.(5) fotos muybonitas pero creo que estn en tu celular. Me las puedes mandar?CamilaP.D. Esta noche van a venir(6) amigos paraestudiar Given that f ( x ) = 8 x + 5 f ( x ) = 8 x + 5 and g ( x ) = 3 x 2 g ( x ) = 3 - x 2 , calculate f(g(0)) Which spelling words have the v/v open syllable pattern marked correctly? Choose three answers. Example: fuel fu/el A. di/ary B. id/eas C. pri/or D. pia/no E. du/al F. ca/sual G. poe/t