Part 1 - Application
Give a convincing argument with logical explanations that the contrapositive of a conditional is the
same as the converse of the inverse of the conditional

Answers

Answer 1

Answer:

see explanation. (I did this exact assignment this morning, and this is very similar to what I submitted)

Step-by-step explanation:

The contrapositive of a conditional is the same as the converse of the inverse of the conditional.

The best way to prove/support this statement is to create an example. You should start by creating a conditional; you can then form the conditional's converse, inverse, and contrapositive. Here is an example:

Conditional: If C, then D. (starting statement)

Converse: If D, then C. (conditional reversed)

Inverse: If not C, then not D. (opposite of the conditional)

Contrapositive: If not D, then not C. (reversed opposite of the conditional)

Based on the information from the example you gave, you can conclude:

The converse of the inverse: If not D, then not C. (reversed opposite of the conditional)

Because: The converse is the conditional reversed (If D, then C). The inverse of the converse, in this case, would then make it the opposite (If not D, then not C).

I have not yet received a grade on this assignment, but I know the information is correct; the amount of explanation you need to give really depends on how your teacher grades. Personally, I just submitted an example (similar to the one above) that was color-coded to help show the different parts of each statement.

I hope this helps! :)


Related Questions

solve the equation: 0.65 = 0.5c

Answers

Answer:

=1.3

Step-by-step explanation:

Combine multiplied terms into a single fraction

0

.

6

5

=

0

.

5

0.65=0.5c

0.65=0.5c

0

.

6

5

=

1

2

0.65=\frac{1c}{2}

0.65=21c​

2

Multiply by 1

3

Multiply all terms by the same value to eliminate fraction denominators

4

Cancel multiplied terms that are in the denominator

5

Multiply the numbers

6

Move the variable to the left

Solution

=1.3

Answer:

c = 1.3

Step-by-step explanation:

0.65 = 0.5c ( divide both sides by 0.5 )

[tex]\frac{0.65}{0.5}[/tex] = c , that is

c = 1.3

Jake bought cupcakes for his sister's birthday party. 33 out of the 44 cupcakes had sprinkles on top. What percentage of the cupcakes had sprinkles?

Write your answer using a percent sign (%).

Answers

The answer is 15% because the 33 cupcakes only had sprinkles on them

Determine the mystery decimal number from the clues listed.

Clue 1: between 2/5 and 3/5

Clue 2: greater than 1/2

Clue 3: a multiple of 0.11

Answers

Answer:

.55

Step-by-step explanation:

3/5 = 0.6

1/2 = 0.5

it has to be in between these two numbers

5 x 0.11 = 0.55

Answer:

Step-by-step explanation:

It is between 0.4 and 0.6

It is greater than 1/2. That means that the starting point is 0.5 to 0.6

The final clue should nail it. It is a multiple of 0.11. That means it is 0.55. One possible answer is 11/20

What is the rule when you add a negative number and positive number?

Answers

Answer:

a negative plus positive equals a negative-

Answer:

"To find the sum of a positive and a negative integer, take the absolute value of each integer and then subtract these values. The result takes the sign of the integer with the larger absolute value. The sum of any integer and its opposite is equal to zero."

Step-by-step explanation:

Simpler Explanation: If you add a positive number with a negative number, the sign (negative/positive) of the sum is the same as the integer (number) with the largest absolute value. For example;

1. 10 + -12 = -2

Here, the sum has the same sign (negative) as the largest number in the equation (-12).

2. 7 + -3 = 4

Here, the sum has the sign (positive) as the largest number in the equation (7).

8/5 minus 1/6 their are four answers 22/15 43/30 1/6 or 48/30

Answers

Answer:

43/30

Step-by-step explanation:

Draw the graph of y=3-1/2x HELP

Answers

I hope this helps you!!!! :)

Twenty-eight slices of pizza cost $12. Approximately how much would 70 slices cost?

Answers

Answer:

$30.

Step-by-step explanation:

70/28 = 2.5

12 x 2.5 = 30

Two cars that are 150 miles apart start driving toward each other on parallel roads. The average speed of the first car is 60 miles per hour. The average speed of the second car is 55 miles per hour. Which equation can be used to determine t, the time it takes for the two cars to pass each other?A table showing Rate in mile per hour, Time in hours, and Distance in miles. The first row shows First Car and has 60, t, and 60 t. The second row shows Second Car and has, 55, t, and 55 t.60t – 55t = 060t + 55t = 160t + 55t = 15060t – 55t = 150

Answers

Answer:

your equation should be 60t + 55t =150

Answer:

The answer is C!

