Mathematics Middle School

Identify the contrapositive of the following statement. If x = 2, then x + 3 = 5.

a) If x + 3 = 5, then x = 2.
b) If x + 3 ≠ 5, then x ≠ 2.
c) If x ≠ 2, then x + 3 ≠ 5.
d) x = 2 and x + 3 = 5.

Answers

Answer 1

Answer:

If x + 3 ≠ 5, then x ≠ 2 thus b: is your Answer

Step-by-step explanation:

Answer 2
Final answer:

The correct contrapositive of the statement "If x = 2, then x + 3 = 5" is: If x ≠ 2, then x + 3 ≠ 5.

Explanation:

The contrapositive of the statement "If x = 2, then x + 3 = 5" can be found by negating the statement and switching the hypothesis and conclusion. The negation of "x = 2" is "x ≠ 2" and the negation of "x + 3 = 5" is "x + 3 ≠ 5".

Therefore, the contrapositive of the statement is: If x ≠ 2, then x + 3 ≠ 5. Option (c) represents the correct contrapositive of the statement.

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Related Questions

Lucy purchased 2.7 lbs. of apples that were on sale for $2.50/lb. If she paid with a ten dollar bill, how much change did she receive?

Answers

2.50 * 2.7 = $6.75 total

10.00 - 6.75 = $3.25 change back

2.7*2.50=34.965. 34.97-10=24.97. $24.97 is the answer.

Determine if the side lengths 6, 11, and 19 form a triangle. If it is a triangle, classify it by its sides.

Answers

It is not triangle because the one side of triangle should be smaller than the other two sides
Let's check
6+11=17
17<19
Or
11+19=31
9<31

Compute the requested average. Tim Worker receives the following income monthly from a second job. Jan. Feb. Mar. Apr. May June $200 $150 $250 $260 $285 $380 What is his average pay? (To the nearest hundredth.)
254.17255.37257.83259.85

Answers

To find the average, simply add up the values of the money that Tim earned and divide it by the six months that he worked. In this case, it would be (200 + 150 + 250 + 260 + 285 + 380) = (1525 / 6 = 254.166). This gives a closest value of choice (A), which is $254.17 per month.

If you add up all the monthly incomes, you get 1590. If you divide 1590 by 6 (the number of the months), then you get the answer: $265.

Edit: my bad, I read the question wrong, the answer is $254.17

A seamstress needs to cut 15- inches pices of ribbons from a roll of ribbon that is 9 feet in length. What is the greatest number of 15-inches pieces the seamstress can cut from 5 of these rolls of ribbon?

Answers

the seamstress can cut 36, 15-inch pieces of ribbon from 5 rolls of 9 foot long ribbon.

Choose the words that make the sentence true. the number 7 is prime or composite because it has exactly or more than two factors

Answers

The number 7 is prime because it has exactly two factors. 

Answer:

The number 7 is prime becuase it has only 2 factors: 1 and itself.

Step-by-step explanation:

I hope it helps:)

-10-5x in standard form

Answers

-10 - 5x in standard form.

Standard form is when everything is in order.

Variables go before numerical values, so simply rearrange this expression.

-5x - 10

~Hope I helped!~

-5x-10 should be the answer

Write the Expression in standard form by expanding and combining like terms 4(8m-7n) +6(3n-4m)

Answers

standard for is x × 10 ^I
where,
I = indice
10 > x < 0
you cannot write this is standard form with putting in what they stand for. However you can simplify it -

4(8m-7n) +6(3n-4m)
32m - 28n + 18n - 24m
8m - 10n

but hey I am from England do what we call standard form might be different

What are the solutions of the equation c2-10c=0

Answers

c=0,10 would be the best choice
In this question, you are given an equation with one variable which is c. Then, it will be possible to find out the c value. Assuming the equation is c^2 - 10c = 0 then the calculation should be:

c^2 - 10c = 0 
(c) (c - 10) = 0 
c=0, c=10

is number 10 right? of it isnt plz tell me thanks!

Answers

No, the answer is 1.8 (I apologize for my previous answer)
No, it's 1.8 make sure first tho.

How do you isolate the variable ‘c’ in the equation F=(9/5)c+32 ?

Answers

First:

Divide everything by 9/5, or multiply by 5/9, in order to remove the multiply 5/9 from c.

This results in:

F(5/9) = c + 160/9

Then just move the 160/9 to the other side to get:

c = 5/9F - 160/9

Factor each of the following. Remember: It is the reverse of the distributive property and your first step is to find the greatest common factor of all terms.

