. If the difference between a number and its reciprocal is 24/5, find the number.​

Answers

Answer 1

Answer:

The answer is 5/25 you just switch it

Answer 2

Answer:

number is 5

Step-by-step explanation:

The reciprocal of a number n is [tex]\frac{1}{n}[/tex] , thus

n - [tex]\frac{1}{n}[/tex] = [tex]\frac{24}{5}[/tex]

Multiply through by 5n to clear the fractions

5n² - 5 = 24n ( subtract 24n from both sides )

5n² - 24n - 5 = 0 ← in standard form

(n - 5)(5n + 1) = 0 ← in factored form

Equate each factor to zero and solve for n

n - 5 = 0 ⇒ n = 5

5n + 1 = 0 ⇒ 5n = - 1 ⇒ n = - [tex]\frac{1}{5}[/tex]

However, n > 1 , thus n = 5

That is the number is 5


Related Questions

Complete the statements below that show y = 8x2 + 32x + 17 being converted to vertex form.

Factor out the leading coefficient.

y = 8(x2 + 4x) + 17

Form a perfect-square trinomial.

Answers

Answer:

y = 8(x + 2)^2 + -15

Step-by-step explanation:

Factor out the leading coefficient.

y = 8(x2 + 4x) + 17

Form a perfect-square trinomial.

y = 8(x2 + 4x + 4) + 17 + -32

Write in vertex form.

y = 8(x + 2)^2 + -15

Answer:

4, -32

Step-by-step explanation:

find the length of the angle inducated for each trapezoid.​

Answers

First things first: all quadrilateral have an interior of 360⁰. With that info, you can do your exercice.

the first one:

the angle P =90⁰

the angle Q=90⁰

So you do the deduction:

360⁰-90⁰-90⁰-65⁰= 115⁰

the second one:

the angle F=60⁰

so you do the same thing as number one:

360⁰-60⁰-60⁰= 240⁰

240⁰/2= 120⁰

Voilà!

This triangle is being rotated. The square where the three triangles meet is called the

Answers

Answer:

center point

Step-by-step explanation:

use quizlet

1.49
Divided by 7.4 rounded to the nearest tenth

Answers

Answer:

0.2

Step-by-step explanation:

[tex]\frac{1.49}{7.4}[/tex] = 0.20135135, but rounded to the nearest tenth gives you 0.2.

which equation represents a line parallel to the line y-5x=-6

Answers

Step-by-step explanation:

Coefficients before x and y should be equal to coefficients before x1 and y1 on every equation of lines that are parallel to the given line

General formula for them should be y-5x=b where b is every number we want.

So one of them could be y-5x=0 or y-5x=2 ...

????????????????????

Answers

Answer:

what do you not understand

Four pounds of almonds cost $30, 7 pounds of almonds cost $52.50, and 12 pounds of almonds cost $90. Which equation gives the total cost y of x pounds of almonds?

Answers

Answer:

y=7.5x

Step-by-step explanation:

The awnser is: y=7.5x

Identify the x and y intercepts 10x+4y=20

Answers

Answer:

x-intercept(s): (2,0)

y-intercept(s): (0,5)

Step-by-step explanation:

To find the x-intercept, substitute in 0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y

Here's the graph:

^ the person up there is correct

pls help!!!!!!!!!!!!!​

Answers

Answer:

All triangles have 180 degrees.

Step-by-step explanation:

Solve the equation and check the solution.
a minus 2 and one-half = 1 and one-half

A.a = 1
B.a = 3 and one-half
C.a = 4
D.a = 4 and one-half

Answers

A - 2 1/2 = 1 1/2

Solve for A by adding 2 1/2 to both sides:

A = 1 1/2 + 2 1/2

A = 4

The answer is c. A = 4

Check: 4 - 2 1/2 = 1 1/2

Answer:

C. A=4

Step-by-step explanation:

i just did the assignment

CHECK PROFILE QUESTIONS ALOT OF 20 POINT QUESTIONS HURRRRRYYYYYY!!!!!!!!!!!!

Answers

Answer:

9(x)-20(y)

Step-by-step explanation:

a regular polygon has 6 wall then it matters that the 54 walls

who envented 0 name the person​

Answers

Answer:

Brahmagupta invented the number 0

Step-by-step explanation:

Answer:

Brahmagupta

Step-by-step explanation:

PLEEEEEEEEEEEEASE HELP ME WITH THIS! IT IS DUE TOMORROW!!!

Answers

Answer: They both equal 30

Solving Steps:
1. Solve for x
40-4x=50-8x
-4x+8x=50-40
4x=10
x=2.5

2. Find <1 and <2
40-4(2.5)
40-10
=30

PLS HELP ME!!!! I WILL MARK U!!!!!

MATH!!!!

Answers

Answer:

-38

Step-by-step explanation:

y=2

z=-17

yz-y^2

(2)(-17)-(2)^2

-34-4

-38

Given F(x) = 3x ^ 2 - 4 and F(a) = 8 , find a.

Answers

Answer:

188

Step-by-step explanation:

3(8^2)-4

3(64)-4

192-4

188

3/4 divided by 1/2 what do you guys think?

Answers

Answer:

It is 1 1/2

Step-by-step explanation:

When you divide a fraction, it multiplies

So instead of dividing by 1/2, multiply by 2

Answer:

2 / 3

Step-by-step explanation:

( 3 / 4 ) / ( 1 / 2 )

= ( 3 x 2 ) / ( 4 / 1 )

= 6 / 4

= 2 / 3

How long is each side of a square with a perimeter of 32.28 centimeters?

