Why is the opposite of the reciprocal of 5 the same as the reciprocal of the opposite of 5 ?

Answers

Answer 1

Yes, the opposite of the reciprocal of 5 is same as the reciprocal of the opposite of 5  ,both are equals to (-1/5).

As given in the question,

Given number is 5

Case 1 : First find reciprocal of 5

Reciprocal of 5 =1/5

Then, opposite of the reciprocal of 5 =(-1/5)

Case 2. First find the opposite of 5

Opposite of 5 =-5

Reciprocal of the opposite of 5 =(1/ -5)

                                                =(1/-5) × (-1/-1)

                                                =(-1/5)

Therefore, the opposite of the reciprocal of 5 is same as the reciprocal of the opposite of 5  ,both are equals to (-1/5).

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Related Questions

URGENT!! ILL GIVE BRAINLIEST! AND 100 POINTS

Answers

Answer:

[tex] \bf \implies \frac{ - 1}{2} [/tex]

Step-by-step explanation:

[tex] \bf \longrightarrow({ - 2}^{3})( {3}^{0})({4}^{ - 2} )[/tex]

[tex] \bf \longrightarrow( - 8)(1)( \frac{1}{16}) [/tex]

[tex] \bf \longrightarrow( - 8)( \frac{1}{16})[/tex]

[tex] \bf \longrightarrow \frac{ \cancel{- 8}}{ \cancel{16}} \frac{ \cancel{ - 4}}{ \cancel{8}} \frac{ \cancel{ - 2}}{ \cancel{4}} \frac{ - 1}{2} [/tex]

[tex] \bf \longrightarrow \frac{ - 1}{2} [/tex]

The cost to rent a car is $19.50 plus $0.25 per mile. If you have $44
to rent a car, what is the greatest number of miles that you can
drive?

Answers

you can drive no more than 98 miles

Simplify the following expression completely :

Answers

Answer: x^29

Step-by-step explanation:

x^11 * x^18=

x^(11+18)=x^29

Answer:

= x²⁹

Step-by-step explanation:

x¹¹ · x¹⁸

= x¹¹ ⁺ ¹⁸

= x²⁹

17xy +4-3x

Term(s):
Coefficient(s):
Variable(s):
Constant(s):

Answers

Answer:

Terms: 17xy, 4, 3x

Coefficients: 17, 3

Variables: x, y

Constants 4, 3

Find the measure of the missing angles.
b
80°

Answers

Answer:

b=100 c=80

Step-by-step explanation:

Need help with this please

Answers

The range of the function is represented by y ∈ [- 0.5, 3].

How to find the range of a function

Functions are relations between an input set named domain and an output set named range such that each element of the domain is related only to one element of the range. Graphically speaking, the range of the function is represented by the vertical axis of the Cartesian plane.

The picture shows that the range of the function is between - 0.5 and 3. Then, the range of the function is represented by y ∈ [- 0.5, 3].

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The approximate weights of two animals are 5.36 x 104 lbs. and 6.2 x 104 lbs. find the total weight of the two animals. write the final answer in scientific notation with the correct number of significant digits. 12 x 104 lbs. 5.9 x 104 lbs. 1.22 x 105 lbs. 1.2 x 105 lbs.

Answers

The total weight of the two animals is 5.9×10⁴ lbs.

In order to solve the question easily, firstly lets write the weight of each animal in standard form.

Weight of first animal = 5.36×10⁴

Weight of first animal = 53,600

Weight of first animal = 6.2×10⁴

Weight of first animal = 62,000

Now, the total weight of animals will be calculated by summing the two values.

Total weight = 53,600 + 62,000

Performing addition of total weight of animals

Total weight = 1,15,600 lbs

Writing the total weight in scientific notation -

Total weight = 1.15×10⁵ lbs

On rounding off, we get -

Total weight = 1.2×10⁵ lbs

Hence, the total weight of the two animals is 1.2×10⁵ lbs.

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A bag of mangoes has a total mass of 56kg. If the average mass of a mango is 13/5 kg, find the number of mangoes in the bag. (Ignore the mass of the bag).

Answers

Answer:

About 22 mangoes.

Step-by-step explanation:

If we need to find the number of mangoes in a bag, and we have the total mass of the bag, and the average mass of a mango...

Total mass / Average mass = Number of mangoes

56kg / 13/5 kg = n

We can divide the fraction by flipping it and multiplying...

