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

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Related Questions

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

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:

ne ajudemmmm pfvvv ...​

Answers

Answer:

NEED TRANSLATOR

Step-by-step explanation:

ENGLISH PLEASE

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

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

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

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

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

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:)

[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:

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 ^^

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

(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

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.

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.

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:

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

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%

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

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.

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

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

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

:)

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.


Help please ASAP !

Answers

Tha last one PR=XY is not true.

It should be PR=XZ.

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 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]

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