Answers

To factor using the reverse of the distributive property, find what common factor the numbers have and what common factor the variables have.

10.

-8x - 16

8 is a factor of both -8 and 16.
The first term has x, but the second term does not, so there is no common variable. The only common factor is 8, or -8.

Factor out a -8:

-8x - 16 = -8(x + 2)

To see if the factorization is correct, multiply the answer using the distributive property. If you get the original expression, then the factorization is correct.

11.

w^2 - 4w

The first term only has a factor of 1. The second term has a 4. There is no common factor between 1 and 4 except for 1, so there is no number you can factor out. The first term has w^2. The second term has w. Both terms have a common factor of w. We can factor out w from both terms.

w^2 - 4w = w(w - 4)

12.

4s + 10rs

4 and 10 have a common factor of 2.
s and rs have a common factor of s.
2 times s is 2s, so the common factor is 2s.
We now factor out 2s

4s + 10rs = 2s(2 + 5r)

It took John 3 minutes to drive 18 laps. How many laps per minute did he run?

Answers

He ran 6 laps per minute. 18/3=6
Divide 18 by 3.
He ran 6 laps every minute.

I forgot how to do this. Can someone tell me how?

Answers

Hey there, CrisisOnCats!

Absolute value is when any value that's inside the box, positive or negative, will always come out as positive.
For this one, you solve it as a normal equation, solving for x.
So, 8 = 5 - x
8-5 = 5-5 - x
3 = -x
x = -3
One value can be -3
To find the other value, just find any value that's equal to 8 when added or subtracted from 5, negative or positive.
We have 13 in this case.
5 - 13 is equals to -8 but since it's absolute value, it would be positive 8.
So, the answer is D

Thank you for using Brainly.
See you soon!
Hello there!

8 = |5 - x|

Then flip it

|-x + 5| = 8

Then solve for the absolute value

We know either -x + 5 = 8 or -x+5 = -8

Let's solve the first possibility,which is -x + 5 = 8

-x + 5 = 8

-x= 8 - 5

-x = 3
Remember that we cannot leave the variable with a negative sign. To turn it into a positive sign, we need to divide both sides by -1

-x/-1 = 3/-1

x= -3

Now let's solve the second possibility which is -x+ 5 = -8

-x + 5 = -8

-x = -8 - 5

-x = -13

again, we cannot leave it with the negative sign so we gonna do the same thing which is divide both sides by -1

-x/-1 = -13/-1

x = 13

Thus, the answer is x= -3 or x = 13

The correct answer is option D

Best of luck with your studies!

What does the A stand for in the R.A.C.E. Strategy

Answers

The A means Answer.

lol
Your answer is answer if your doing this strategy
R= restate
A=answer
C=cite
E=explain
HOPE IT HELPS:)

240 is 60% of what number?

Answers

Hey there!

400
240 / .6 = 400

Check: (60/100) * 400 = 240

Hope this helps!
Hi there! To find the answer to that question, we can write and solve a proportion. Set it up like this: 240/x = 60/100. This is because we're looking for the whole and we already know the part, which is 240. Cross multiply the values in order to get 24,000 = 60x. Now, divide each side by 60 to isolate the variable. When you do, you get x = 400. You can check this by dividing and then multiplying that quotient by 100. 240/400 is 0.6 and 0.6 * 100 is 60. That makes 60%. There. 240 is 60% of 400.

What's the largest 3-digit base 14 integer?

Answers

Base 10 has the ten digits: {0, 1, 2, 3, 4, 5, 6,7, 8, 9}

Base 11 has the digits: {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A} where A is treated as a single digit number

Base 12 has the digits {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B}

Base 13 has the digits: {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C}

Base 14 has the digits: {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D}

The digit D is the largest single digit of that last set. So the largest 3-digit base 14 integer is DDD which is the final answer

Note: It is similar to how 999 is the largest 3-digit base 10 integer

114 ÷ 19
[tex]114 \div 19 =[/tex]

Answers


[tex]114 \div 19 = 6[/tex]
I hope my answer can be a help to you.

for f(x) =24-2x, find f(2) and find x such that f(x) =10

Answers

f(2) = 20 
f(10)= 4

for each f(x) when it says find f of a number like f(2) just plug that number into the x that is in the regular equation.

example- f(x) = 24-2x find f(2) --- 24-2(2)= 20

The value of the function for x = 2 is 20 and the value of x for which function equal to 10 is 7

What is function?