[tex]\frac{56}{1} /\frac{13}{5} = \frac{56}{1} *\frac{5}{13} \\\\56*5 / 13 \\\\280 / 13 = 21.54[/tex]

Because there are probably only whole mangoes in the bag, 21.5 is rounded up to 22 mangoes.

If a precise answer is necessary than stick with 21.54

40 times 40 equals what

Answers

Answer:

1600

Step-by-step explanation:

1600

Answer:

1600

Step-by-step explanation:

Can someone please help me out? I don’t really understand the problem.

Answers

Answer:

-3x+y=14

Step-by-step explanation:

add the x and -4x which gives you -3x

add the -y and 2y which is y

then -14 and 28 add up to 14

What is the solution of the system of equations? r - 2x + 8y = -8 5x - 8y = 20

Answers

The solution of the given system of equations is (4,0)

We can use 3 methods to solve a system of equations:

- graphical method

- elimination method

- substitution method.

The given system of equation is:

-2x + 8y = -8  ....... (1)

5x - 8y = 20  ........(2)

Notice that in the both equations the coefficients of y are -8 and 8, hence if we add those coefficients, they will be cancelled out.

Therefore, we will choose elimination method.

Add equation (1) and equation (2)

-2x + 8y = -8

5x - 8y = 20   +

3x        = 12

 x        = 12/3 = 4

Substitute x = 4 into equation (1):

-2x + 8y = -8

-2.(4) + 8y = -8

-8 + 8y = -8

Add 8 to both sides:

-8 + 8y +8 = -8 + 8

8y = 0

y = 0

Thus, the solution is (4,0)

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Mark grew 9 flowers with 3 seed packets. With 5 seed packets, how many total flowers can Mark have in his garden? Assume the relationship is directly proportional.

Answers

Answer:

15

Step-by-step explanation:

9 seeds in 3 packets is a 3:1 ratio which means that there are 3 seeds per packet. With 5 packets you simply multiply 5 by 3

The problem is in the attached png. Thanks!
(Geometry)

Answers

The unknown angles when line BD bisect the angle ABC is as follows:\

m∠ABD = 28°m∠ABC = 84°

How to find an angle when a line bisect an angle?

An angle bisector divides and angle into 2 equal angles.

Therefore, line BD bisect angle ABC.

Hence,

let's find m∠ABD

if m∠ABD = 6x + 4

m∠DBC =  8x - 4

Therefore,

m∠ABD  = m∠DBC

6x + 4 = 8x - 4

6x - 8x = -4 - 4

-2x = -8

x = -8 / -2

x = 4

Therefore,

m∠ABD = 6x + 4 = 6(4) + 4  = 24 + 4 = 28°

let's find m∠ABC

If m∠ABD = 5y - 3

m∠DBC = 3y + 15

Hence,

m∠ABD = m∠DBC

5y - 3 = 3y + 15

5y - 3y = 15 + 3

2y = 18

y = 18 / 2

y = 9

Therefore,

m∠ABC = m∠ABD +  m∠DBC

m∠ABC = 5(9) - 3 + 3(9) + 15

m∠ABC = 45 - 3 + 27 + 15

m∠ABC = 84°

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There are 66 markers
in the box. 20 markers
don't have tops. How
many more markers
don't have tops?
marketing

Answers

There are 20 markers with no tops and 46 markers with tops in the box.

What precisely are mathematical operations?A function in mathematics that converts zero or more input values (also known as "operands" or "arguments") to a well-defined output value is known as an operation.The complexity of the operation is determined by the number of operands.Binary operations (i.e., operations of arity 2), such as addition and multiplication, and unary operations (i.e., operations of arity 1), such as additive inverse and multiplicative inverse, are the most commonly studied operations.A constant is an operation with arity zero, also known as a nullary operation.An arity 3 operation, also known as a ternary operation, is the mixed product.

So, there are 66 markers in the box.

20 markers don't have tops.

Markers with tops:

66 - 20 = 46

Therefore, there are 20 markers with no tops and 46 markers with tops in the box.

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The correct question is given below;
There are 66 markers in the box. 20 markersdon't have tops. How many more markers have tops?

Split 84 into two parts so that one part is five times the other part

Answers

It’s 14 and 70
Assume one part is x, and since the other part is 5 times the first part it becomes 5x. Then add those two together to get 84.
And it becomes 5x+x=84
Which simplifies to 6x=84, then divide both sides by 6 to get x=14
So the first part is 14, and the second part is five times the first part which is 5*14 which equals 70.