Step-by-step explanation:

if f(x)=3x-1 and g(x)=x+2,find (f+g)(x)

Answers

Answer:

(f + g)(x) = 4x + 1

Step-by-step explanation:

Given f(x) = 3x - 1 and g(x) = x + 2, find (f + g)(x):

We can rewrite (f + g)(x) as f(x) + g(x), and solve the composite functions through addition:

f(x) + g(x) = (3x - 1) + (x + 2)

Combine like terms:

f(x) + g(x) = 3x + x + 2 - 1 = 4x + 1

Therefore, (f + g)(x) = 4x + 1.

Please mark my answers as the Brainliest if you find my explanations/solution helpful :)

could someone please help answer this, please no spam, will give brainliest, thank you!
(homework help)

Answers

Answer:

[tex]x>-5[/tex]

Step-by-step explanation:

[tex]\frac{-1}{5} x+1<2[/tex]

Subtract 1 from both sides

[tex]\frac{-1}{5} x+1-1<2-1[/tex]

Simplify

[tex]\frac{-1}{5} x<1[/tex]

Multiply both sides by -1, which reverses the inequality also

[tex]\frac{-1}{5} x(-1)>1(-1)[/tex]

Simplify

[tex]\frac{1}{5} x>-1[/tex]

Multiply both sides by 5

[tex]5*\frac{1}{5} x>5(-1)[/tex]

Simplify

[tex]x>-5[/tex]

Line segment JK has endpoints J(2,-3) and K(-4,6). what are the coordinates of the midpoint of JK

Answers

Answer:

The midpoint is (-1, 1.5)

Step-by-step explanation:

To find the x coordinate of the midpoint, average the x coordinates of the endpoints

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

To find the y coordinate of the midpoint, average the y coordinates of the endpoints

(-3+6)/2 = 3/2 = 1.5

The midpoint is (-1, 1.5)

a regular pentagon is divided into 5 isoscleles triangles work out the size of angle x angle y angle z

Answers

Answers:

x = 72

y = 54

z = 54

================================================================

The regular pentagon has all five sides the same length. It also has all interior angles the same measure. This leads to y = z. These two angles are the congruent base angles of the isosceles triangle. The base angles are opposite the congruent sides.

The fact that we have a regular pentagon also means that the five triangles shown are identical copies of one another (i.e. they are congruent triangles). Divide the full 360 degree rotation into 5 parts to get 360/5 = 72, which represents the measure of the central angle x.

--------------

For any triangle, the three angles always add to 180. This means,

x+y+z = 180

72+y+z = 180 .... plug in x = 72

72+y+y = 180 ... recall that y = z

2y+72 = 180

2y = 180-72

2y = 108

y = 108/2

y = 54, which is also the measure of angle z as well

--------------

As a quick check,

x+y+z = 72+54+54 = 180

which helps confirm the answer.

At a department store, a woman's total was $284.00 for 7 items.

Answers

Answer:

40.5714

Step-by-step explanation:

Based on the given conditions, formulate: 284 ÷ 7

Evaluate the equation/expression: 40.5714

get the result: 40.5714

Answer: 40.5714

How do you solve 32÷1440 using long division?

Answers

Answer:

720 that i got answer but i´ll explain it soon

Step-by-step explanation:

I’m pretty sure this is the answer

solve by substitution.
5x-3y=-4
x+y=-4

Answers

Answer:

x=-2,y=-2

Step-by-step explanation:

x+y=-4

x=-4-y--(3)

substitute (3) in (1)

5(-4-y) -3y=-4

-20-5y-3y=-4

-8y=16

y=16/-8

y=-2

substitute y in (3)

x=-4-(-2)

x=-2

Write 315 as a product of primes.

Answers

Answer:

3*3*5*7

Step-by-step explanation:

hope it helps you out

please mark brainiest

Answer:

315 = 5*3*7*3

Step-by-step explanation:

What is the answer for 3 4/8 + 1 1/4 + 4/6 in simplest form?

Answers

Answer:

5 5/12

Step-by-step explanation:

hoffe das hilft

Ed receives a tax refund of 37.50. He spends 2/3 of his refund on clothing. He divides the rest among his 5 children. How much money does he give each child?

Answers

Answer:

He gave 2.50$ to each of his children

Step-by-step explanation:

Answer:

Each child got $2.50

Evaluate the expression when b=-5 and c=7
b-3c

Answers

Answer:

b=5 should be the correct answer

Answer:

-26

Step-by-step explanation:

b = -5 and c = 7, Plug in:

b - 3c

-5 - 3(7)

-5 - 21

-26

Hopefully this helps!

