Given the original statement "If a number is negative, the additive inverse is positive,” which are true? Select three options. If p = a number is negative and q = the additive inverse is positive, the original statement is p → q. If p = a number is negative and q = the additive inverse is positive, the inverse of the original statement is ~p → ~q. If p = a number is negative and q = the additive inverse is positive, the converse of the original statement is ~q → ~p. If q = a number is negative and p = the additive inverse is positive, the contrapositive of the original statement is ~p → ~q. If q = a number is negative and p = the additive inverse is positive, the converse of the original statement is q → p.

Answers

Answer 1

Answer:

The three options are;

1) If p = a number is negative and q = the additive inverse is positive, the original statement is p → q

2) If p = a number is negative and q = the additive inverse is positive, the original statement the inverse of the original statement is ~p → ~q

3) If q = a number is negative and p = the additive inverse is positive, the contrapositive of the original statement is ~p → ~q

Step-by-step explanation:

Given a statement if p then q, we have, p → q. The converse of the original statement is then, if q, then p while the inverse of the original statement is then if not p then not q, and the contrapositive statement is then if not q then not p

Mathematically, we have;

The given conditional statement;

If a number is negative, the additive inverse is positive which can be expressed as follows;

The conditional statement is p → q

The converse statement is q → p

The inverse statement is ~p → ~q

The contrapositive statement is ~q → ~p

Therefore, we have;

1) The conditional statement, if p = a number is negative and q = the additive inverse is positive, the original statement which is a conditional statement is therefore p → q

2) If p = a number is negative and q = the additive inverse is positive, the original statement, which is a conditional statement is p → q, the inverse of the original conditional statement is therefore, ~p → ~q

3) If q = a number is negative and p = the additive inverse is positive, the original statement, which is a conditional statement is therefore, q → p, the contrapositive of the original conditional statement  is therefore ~p → ~q.

Answer 2

The three options are;

1) If p = a number is negative and q = the additive inverse is positive, the original statement is p → q

2) If p = a number is negative and q = the additive inverse is positive, the original statement the inverse of the original statement is ~p → ~q

3) If q = a number is negative and p = the additive inverse is positive, the contrapositive of the original statement is ~p → ~q

What is additive inverse?

The additive inverse of any number is defined as when it is added to the number it gives zero as a result.

Given a statement if p then q, we have, p → q. The converse of the original statement is then, if q, then p while the inverse of the original statement is then if not p then not q, and the contrapositive statement is then if not q then not p

Mathematically, we have;

The given conditional statement;

If a number is negative, the additive inverse is positive which can be expressed as follows;

The conditional statement is p → q

The converse statement is q → p

The inverse statement is ~p → ~q

The contrapositive statement is ~q → ~p

Therefore, we have;

1) In The conditional statement, if p = a number is negative and q = the additive inverse is positive, the original statement which is a conditional statement is, therefore, p → q

2) If p = a number is negative and q = the additive inverse is positive, the original statement, which is a conditional statement is p → q, the inverse of the original conditional statement is, therefore, ~p → ~q

3) If q = a number is negative and p = the additive inverse is positive, the original statement, which is a conditional statement is, therefore, q → p, the contrapositive of the original conditional statement is, therefore, ~p → ~q

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Related Questions

6x+2y=12 how do I show my work solve for y :) please help me

Answers

Answer:

x=2

Step-by-step explanation:

6x+2y=12

6x+2x0=12

6x+0=12

6x=12

x=2

Find the value of x that makes m
m
n
(2x + 20)
(32°

Answers

Answer:  x= 20

Step-by-step explanation:

If m and n are parallel then the  3x and 2x+20 has to have the same measures which means they have to equal each other . So set them equal each other and solve for x.