Answers

Answer:

8.07 cm

Step-by-step explanation:

since all sides of a square are the same length, you can just do 32.28/4=8.07

can i get brainliest please?

find the distance between the points given (3,4) (6,8)

Answers

Answer:

The answer is 5

Step-by-step explanation:

Hope this helps

the intercept is a point where the graph of a function or relation does not intersect with the y- axis and the x-axis of the coordinate system : true or false

Answers

Answer:

False

Step-by-step explanation:

The intercept is the point where the graph crosses over the y-axis

22 elephants is 65% of what
number of elephants?

Answers

Answer:

The Answer Is: 33.846153846154

round to the digit needed

Step-by-step explanation:

What is the value of x?
93
87 78
72

Answers

Answer:

72°

Explanation:

Given that line J and line K are parallel, we can safely assume that line m is the transversal for the following question. We can also remove line l so that we can focus on line m instead.

Using the rule of Alternate Exterior Angle theorem, x would equal to 72°.

Answer: 72

Now that we are told that J and K are parallel, we know that there can be a transversal line (m). You can see that m goes 72 degrees.

So, the answer is 72. Best of Regards!

Alan drive 210 miles using 9 gallons of gas. At this rate,how many gallons of gas would he need to drive 413 miles?

Answers

Answer:

17.73 gallons.

Step-by-step explanation:

413/210 is 1.97. 1.97x9=17.73

Which table contains only corresponding x-values and y-values where the value of y is one more than the product of x and 2?

Answers

Answer:

Option (C)

Step-by-step explanation:

Value of y is more than the product of x and 2.

Equation representing the given condition will be,

y = 2x + 1

Therefore, by substituting the values of x in the equation we can get the table for the input - output values for the equation,

x        0       1         2        3        4

y         1        3        5        7        9

Therefore, table given in the Option (C) will be the correct option.

help help help help help

Answers

Answer:

90

Step-by-step explanation:

Answer:

90

Step-by-step explanation:

(5) (-9) (-2)

-45 (-2) = 90

hope this helps

Little Bear can eat all the honey in a jar in 10 minutes. If Papa Bear eats honey with him, they can eat all the honey in the jar in 6 minutes. How long would it take Papa Bear to eat the jar of honey alone?
Pls Help

Answers

Answer:

15

Step-by-step explanation:

little bear consumes 1/10 jar/min

in 6 minutes , little bear would consume 6 min * 1/10 jar/min = 6/10 jar = 0.6 jar

this means , that in those same 6 minutes papa bear needs to have eaten the remaining 0.4 jar   also it takes 6 min/0.4 jar = 6*10/4 min/jar = 15 min/jar  

The time taken for Papa Bear to eat the jar of honey alone is 15 minutes.

Based on the information given, the little bear will use 1/10 minutes.

In 6 minutes, the little bear will have eaten 0.6 jars

Therefore, the time taken for the papa bear will be:

= 6 minutes / (1 - 0.6)

= 6/0.4

= 15 minutes

Therefore, the correct option is 15 minutes per jar.

Read related link on:

https://brainly.com/question/18589721

what integer represents the sea level

Answers

Answer:

+20,320

Step-by-step explanation:

I used Google! :)

Answer:

It’s just a positive answer

Step-by-step explanation:

Below sea level would be this -3

Above sea level would be this 3


3x-(2x+4)
I need help

Answers

Answer:I think it is -18

Step-by-step explanation:sorry if I got it wrong

X will equal -4 hope this helps

I need the expression that represents the length of the pool

Answers

Answer:

2) 41-2x

Step-by-step explanation:

41-2x

6x - 2 3x + 7 18. Identify the segment bisector of RS. Then find RS. (Section 1.3) M R S​

Answers

Answer:

m is 7

Step-by-step explanation:

The length of RS is 32.

Given,

M is the bisector of RS

RM = 6x - 2

MS = 3x + 7

We need to find RS.

What does it mean to be a bisector point in a line?

A bisector point in a line divides the line into two equal halves.

Example:

A_____B_____C

B = midpoint

AB = BC

AC = AB + BC

We have,

R_____M______S

RS = RM + MS

M = bisector

RM = MS

RM = 6x - 2

MS = 3x + 7

6x - 2 = 3x + 7

6x - 3x = 7 + 2

3x = 9

x = 9/3

x = 3

Now,

RS = RM + MS

RS = 6x - 2 + 3x + 7

RS = 9x + 5

RS = 9 x 3 + 5

RS = 27 + 5

RS = 32

Thus the length of RS is 32.

Learn more about finding the length of a line with a midpoint in a line here:

https://brainly.com/question/19588188

#SPJ2

what is the slope of (-3,2) (-5,-2)
what is the slope of (7,1) (1,-7)​

Answers

Answer:

The slope of the points (-3,2) (-5,-2) is 2

The slope of the points (7,1) (1,-7)​ is 4/3

Step-by-step explanation:

Use rise over run (y2 - y1) / (x2 - x1)

Plug in the points given and find the slopes:

(y2 - y1) / (x2 - x1)

(-2 - 2) / (-5 + 3)

-4/-2

= 2

Find the next slope:

(y2 - y1) / (x2 - x1)

(-7 - 1) / (1 - 7)

-8/-6

= 4/3

The slope of the points (-3,2) (-5,-2) is 2

The slope of the points (7,1) (1,-7)​ is 4/3

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