Brainliest please?

What is value of 4 to the power of negative 3

Answers

Answer:

[tex]\frac{1}{64}[/tex]

Step-by-step explanation:

Using the rule of exponents

[tex]a^{-m}[/tex] = [tex]\frac{1}{a^{m} }[/tex]

and 4³ = 4 × 4 × 4 = 16 × 4 = 64

Then

[tex]4^{-3}[/tex] = [tex]\frac{1}{4^{3} }[/tex] = [tex]\frac{1}{64}[/tex]

Answer:

0.015625

uokcdjnjhxfukbgy

8. Bir doğru parçasının yuvarlak uzunluğu 7 cm dir. a) Doğru parçasının en küçük uzunluğu kaç cm olabilir? b) Doğru parçasının en büyük uzunlugu kaç cm olabilir?Aciillll​

Answers

Answer:

yfyffyfyfyg

Step-by-step explanation:

xgsxfuftuxfyfjfyfyfyffyfyfygyfdtdtdhfgjhtuydxfyyxff

State whether the percent of change is a percent
of increase or a percent of decrease. Then and the
percent of change. Round to the nearest whole
percent.
original: 54 new: 45

Answers

Answer:

percentage decrease

16.7 percentage of change

What exactly is this? 2+6x = 1-x

Answers

X=-1/7 i hope this helped answer ur questions

Answer Please !!!!!!!!!!!!!!!!!!!!!!!

Answers

Step-by-step explanation:

I can't draw here, but I can describe :

an isoceles triangle means that 2 sides of the triangle are equally long (they are typically called the "legs" left and right on top of the baseline).

this fact makes the triangle symmetrical.

and that means that 2 angles are also equal (the angles of the legs with the baseline).

so, knowing that one angle is 34 degrees can mean 2 things :

either 34 degrees is the angle between the 2 legs, or it is one of the 2 equal angles between legs and baseline.

as we know the sum of all angles in a triangle is always 180 degrees.

so case 1 : 34 degrees is the angle between the legs

180 = 34 + 2×base-leg-angle

144 = 2×base-leg-angle

each base-leg-angle = 72 degrees

case 2 : 34 degrees is one of the base-leg-angles

180 = 2×34 + between-the-legs-angle

180 = 68 + between-the-legs-angle

between-the-legs-angle = 112 degrees

so, you need to draw one triangle for each case.

since we don't know anything about the side lengths, size does not matter. only the angles need to be correct :

one triangle with 34, 72, 72 degrees

and one triangular with 34, 34, 112 degrees

Which number equals 3/4 to the power of negative 2?

Answers

Hi,

I just worked it out and got 16/9

Hope this helps !
16/9
-4*-4=16
-3*-3=9
This should be correct

2.75 mi+3 mi+ 2.5 mi =?

Answers

Answer: 8.25mi

Step-by-step explanation:

Just add them all together

8.25 mi

Step-by-step explanation:

2.75 mi + 3 mi + 2.5 mi

= (2.75 + 3 + 2.5)mi

= (5.75 + 2.50)mi

= 8.25 mi

LCD of the fractions below

1/3 And 5/8

Answers

Answer:

24

Step-by-step explanation:

LCD = 24

Equivalent Fractions with the LCD

1/3 = 8/24

5/8 = 15/24

The larger of two numbers is 15 more than three times the smaller number. If the sum of the two numbers is 63, find the numbers. ​

Answers

Answer:

Let x = the smaller number

Let 3x + 15 = the larger number

x + 3x + 15 = 63

4x = 48

x = 12

3(12) + 15 = 51

Step-by-step explanation:

Quick question for you whats 1+3-4x0÷4+3-1+9÷4

Answers

Answer:

8.25

Step-by-step explanation:

At midnight, the temperature was 31.2°F. In the morning, the temperature was −6.7°F. Which statement describes the temperatures?

At midnight, the temperature was 31.2 degrees above 0, and in the morning, it was 6.7 degrees lower.
At midnight, the temperature was 31.2 degrees below 0, and in the morning, it was 6.7 degrees higher.
At midnight, the temperature was 31.2 degrees above 0, and in the morning, it was 6.7 degrees below 0.
At midnight, the temperature was 31.2 degrees below 0, and in the morning, it was 6.7 degrees above 0.

Answers

Answer:

The third statemnet

Step-by-step explanation:

I say the third statement is correct because it says its 31.2 degrees above 0 which is positive. Also it says in the morning it was 6.7 below 0 which is negative which equlas-6.7. So that is why statement 3 is the correct answer.

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