2x + 20 = 3x

-2x            -2x

 20 = 1x

 x= 20

3m - 12 =18
Step by step

Answers

Answer:

3m=18+12

3m=30

divide both sides by 3

m=10

Answer:

m = 10

Step-by-step explanation:

3m - 12 =18

Add 12 to each side

3m - 12+12 =18+12

3m = 30

Divide by 3

3m/3 = 30/3

m = 10

2.)Solve for Y
3.)Solve for G
5.)Solve for B
6.)Solve for D

Answers

2. Y=x/5
3. G= f/h
5. B= m/f
6. D=b/8
I hope these are right for you

Answer:

See below

Step-by-step explanation:

2) x =5y  Solve for y

Divide both sides by y

x/5 = y

3) f/g = h Solve for G

Multiply both sides by g

(g/1) f/g =h(g)

f =hg

Divide by h

f/h = g

5) bf = m  Solve for b

divide both sides by f

bf/f = m/f

b = m/f

6) 8 = b/d   solve for d

Multiply both sides by d

8 ( d) = b

Divide by 8

d = b/8

A file that is 242 megabytes is being downloaded. If the download is 17.1% complete, how many megabytes have been downloaded? Round your answer to the nearest tenth.

Answers

Answer:

4.1 megabytes

Step-by-step explanation:

well we use the rule of three

242 megabytes  ------- 100%

x      megabytes  -------- 17.1%

(x megabytes)(100%)=(242 megabytes)(17.1%)

[tex]x=\frac{242*17.1}{100} \\\\x=\frac{4138.2}{100} \\\\x=4.1382\\\\x=4.1[/tex]

so there have been downloaded 4.1 megabytes

HELP ME PLEASE i need this right now

Answers

Answer:

jimragarant 1

Step-by-step explanation:

pls can u help me with the questions i have posted i will give u anything u want

pls help its urgent

Answer:

108.8 yd²

Step-by-step explanation:

The area (A) of the triangle can be calculated as

A = [tex]\frac{1}{2}[/tex] absinC

where a, b are 2 sides and C the angle between them

Here a = 23, b = 9.5 and C = 85° , thus

A = 0.5 × 23 × 9.5 × sin85° ≈ 108.8 yd² ( to the nearest tenth )

HELP ME ASAP WILL GIVE 5 STARS AND A THANKS

Answers

Answer:

The mayor will lose by a large percentage.

Answer:

D??

Step-by-step explanation:

It may be D or A I’m not sure!!

determine which of the following pairs of triangles are similar.

Answers

C is the answer
they have equivalent sides and equivalent measurements

       Triangles given in Options (b) and (c) are similar.

Theorems of similar triangles:  If two angles of a pair of triangles are equal in measure, then the triangles will be similar by A-A property.  If corresponding sides of two triangles are proportional, both the triangles will be similar.

From the picture attached,

a). In triangle ABC,

    ∠A + ∠B + ∠C = 180°    [By triangle sum theorem]

    60° + ∠B + 40° = 180°

    ∠B = 80°

    Similarly, in ΔDEF,

     ∠D + ∠E + ∠F = 180°

     60° + 85° + ∠F = 180°

     ∠F = 35°

       Since, measure of angles of both the triangles are different in measures, triangles will not be similar.

b). In ΔABC,

    ∠A + ∠B + ∠C = 180°

    45° + 50° + ∠B = 180°

     ∠B = 85°

     In ΔDEF,

     ∠D + ∠E + ∠F = 180°

      50° + 85° + ∠F = 180°

      ∠F = 45°

      Hence, ∠C ≅ ∠D, ∠A≅ ∠F and ∠B ≅ ∠E

       Since, measure of corresponding angles are equal, both the

       triangles (ΔABC ~ ΔFED) will be similar.

c).    Here, corresponding sides of both the triangles are proportional,

       [tex]\frac{AB}{DE}= \frac{CA}{FD}= \frac{BC}{EF}[/tex]

       [tex]\frac{14}{7}= \frac{12}{6}= \frac{16}{8}[/tex]

       [tex]\frac{2}{1}= \frac{2}{1}= \frac{2}{1}[/tex]

       Both the triangles ΔABC and ΔDEF will be similar.

  Therefore, Option B and Option C are the correct options.

Learn more about the similarity of two triangles here,

https://brainly.com/question/2499350?referrer=searchResults

PLEASE HELP ASAP!!!!!

