. 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

The entry ticket to a local football game costs $12 for an adult and $8 for a child. A group of 100 people paid an entry fee of $1,056. How many adults and how many children were there in this group? Drag the correct value to the appropriate box.

Answers

Step-by-step explanation:

let x be the number of adults and y number of childrens

so we have. x+y=100 people

and. 12*x+8*y=1056 dollars

x=100-y

replace 100-y to the second equation

12*(100-y)+8y=1056

1200-12y+8y=1056

1200-4y=1055

1200-1056=4y

144=4y

y=144/4=36

so x=100-y=100-36=64

so in this group were 64 adults and 36 childrens

In this group were 64 adults and 36 children.

What is system of equation ?

In mathematics, a system of linear equations (or linear system) is a collection of one or more linear equations involving the same variables.

let x be the number of adults and y number of children

so we have. x + y = 100 people

and. 12 × x + 8 × y = 1056 dollars

x=100 - y

replace 100 - y to the second equation

12 × (100 - y) + 8y = 1056

1200 - 12y + 8y = 1056

1200 - 4y = 1055

1200 - 1056 = 4y

144 = 4y

y = 144/4 = 36

so x = 100 - y = 100 - 36 = 64

Hence, in this group were 64 adults and 36 children.

To learn more about system of equations from here

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what is the measure of <4?

Answers

Answer:

i not sure but  i think its 125

Step-by-step explanation

60% sure is 125

If m∠1 = 123°, m∠5=123

Answers

what’s the question...

Answer:

Ayo dood whats the ?

Step-by-step explanation:

Julio says, "If you subtract 17 from my number and multiply the difference by -5, the result is
- 70." What is Julio's number?

Answers

Answer:

Julio's number is 31.

Step-by-step explanation:

Okay, so -70 divided by -5 is 14.

14 plus 17 equals 31.

If you subtract 17 from 31, you get 14.

Then, if you multiply 14 times -5, you get -70.

how many loonies are in 1 quarter

Answers

there are 25 loonies in 1 quarter

25 loonies i think but im not so sure

Are integers rational numbers

Answers

Answer:

Yes

Step-by-step explanation:

ALL integers are rational numbers. However, NOT all rational numbers are integers

An is a mathematical statement that shows two expressions are equal using an equal sign.

Answers

No! Because a mathematical statement is actually a statement that is either true or false not a statement that shows two expressions are equal using an equal sign!

Answer:

fix the awser

Step-by-step explanation:

Answer please. For money.

Answers

x = 21.75 (third option)

lol i accidentally added a comment sorry

Please help with this question, thank you.

Answers

Answer:

the conclusion is that AC and CB are equal distances because the midpoint is half of the line. hope this helps:)

The track star runs 100m at a rate of 10.4m/s. How long did it take to run 100m?
0.1 m/s
9.65
1040m/s
0.1s

Answers

Answer:

Time, t = 9.615 secs.

Explanation:

Speed can be defined as distance covered per unit time. Speed is a scalar quantity and as such it has magnitude but no direction.

Mathematically, speed is given by the equation;

[tex]Speed = \frac{distance}{time}[/tex] ....equation 1

[tex]Time = \frac{distance}{speed}[/tex] .....equation 2

Given the following data;

Distance = 100m

Speed = 10.4m/s

Substituting into equation 2;

[tex]Time = \frac{100}{10.4}[/tex]

Time, t = 9.615 secs.

2p + 3 = 5 - 6p
what is the value of p in the equation?

Answers

Answer:

p=1/4

Step-by-step explanation:

original: 2p+3=5-6p

move variable to one side: 2p+6p=5-3

combine like terms: 8p=2

answer :p=2/8

simplify answer (final answer): p=1/4

2p+3=5-6p

2p+6p+3=5

2p+6p=5-3

8p=5-3

8p=2

Answer: p=1/4

5+4(8n-8)=-1+6 for n​

Answers

Answer:

n=1

Step-by-step explanation:

5+4(8n-8)=-1+6

5+32n-32=5

5+32n-32=5

-27+32n=5

32n=32

n=1

Answer:

n = 1

Step-by-step explanation:

5 + 4(8n - 8) = -1 + 6

First you have to distribute the 4 leaving the equation to look like this...

