1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
bogdanovich [222]
3 years ago
9

The sum of a number and its reciprocal is 41/20. Find the number. smaller value larger value

Mathematics
1 answer:
Natali [406]3 years ago
6 0

Step-by-step explanation:

Let the number is x. Its reciprocal will be 1/x. According to given condition, we get :

x+\dfrac{1}{x}=\dfrac{41}{20}\\\\\dfrac{x^2+1}{x}=\dfrac{41}{20}\\\\20x^2+20=41x\\\\20x^2-41x+20=0

It is a quadratic equation. The values of x are :

20x^2-25x - 16x+ 20 =0\\\\5x(4x - 5) -4( 4x - 5) = 0\\\\(5x-4)(4x-5)=0\\\\5x-4=0\ \text{and}\ (4x-5)=0\\\\x=\dfrac{4}{5}\ \text{and}\ x=\dfrac{5}{4}

The smaller number is 4/5 and the larger number is 5/4.

You might be interested in
1. Real numbers that cannot represent as a quotient of two integers are ____ numbers.
Solnce55 [7]
1. Irrational  
2. Additive inverse
 3. Like terms
 4. Absolute value
 5. Inductive reasoning
7 0
3 years ago
A Lua reflete parte da luz solar que nela incide. Admite que: a luz refletida pela Lua demora 1,28 segundos a chegar à Terra; en
Anuta_ua [19.1K]

Answer:

3.84 * 10^8 meters

Step-by-step explanation:

As the speed of light is 300,000,000 meters/second and the time that the light takes to go from the moon to the Earth is 1.28 seconds, we can find the distance using the formula:

Distance = speed * time

So we have that:

Distance = 300,000,000 * 1.28 = 384,000,000  meters

In cientific notation, we need the first number to be in the interval from 1 to 10, so we have 3.84, and we have to multiply by 10^8 to reach our result, so we have:

Distance = 3.84 * 10^8 meters

4 0
2 years ago
What is .333 written in its simplest fraction from
gayaneshka [121]
Hi.
your answer is 1/3, or 2/6, or 3/9, or 4/12, etc.
hope this helps!!!


6 0
3 years ago
Find the area of the triangle whose vertices are (2, 3); (-1, 0); (2, -4)...
Neko [114]

Answer:

Area = 14.5

Step-by-step explanation:

Let's label the given coordinates A, B, C;

Thus;

A = (2, 3)

B = (-1, 0)

C = (2, -4)

From the coordinate geometry formula, the formula for area of a triangle with 3 vertices is;

Area = [Ax(By - Cy) + Bx(Cy - Ay) + Cx(Ay - By)]/2

Area = [2(0 - (-4)) + (-1)(-4 - 3) + 2(3 - (-4))]/2

Area = 29/2

Area = 14.5

8 0
3 years ago
In which data set is the mean equal to the median?
sdas [7]

Answer:

The number in the middle

5 0
2 years ago
Other questions:
  • What is 5.72x10^3 in standard form
    13·1 answer
  • Could u tell me what 60:48 in its simplest form is please
    10·1 answer
  • your restaurant bill subtotal was $85. With a sales tax rate of 7.5%, and tip rate of 18%. How much was the tax and tip? please
    7·2 answers
  • 1. Devin is making a candle by pouring melted wax into a mold in the shape of a square pyramid. Each side of the base of the pyr
    11·2 answers
  • you car has 30 miles per gallon your palanning to drive 930 miles how many gallons of gas do you need
    12·2 answers
  • What is the product?<br> (y^2+3y+7][8y^2+y+1)
    14·1 answer
  • What is 7/9 divided by 1/3?<br>0 2<br>0 2 1/9<br>0 2 1/3<br>0 3​
    14·1 answer
  • I need someone to solve for x and explain their steps, please!
    5·1 answer
  • Moral law is also called Law of Nature because early philosophers thought that generally speaking, everybody knows it by nature.
    13·1 answer
  • Select the correct answer. what is this expression in simplified form? v12 . 4v3 options a.7 b.4v15 c.6 d.24
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!