A function is defined as a relation between a set of inputs having one output each, a function is a relationship between inputs where each input is related to exactly one output.

Given is a function, f(x) =24-2x, we need to find f(2) and value of x for which function's value is 10,

For f(2), put x = 2

f(2) = 24-2(2)

= 24-4

= 20

Therefore,

f(2) = 20

For f(x) =10

Set the function equal to 10,

24-2x = 10

-2x = -14

2x = 14

x = 7

Hence, the value of the function for x = 2 is 20 and the value of x for which function equal to 10 is 7

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(c) Mrs. Dewalt looked at another hotel. She waited a week before she decided to book nights at that hotel, and now the prices have increased. The original price was $1195. The price for the same room and same number of nights is now $2075. What is the percent increase? Round to the nearest whole percent. Explain your answer

Answers

74%. The difference between the two prices is $880: $2075 - $1195 = $880. The ratio between the difference and the original price is roughly 0.736: $880 / $1195 = 0.736. Multiplying that quotient by 100 gives us the percent increase: 0.736 x 100 = 73.6%. Rounded to the nearest whole percent, it becomes 74%.
First, calculate the difference between the new price and the previous price.

            D = $2075 - $1195
  
            D = $880

Then, divide the difference by the original price and multiply the quotient by 100%.

   P = ($880 / $1195) x 100%
  
   P = 73.64%

Answer: 73.64%

When 605,000 is written in scientific notation, what will be the value of the exponent?

Answers

6.05 x 10^5 would be your answer. 

I hope this helps!

Answer:1

10x2

Step-by-step explanation:

Rectangular pool is 7 feet wide. It is 3 times as long as it is wide. Label the diagram with dimensions of the pool.

Answers

1. width=7
2. 7 x 3 = 21
3. length= 21
4. 21 x 7=  147 sq ft 
5. length x width = --- sq ft

is this confusing?
hope it helps!

3Q + 11 + 8q less than 99

Answers

The solution of the inequality 3q + 11 + 8q < 99 is q < 8.

How to solve inequalities?

Inequalities are mathematical expressions involving the symbols >, <, ≥ and ≤.  Therefore, the inequalities can be solved as follows:

3q + 11 + 8q < 99

combine like terms

3q + 11 + 8q < 99

3q + 8q + 11 < 99

11q + 11 < 99

subtract 11 from both sides of the inequalities

11q + 11 < 99

11q + 11  - 11 < 99 - 11

11q < 88

divide both sides of the inequalities by 11

11q / 11 < 88 / 11

q < 8

Therefore,

q < 88

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If it is 4:40 now, what time was it 5 hours and 15 minutes ago?

Answers

the answer is that it would be 11:25
11:25 is the answer.

solve it okayyy

-6d=-24

Answers

4 is the answer
-6 times 4 = -24
d = 4
Steps:
-6d=-24
To find out d we must divide each side by -6:
-6 / -6 cancels out -6 and we are left with d
-24 / -6 = 4
d = 4
We can then plug it back into the problem to see if its correct.
-6(4)=-24
This is correct.

Hope this helps you! (:
-PsychoChicken4040

What are the zeros of the polynomial function f(x)=x^3-13x^2+40x?

Answers

Using a graphing calculator should help you. It's the easiest way

Answer:

X=0,5,8

Step-by-step explanation:

Marley Works how to beat store she has 4 and 3/4 pounds of beads she is making 1/8 lb packages how many packages will she be able to make

Answers

Change the 3/4 to 6/8. So then it will be 4 and 6/8 divided by 1/8= 38

A line contains the points (82,−96) and (87,−86) .

What is the slope of the line in simplified form?



Enter your answer in the box.

Answers

The slope is (change in y)/(change in x)= (y1-y2)/(x1-x2). It doesn't matter which values y1 and x1 are as long as they come from the same point, so we can have (-96-(-86))/(82-87)=-10/-5=2 as the slope

A line contains the points (82,−96) and (87,−86)

To find slope of a line we use formula

We are given with two points (x1,y1) and (x2,y2)

x1= 82, y1=-96, x2=87, y2=-86

plug in all the values in the formula

[tex]slope =\frac{ (y_2-y_1)}{x_2 - x_1}[/tex]

[tex]slope =\frac{ (-86-(-96))}{87-82}[/tex]

[tex]slope =\frac{ (10)}{5}=2[/tex]

Slope of the line = 2

WILL GIVE BRAINLYEST!!


A set of points is graphed below.


Which point(s) would cause the set of points to no longer represent a function? (Select all that apply.)