5 + 32n - 32 = -1 + 6

Now solve the constants (normal numbers without a variable)

-27 +32n = 5

+27            +27  You have to add 27 to BOTH sides

32n = 32

n = 1

Hope this helps and have a great day!

During the summer Frank earned $60 less than three times as much as his brother Fred. Together they earned $1220. How much did they each earn?

Answers

Answer:

320, 900

Step-by-step explanation:

What Is the slope of the line on the graph?

Answers

Answer:

the answer is 4x 5y -5x -4y

Step-by-step explanation:

pls help now
A person is trying to find the height of a flagpole or AB. This person is 1.5 m tall and is
standing at DC. A mirror is placed at point M. This mirror is 6 m away from the person and 120 m away from the flagpole. Angles BMA and DMC are congruent. Find the height of the flagpole or BA.

Answers

Answer:

30 m. Your welcome

Step-by-step explanation:

Answer:

30m tall

Step-by-step explanation:

1.5/6 = x/120

Switch sides; cross multiply:

x/120 = 1.5/6

Multiply both sides by 10 and simplify:

x/12 = 5/2

Multiply both side by 12 and get 30m

the area of a iscoles triangle having base 3 cm and length of the equal side is 2cm is​

Answers

Answer:

please rotate the picture*

7x_____=1 Help pls lol

Answers

Answer:

1

Step-by-step explanation:

Answer:

I dont think there an answer to that question can you tell us the options

EXPRESS 250 AS THE PRODUCT OF ITS PRIME

Answers

Answer:

Step-by-step explanation:

2 | 250

5 | 125

5 | 25

5 | 5

1 | 1

250 = 2 × 5 × 5 × 5

It will be nice if you give me brainliest. Good luck!

Max has 3 textbooks and 2
notebooks in his backpack. The total
weight of his backpack and its
content is 10,5 pounds. Each
textbook weighs 2.5 pounds. Each
notebook weighs 0.25 pound. What
is the weight of Max's empty
backpack?

Answers

Answer:

2 pounds

Step-by-step explanation:

3 • 2.5= 7.5
2•.25=.5
7.5+.5=8
10.5-8=2.5
Max’s empty backpack weighs 2.5 pounds

Can someone please help me

Answers

I think it’s 3 good luck

Answer:i think 8

Step-by-step explanation:

Two Angles are Supplementary when they add up to 180 degrees. They don't have to be next to each other, just so long as the total is 180 degrees.

NEED HELP ASAP!! convert 287 cm to inches

Answers

287 centimeters is 112.992 inches

Answer:

112.992

Step-by-step explanation:

divide the length value by 2.54.

To which subset numbers does the following number belong?

Answers

rational number which is answer b

first person to answer gets brainllest A regular hexagon and a rectangle have the same perimeter, P. A side of the hexagon is 4 less than the length, l, of the rectangle. The width of the rectangle, w, is 2 less than the length of the rectangle. What is the perimeter of the hexagon?

Answers

Answer:

Perimeter of the hexagon is 36 units

Step-by-step explanation:

if the length is ten using the information provided you  will get a perimeter of 36 for both

Answer:

36

Step-by-step explanation:

Hope it helps :)

Brainliest pls?

Which translation maps the graph of the function f(x) = x2 onto the function g(x) = x2 + 2x + 6?
O left 1 unit, up 5 units
Oright 1 unit, up 5 units
left 2 units, up 2 units
Oright 2 units, up 2 units

Answers

Answer:

The translation is left 1 unit, up 5 units ⇒ A

Step-by-step explanation:

Let us revise the rules of translation of a function

If the function f(x) translated horizontally to the right by h units, then its image is g(x) = f(x - h)  If the function f(x) translated horizontally to the left by h units, then its image is g(x) = f(x + h)  If the function f(x) translated vertically up by k units, then its image is g(x) = f(x) + k  If the function f(x) translated vertically down by k units, then its image is g(x) = f(x) - k

