Which Is The Converse Of The Conditional Statement And Is It True Or False? If A Number Is A Whole Number, (2023)

Mathematics High School


Answer 1

If a number is not a rational number, then it is not a whole number. The converse is true.
---> the sentence above is the only one that has true condition, true hypothesis and true conclusion.

You see:
>If a number is not a whole number, then it is not a rational number. The converse is false. ( converse must be true)
>If a number is a rational number, then it is a whole number. The converse is false. (converse must be true)
>If a number is not a rational number, then it is a whole number. The converse is false. (hypothesis should've been "then it is not a whole number")

In the Law of Detachment, if both conditional and hypothesis are true, then the conclusion is true.
All whole numbers are rational numbers.
In the "If-the"n form: If a number is whole, then it is rational.
Given: 5 is a whole number.
Conclusion: 5 is rational.

Answer 2


To form the converse of the conditional statement, interchange the hypothesis and the conclusion.

If a number is a whole number, then it is a rational number.

If a number is a whole number, is hypothesis and then it is a rational number is the conclusion.

So, its converse will be : If a number is a rational number, then it is a whole number. The converse is false.

The converse is true. Because every rational number can be written as a fraction p/q, where p and q are integers. So, if a number is a whole number, it must also be an integer and a rational. ALL whole numbers are rational numbers.

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She would by 3 packages of hot dogs and 2 packages of hot dog buns. This is because 3*8 would be 24 and 12*2 is also 24. These would both be the minimum amount of packages.

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Rocky will earn $4 as extra money that week. Hope it help!

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She walked miles from the bus stop to the aquarium

Step-by-step explanation:

The total distance from Clara's hotel to the Aquarium is miles, this is the sum of all the distances that she have walked and traveled by bus:

Total distance = First Walk + Travel by bus + Second Walk

So for the Second Walk:

Second Walk = Total distance - First Walk + Travel by bus

She walk the rest 1/2 miles to the aquarium. Hope it help!

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Write the quadratic equation in general form. what is the value of b 2 - 4ac? 1 = 2x 2 7x 40 41 57



= 57

Step-by-step explanation:

The general form of the quadratic equation is:


Given the equation:

Subtract 1 from both sides we have;

or we can write this as:

We have to find the

Compare equation with equation [1]

a = 2 , b = 7 and c = -1


Therefore, the quadratic equation in general form is, and the value of is, 57

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To determine the volume of the rhombus, we use the equation,
V = Bh
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For rhombus, the area is calculated through the equation,
B = D₁D₂/2
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Volume calculation:
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Area of rhombus is half of its diagonals' lengths' product. The volume of the specified prism is 384 cubic units.

How to find the area of rhombus from its diagonals' lengths?

Suppose that a rhombus is there with diagonals p and q units, then its area is

Area = pq/2 sq. units.

How to find volume of a right prism?

Volume of a right prism = Bh cubic units, where B is the Base's area and h is its height.

For the given case, we have the base's area as:

B = 6× 8/2 = 24 sq units.

Since height is given to be 16 units, thus,

Volume of considered prism = 24 × 16 = 384 cubic units.

Thus, The volume of the specified prism is 384 cubic units.

Learn more about volume of right prism here:


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67 books will fit on the shelf.


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