I have no idea what to do someone please help im desperate

Answers

Answer/Step-by-step explanation:

1)

   3              ?

|-------|-----------------------|

G      H                         I

           

|<---------------------------->|

              14

3 + ? = 14

-3          -3

? = 11

HI = 11

2)

    9              ?

|---------|---------------------|

E         F                      G

|<---------------------------->|

               21

9 + ? = 21

-9         -9

? = 12

FG = 12

3) Find RS

Q----------------R-----S-----------------T

|<----------------------------------------->|

                      19

|<---------------------->|

              10

                     |<----------------------->|

                                  10

QS = 10

QR = 9

RT = 10

ST = 9

RS = 1

4) Find SV

                             7

S-----------------T-------------U--------V

                     |<---------------------->|

                                   8

|<--------------------------------->|

                   12

SU = 12

TV = 8

TU = 7

UV = 1

ST = 5

SV = 13

5) Solve for x

       2x + 29            4

M--------------------L---------K

  |<---------------------------->|

             x + 22

2x + 29 + 4 = x + 22

2x + 33 = x + 22

-x            -x

x + 33 = 22

  -33      -33

x = -11

6) Solve for x

  2x + 14      x + 11

J-------------I-------------H

 |<------------------------>|

              10

2x + 14 + x + 11 = 10

3x + 25 = 10

     -25     -25

3x = -15

÷3     ÷3

x = -5

I hope this helps!



a. The 9 th and 11 th terms of an arithmetic sequence are 132 and 98 . What is the 10th term?

Answers

The 10th term of an arithmetic sequence is found to be a₁₀ = 115.

What is the sequence of AP arithmetic progression?

In Arithmetic Progression, the difference between two mathematical orders is a constant quantity (AP). Arithmetic Sequence is another name for it.

We'd come across a few specific terms in AP that had been labeled as:

The first term (a)Common difference (d)Term nth (an)The total of first n terms (Sn)

As shown below, the AP can also be viewed in analysed in terms of common differences.

The following is the procedure for evaluating an AP's n-th term: an = a + (n − 1) × dThe arithmetic progression sum is as follows: Sn = n/2[2a + (n − 1) × d].Common difference 'd' of an AP: d = a2 - a1 = a3 - a2 = a4 - a3 = ......      = an - an-1.

Now, as per the given question;

Let the 9th term be 'a₉' = 132.

The 11th term be 'a₁₁' = 98.

The 10th term be 'a₁₀'.

The AP must have contain equal common difference. So,

d = a₁₀ - a₉

d = a₁₀ - 132

And, also

d = a₁₁ - a₁₀

d = 98 - a₁₀

Since, a₁₀ - a₉ = a₁₁ - a₁₀ for forming an AP.

Equate the common difference.

a₁₀ - 132 = 98 - a₁₀

Bring the variable part on single side.

2a₁₀ = 98 + 132

2a₁₀ = 230

a₁₀ = 115.

Therefore, the value of the 10 th term is estimated as a₁₀ = 115.

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Translate the sentence into an equation.
Five less than the product of 3 and a number 6 equals .
Use the variable b for the unknown number.

Answers

Answer: b = 11/3 (or) 3.67

Step-by-step explanation:

Five less than the product of 3 and a number 6 equals .

five less = - 5

product of 3 and a number =  (multiply) 3 x b

equals 6 = = 6

3b - 5 = 6

3b = 6 + 5

3b = 11

b = 11/3

b = 3.67 ( rounded )

2. Ms.Walker arrange her students into groups for the next school debate. When she groups them in 5s, 2 students are left out. When she groups them in 4s, 1 student is left out. When she groups them in 7s, 4 students are left out. What is the least number of students Ms.Walker has? ​

Answers

Answer:

8

Step-by-step explanation

we must find the total of the students to do that we look at when she grouped them in 7, 4 are left out so we multiple 4 miltiplied by 7 and we get 28, there are 4 left out so we add them. now we have a total of 32 students. 32 divided by 4 is 8

I need this answered please

Answers

As an algebraic representation of the scenario, this would look like:

2c - 54

Chrissy’s age is represented by the variable c. Because we are looking for 2 times Chrissy’s age, we can put a 2 to make a coefficient.

The phrase “54 less than” refers to “[insert value] - 54”

Therefore, the expression is 2c - 54.

2 questions. Q1. Write an absolute value equation that has -17 and 5 as the given values Q2. 11 and 48​

Answers

∣∣−175∣∣=175 Write an absolute value equation that has -17 and 5

5/18 + 7/18
9/17+ 2 8/17
3 9/10 + 1 3/10
11/16 + 3/16
5 13/16 + 6 1/16
7/19 + 14/19
7/25 + 16/25
13/15 + 8/15
9/11 + 5/11
12 11/25
11 9/25

Answers

1.) 0.66666666666

2.) 3

3.) 5.2

4.) 0.875

5.) 11.875

6.) 1.10526315789

7.) 0.92

8.) 1.4

9.) 1.27272727273

10.) 12.44

11.) 11.36

Here ya go!