The vertex form of the quadratic function is f(x) = ax² + bx + c, where a, b, and c are constant is f(x) = a(x - h)² + k, where h = [tex]\frac{-b}{2a}[/tex]  and k = f(h)

You will use the vertex form to find the translation

∵ g(x) = x² + 2x + 6

∴ a = 1 and b = 2

→ use the rule of h to find it

∴ h = [tex]\frac{-2}{2(1)}=\frac{-2}{2}[/tex]

h = -1

→ Use it to find k

∵ g(h) = k

∴ k = g(-1)

→ Substitute x by -1 in g to find k

∴ k = (-1)² + 2(-1) + 6 = 1 - 2 + 6

k = 5

→ Substitute the values of h and k in the vertex form above

∴ g(x) = 1(x - -1)² + 5

g(x) = (x + 1)² + 5

→ By using the 2nd and 3rd rules of translation above

f(x) is translated 1 unit to the left and 5 units up

∴ The translation is left 1 unit, up 5 units

The translation that maps the graph is mathematically given as

"The translation as left 1 unit, up 5 units"

Which translation maps the graph of the function f(x) = x2 onto the function g(x) = x2 + 2x + 6?

Translation is simply defined as the communication of the meaning of source content into target-content.

Generally, the equation for the  vertex form  is mathematically given as

g(x) = x² + 2x + 6

Where

a = 1 and b = 2 and h=-1

g(h) = k

k = g(-1)

k = (-1)² + 2(-1) + 6

k= 1 - 2 + 6

k = 5

In conclusion

g(x) = (x + 1)^2 + 5

Giving the translation as left 1 unit, up 5 units

Read more about Arithmetic

https://brainly.com/question/22568180

which expression has the same value as 9 - (-7)?​

Answers

Answer:

[tex]9 + 7 = 9 - (-7)[/tex]

Step-by-step explanation:

[tex]9 - (-7) \: is \: same \: as \: (9) + (7)[/tex]

2 COLLUM PROOFS 1 question

Answers

Answer:

1. <AOB and <XOZ are vert. <'s           1. Given

   m<AOB = 80     m<XOZ = 6x+5

2. m<AOB = m<XOZ                            2. Vertical <'s are congruent

3. 80 = 6x+5                                       3. Substitution

4. 75 = 6x                                              4. Subtraction Property of equality

5. 12.5 = x                                              5. Division Property of equality    

Step-by-step explanation:

Two buses are traveling to a state park. One bus leaves the terminal at 4:00 pm, and travels at 40 miles per hour. The second bus
leaves the terminal at 5:00 p.m. and travels at 60 miles per hour.
At what time does the second bus catch up with the first bus?

Answers

Answer:

Step-by-step explanation:

When the second bus catches up to the first bus, this means that the distance they have travelled is equal.

So for bus 1, you know it travels at 40 miles per hour.

4pm = 0 miles

5pm = 40 miles

6 pm = 80 miles

7pm = 120 miles

For bus 2, you know it travels at 60 miles per hour

5pm = 0 miles

6pm = 60 miles

7pm = 120 miles.

So you can see that at 7pm, they will both have travelled 120 miles.

If the 16 boys in the classroom are 40% of the class how many students re there in class

Answers

Answer: 40 students

Step-by-step explanation: All we need to do is do 16/40 to get 0.4 or 40%. So 100% = 40.

PLEASE ANSWER ASAP AND ANSWER EVERYTHING SORRY FOR BAD QUALITY WILL MARK BRAINLIEST PLEASE ANSWER SOON

Answers

Answer:

1 Angle A is 44, 2 angle A is 20.

~~~~~~~~~~~~~~~~~~~~~~~~~~~

The Equation for 1 is x + 45 + 82 + x + 65 = 180 x = -1 A = 44 Degrees

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

The Equation for 2 is x + 21 + 130 + x + 31 = 180  x = -1  Angle A = 20 Degree

~~~~~~~~

Bye have a nice day :)

Scott wrote the number 39 on the board and said that it was a prime
number because it was an odd number. Is he correct? Explain why
or why not.

Answers

He was not correct because 39 is divisible by 3. Just because a number is odd does not mean it is prime.
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