Answers

Answer:

D

Step-by-step explanation:

The correct answer will be D

When 19,346 is divided by a number,the quotient is 841 and the remainder is 3.What is the number? ​

Answers

Answer

Hi mate,

Divided=divisor*quotient+remainder

19346=x*841+3

19346-3=841x

19343/841=x

x=23

Hope this helps u

Mark me as brainliest

Step-by-step explanation:

Help please!!! Thank you!
Choose the equation that represents this situation. Use t to represent the
number of tickets sold, and use m to represent the total money raised.
The junior class sells tickets to a talent show to raise money. Each ticket sells
for $8. How much money do they raise?
A.m=t divided by 8
B.m=8+t
C.m=8t
D.t=8m

Answers

Answer:

m=8t

Step-by-step explanation:

money raised will equal 8 dollars per ticket sold

show that (x+1)(x+3)(x+5) can be written in the form ax^3 + bx^2 + cx+ d where a,b,c and d are all positive integers.

Answers

Answer:

x³ + 9x² + 23x + 15

Step-by-step explanation:

Given

(x + 1)(x + 3)(x + 5) ← expand the first pair of factors using FOIL

= (x² + 4x + 3)(x + 5)

Each of the terms in the second factor is multiplied by each of the terms in the first factor, that is

x²(x + 5) + 4x(x + 5) + 3(x + 5) ← distribute the 3 parenthesis

= x³ + 5x² + 4x² + 20x + 3x + 15 ← collect like terms

= x³ + 9x² + 23x + 15 ← in the form ax³ + bx² + cx + d

INTERPRETING EXPRESSIONS:
ln the expression 9x - 9, the variable is ___

Answers

the variable is X .........

A colored chip is yellow on one side and red on the other. The chip was flipped 50 times and landed on the yellow side 29 times. what is the relative frequency of the chip landing with the yellow side facing up?
38%
42%
56%
58%

Answers

It is 58% you get this answer because you have 29 yellow out of 50 flips. You divide 29 by fifty to get .58 which as a percentage is equal to 58%

Answer:

58 %

Step-by-step explanation:

BINGO
7 26 35 51 73
14 23 44 5563
6 19 FREE 48 64
12 22 32 54 70
11 16 33 47 69
What output corresponds with 12?

Answers

Answer:

23

Step-by-step explanation:

what number is 10 times less than 20?​

Answers

Answer:

180

Mathematically, 10 times less than 20 would be: Take 20, subtract (10 x 20). Answer: -180.

Work out 5
5-² x 3√8
Give your answer as a decimal.​

Answers

Answer:

I got -11.97056 as the answer

QR has endpoints at Q(2,6) and R(0,2). Find the midpoint M of QR

Answers

Answer:

Step-by-step explanation:

Well, the midpoint formula is M=((x↓1 +x↓2)/2,(y↓1 +y↓2)/2 ). (not exponents, they tell you which x or y value).

If you plug in your 2 points, it becomes m=((2+0)/2,(6+2)/2).

When you add, it is m=(2/2, 8/2)

When simplified, it is m=(1,4)

Iola has $75. She buys a pair of shoes on sale for one-half off and a pair of socks for $6. She has $32 left. Which equation can be used to find x, the regular price of the shoes?

Answers

Answer:

To solve for the problem above, let x be the regular price of the shoe.

1/2x is the one-half price of the shoe then we add 6 for the pair of socks,

1/2x + 6, then lola has 32 left so we add that too, 1/2x + 6 + 32 = 75. The total amount of lola spent is 75 - 32, which is 1/2x + 6.

Step-by-step explanation:

Compare the process of solving
|x - 1 + 1 < 15 to that of solving
1x – 1| + 1 > 15.

Answers

Answer:

x-1+1<15; this gonna be x<15 and 1x-1+1>15 this is gonna be the same

Step-by-step explanation:

The United States Tennis Association is researching the effect of what color the professional tennis players wear and
the number of foot faults called on them in one match. They collect data from every televised event of the year, noting
the color of the player's clothes and how many foot faults were called on the player. Which is this an example of?
-experiment
-simple random sample
-observational study
-convenience sample

Answers

Answer:

the answer is observation study

Step-by-step explanation:

Can anyone help me with this

Answers

Answer:

2700[tex]ft^{3}[/tex]

Step-by-step explanation:

First you find the volume of the bigger cuboid:

Volume= Length * width * height

Volume= 22 * 10 * 11

Volume= 2420[tex]ft^{3}[/tex]

Then the volume of the smaller cuboid:

Volume= Length * width * height

Volume= 7 * 10 * 4

Volume= 280[tex]ft^{3}[/tex]

Then add the volumes of the two shapes:

2420 + 280= 2700[tex]ft^{3}[/tex]

HOPE THIS HELPED

Twice the sum of a number and 3 is equal to three times the difference of the number and 7. Find the number

Answers

Answer:

The number is 27

Step-by-step explanation:

Let us change the word statement to an algebraic equation

→ Assume that the number is x

→ Twice the sum of a number and 3, means add x by 3, then multiply the sum by 2

→ The algebraic expression is 2(x + 3)

→ Three times the difference of the number and 7, means subtract x and 7, then multiply the difference by 3

→ The algebraic expression is 3(x - 7)

→ Equate the two expressions

∴ 2(x + 3) = 3(x - 7)

→ Simplify each side

∵ 2(x + 3) = 2(x) + 2(3) = 2x + 6

∵ 3(x - 7) = 3(x) - 3(7) = 3x - 21

2x + 6 = 3x - 21

Let us solve the equation to find x

→ Subtract 6 from both sides

∴ 2x + 6 - 6 = 3x -21 - 6

∴ 2x = 3x - 21

→ Subtract 3x from both sides

∴ 2x - 3x = 3x - 3x - 27

∴ -x = -27

→ Divide both sides by -1

x = 27

The number is 27

52 regular playing cards are randomly dealt to four players with each players receiving 13 cards. What is the probability that each player will have exactly one ace

Answers

Answer:

The probability is 1/28,561

Step-by-step explanation:

Here, we want to find the probability that each of the players will receive exactly one ace.

In a deck of cards, we have 4 suites of 13 cards each, with each of the suites consisting of 1 ace.

So, the probability of getting an ace for each of the four players will be 4/52 = 1/13

Now, the probability of each of the players getting exactly one ace will be; first got one ace , second got one , third got one and fourth got one.

mathematically, this probability will be 1/13 * 1/13 * 1/13 * 1/13 = (1/13)^4 = 1/28,561

simplify the expression -4(x - 5)

Answers

Answer:

-4x+20

Step-by-step explanation:

[tex]-4(x - 5)\\\\=-4x-4(-5)\\\\=-4x+20[/tex]

4(n+9)-3(2+n)
Help now plz

Answers

Answer:

n + 30

Step-by-step explanation:

[tex]4(n+9)-3(2+n)\\\\\mathrm{Expand}\:4\left(n+9\right):\quad 4n+36\\=4n+36-3\left(2+n\right)\\\\\mathrm{Expand}\:-3\left(2+n\right):\quad -6-3n\\=4n+36-6-3n\\\\\mathrm{Simplify}\:4n+36-6-3n:\\\quad n+30[/tex]

Answer:

4n + 36 - 6 -3n

n + 30

Step-by-step explanation:

What is the mean of 25, 27, 32, 29, 42? ​

Answers

Step-by-step explanation:

To find the mean, or average, you add all of the numbers and divide the sum by how many there are.

In this case, you add 25,27,32,29, and 42 and then divide the sum by 5.

25+27=52+32=84+29=113+42=155.

Then divide.

155/5=31.

hope it helps!

what is the inverse of f={(1,3),(4,2),(5,1)}​

Answers

Answer:

f={(3,1),(2,4),(1,5)}

Solve using the order of Operations:
- 5- (- 4 + 2)2
O -1
0-9
O 9
O 1
Math

Answers

Hey there! I'm happy to help!

Order of operations is PEMDAS. Parentheses comes first.

(-4+2)=-2

So, now we have -5-(-2)2

The next available option is multiplication.

-5-(-4)

Now we do addition and subtraction.

-5+4

-1.

Have a wonderful day! :D

What is the slope of a line passing through points (-7,5) and (5,-3)?

Answers

Answer:

- 2/3

Step-by-step explanation:

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A. $400 B. $1440 C. $440 D. $820 hey can anyone help me out pls! Using the origin as a starting point, explain how you would plot the point (-5, 3). Use the grouping method to factor the polynomial below completely.x2 3x2 + 5x - 15A. (x+3)(x - 5)B. (x - 3)(x+5)O C. (X - 5)(x+3)O D. (2 + 5)(x-3)