(1,1)
(5,1)
(-2,5)
(0,2)

Answers

The answers are:

(1, 1) and (0,2)


Please rate and thank : )

Will you still give brainliest please?

Which postulate or theorem proves that these two triangles are congruent?



AAS Congruence Theorem

SAS Congruence Postulate

ASA Congruence Postulate

HL Congruence Theorem

Answers

From the figure,

JHGF is a parallelogram.

From the properties of parallelogram,

∠ F = ∠ H (opposite angles are equal)

FG = JH (opposite sides are equal)

Also, note that FG || JH and JG is a transversal.

Therefore,

∠ FGJ = ∠ GJH (Alternate interior angles are equal)

Now, in Δ FGJ and Δ GJH,

FG = JH

∠ F = ∠ H and

∠ FGJ = ∠ GJH

Hence, the triangles are congruent by AAS Congruence Theorem.


The triangles [tex]\triangle \text{FJG}[/tex] and [tex]\triangle \text{JHG}[/tex] are congruent by [tex]\fbox{\begin\\\ \bf {AAS congruence theorem}\\\end{minispace}}[/tex].

Further explanation:

From the given figure it is observed that there are two triangles [tex]\triangle \text{FJG}[/tex] and [tex]\triangle \text{JHG}[/tex] inside the quadrilateral.

Two triangles are said to be congruent if both the triangles have same angles and sides or it can be said that two triangles are congruent if they completely overlap with each other.

The theorems to check the congruency for the two triangles are as follows:

1) SSS congruence theorem:

As per the SSS congruence theorem if all the three sides of the first triangle are equal to all the three sides of the second triangle then the two triangles are called congruent triangles.

2) SAS congruence theorem:

As per the SAS congruence theorem if the two sides of first triangle are equal to the two sides of the second triangle and the including angles are equal then the two triangles are called congruent triangles.

3) AAS congruence rule:

As per the AAS congruence theorem if the two angles of first triangle are equal to the two angles of the second triangle and the similarly located sides are equal then the two triangles are called congruent triangles.

4) HL congruence rule:

As per the HL congruence theorem if the hypotenuse and the one other side of a triangle is equal to the hypotenuse and the corresponding other side of the second triangle then the two triangles are called congruent triangles.

From the given figure it is observed that [tex]\angle \text{GJH}[/tex] is equal to the [tex]\angle \text{JGF}[/tex], [tex]\angle \text{GHJ}[/tex] is equal to the [tex]\angle \text{GFJ}[/tex] and the side JG is the common side for [tex]\triangle \text{FJG}[/tex] and [tex]\triangle \text{JHG}[/tex].

From figure 1 (attached in the end) it is observed that the [tex]\angle \text{GJH}[/tex] and the [tex]\angle \text{JGF}[/tex] lies on same side, [tex]\angle \text{GHJ}[/tex] and the [tex]\angle \text{GFJ}[/tex] lies on the same side and the side JG is common for the [tex]\triangle \text{FJG}[/tex] and [tex]\triangle \text{JHG}[/tex].  

For triangles [tex]\triangle \text{FJG}[/tex] and [tex]\triangle \text{JHG}[/tex].  

[tex]\fbox{\begin\\\ \begin{aligned}\angle\text{GJH}&=\angle\text{JGF}\\ \angle\text{GHJ}&=\angle\text{GFJ}\\ \text{JG}&=\text{JG}\end{aligned}\\\end{minispace}}[/tex]

So, as per the concept of AAS congruence theorem the two triangles [tex]\triangle\text{FJG}[/tex] and [tex]\triangle\text{JHG}[/tex] are the congruent triangles.

Therefore, the theorem according to which the triangles [tex]\triangle\text{FJG}[/tex] and [tex]\triangle\text{JHG}[/tex] are congruent is [tex]\fbox{\begin\\\ \bf {AAS congruence theorem}\\\end{minispace}}[/tex].

Learn more:  

1. A problem to complete the square of quadratic function https://brainly.com/question/12992613

2. A problem to determine the slope intercept form of a line https://brainly.com/question/1473992

3. Inverse function https://brainly.com/question/1632445

Answer details  

Grade: Middle school  

Subject: Mathematics

Chapter: Congruency

Keywords: Congruency, congruent, congruent triangles, AAS, SSS, SAS, HL, angles, sides, quadrilateral, theorem, postulate, geometry, mathematics, hypotenuse.

PLEASE HELP ME DUE TOMOROW please show the work thanks

Answers

did you understand how I did this?
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