Tutorial D
Subtract. Write your answer as a fraction or
as a whole or mixed number.
6-1/4-2 1/1 =
Submit

Answers

The value of the expression 6 - 1/4 - 2(1/1) as a mixed number is 2( 3/4 ).

Fraction: A number that is stated as a quotient in mathematics, when the numerator and denominator are divided. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. A suitable fraction has a numerator that is less than its denominator.

Consider the expression,

6 - 1/4 - 2(1/1)

Let x = 6 - 1/4 - 2(1/1)

First solving the mixed fraction,

x = 6 - 1/4 - 2(1/1)

x = 6 - 1/4 - ( (2 ×1 + 1) / 1 )

x = 6 - 1/4 - ( 2 +1 / 1)

x = 6 - 1/4 - 3

x = 3 - 1/4

x = ( 12 - 1)/4

x = 11/ 4

x = 2( 3 /4 )

The value of 6 - 1/4 - 2(1/1) as a mixed fraction is 2( 3/4 ).

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I need this answered please

Answers

This equation can be represented as an algebraic expression and will look like:

(8 / y) + 7 = 9

The key phrases here include:

• “more than”

• “quotient”

• “is”

More than means addition, so we know that we will be adding something to 7.

Quotient is the result of a division problem, so we know that we will be dividing something.

The word “is” in this case refers to the equal sign, suggesting that seven more than the quotient of a number and 8 equals 9. That also tells us that 9 is the result.

The problem, when carrying out the mentioned principles, would look like:

(8 / y) + 7 = 9

How many groups of 1/9 are there In 2

Answers

18 groups considering 18/9=2

Answer:

18

Step-by-step explanation:

I need help with 1 and 2

Answers

1. You owe $47.08 in September.

Is an elevation of -10 feet closer or farther from the surface of the ocean than an elevation of -8 feet?

Answers

The elevation of -10 feet is farther from the surface level of the ocean than an elevation of -8 feet.

Here, we are given two elevation levels from the surface of the ocean.

One elevation is of -10 feet and another one is of -8 feet.

An elevation of -10 feet implies that the distance from the surface level is 10 feet.

On the other hand an elevation of of -8 feet implies that the distance from surface level is 8 feet.

Thus, by comparing the distances, we can see that elevation of -10 feet is farther from the surface level of the ocean than an elevation of -8 feet. To be more precise, it is 2(10-2) feet farther than an elevation of -8 feet.

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-0.4-x=
−0.4−x=
\,\,-6(x-3.1)+6x
−6(x−3.1)+6x

Answers

Answer:

Step-by-step explanation:

I think you meant

-0.4 - x = -6(x - 3.1) + 6x

-0.4 - x = -6x + 6x + 18.6

-0.4 - x = 18.6

       -x = 18.6 + 0.4

       -x/-1 = 19/-1

           x = -19

check

-0.4 - (-19) = -6(-19 - 3.1) + 6(-19)

           18.6 = -6(-22.1) + (-114)

           18.6 = 132.6 - 114

           18.6 = 18.6

HELP ASAP!!! WILL MARK BRAINLIEST!!!

Find the equation of the line that is perpendicular to y=2x+8 and passes through the point (8, -8).

A. y = 2x + 12
B. y = 1/2x - 4
C. y = -1/2x - 4
D. y = -2x + 12

Answers

Answer:

c. y = -1/2x - 4

Answer:

C

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 = 2x + 8 ← is in slope- intercept form

with slope m = 2

given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{2}[/tex] , then

y = - [tex]\frac{1}{2}[/tex] x + c ← is the partial equation of the perpendicular line

to find c substitute (8, - 8 ) into the partial equation

- 8 = - 4 + c ⇒ c = - 8 + 4 = - 4

y = - [tex]\frac{1}{2}[/tex] x - 4 ← equation of perpendicular line

2 3 4 5 6 7 DOD
9
Look at the graph of the linear function.
-5-4-3-2-1
A
8
5
4
3
2
4
3
4
5
V
C
1
D
5
X
8
10
The rate of change between point A and point B is 2. What is the rate of change between point C and
-2
1
C

Answers

Answer:

show a picture

Step-by-step explanation:

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