Mathematics High School

## Answers

**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**

Answer:

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.

## Related Questions

Hot dogs come in packages of 8. hot dog buns come in packages of 12. if grace wants to have enough to serve 24 people and have none left over, how many packages of hot dogs and hot dog buns should she purchase?

### Answers

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.

Rocky works in a restaurant for six hours a day and is paid $4 per hour for any extra time worked. if rocky worked 6.25 hours on monday, 6.30 hours on tuesday, 6 hours on wednesday, 6 hours on thursday, and 6.45 hours on friday, how much extra money will rocky earn that week?

### Answers

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

Eric practiced piano and gutiar for a total of 8 hours this week he practiced the piano for one- fourth of that time .how many hours did eric practice the piano this week

### Answers

Eric practices the piano for 2 hour this week. Hope it help!

Elisita writes a poem on a piece of paper that measures 8.5 x 11 inches. find the area of the piece of paper.

### Answers

The area of the piece of paper is 93.5 square inches. Hope it help!

A company discarded a computer system originally purchased for $18,000. the accumulated depreciation was $17,200. the company should recognize a(an): $0 gain or loss. $800 loss. $800 gain. $8,000 loss. $7,200 loss.

### Answers

The amount that is gained/lost by the company is equal to the difference between the accumulated depreciation and original cost of the computer system. That is,

gain/loss = 17,200 - 18,000

gain/loss = -800

Thus, the company lost 800 because it was not able to maximize the usage of the computer system.

During a sale a store offrered a 40% discount on a particular camera that was originally priced a $450after the sale the discount price of the camer was increased by 40% what was the price of the camera after this increase

### Answers

The price of the camera after this increase is $378. Hope it help!

Chuck says that he can draw a cylinder on his polyhedron poster because it has a pair of base that are congruent. is chuck correct explain your reason

### Answers

Chuck will be able to draw a cylinder in the polyhedron because he has a pair of the congruent bases. He may draw circle on the bases and connect the whole circumference of the circle at top and the whole circumference of the circle at the bottom to form the cylinder.

Carla makes 24 pieces of her famous fudge. she decides to make some goodie bags for 3 of her friends. she places 5 pieces of the fudge in each bag. how many pieces does carla keep for herself

### Answers

3 friends 5 pieces each is 15 total

She had 24 pieces -15= 9 pieces left for herself

Byran bought two shirts for 1450 abd a pair of shoes for 29.99 the sales tax was 6% how much did bryan spend?

### Answers

Bryan spent $31.8 for a shoes. Hope it help!

$62.53

2x14.50 + 29.99=58.99x.06=

Answer clara visits the aquarium while on vacation.the acquarium is 2 1/2 miles from her hotel. she walks 1/4 mile to the bus stop , takes the bus for 1 3/4 miles and walks the rest of the way to the squarium

### Answers

Answer:

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!

Alan's dogs have a total of 24 legs (l). if each dog has 4 legs, which equation gives the number of dogs ( d. that alan has?

### Answers

4d = 24 would be the right equation. To double check you would divide both sides by 4 (the number of legs) to find the amount of dogs.

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

### Answers

Answer:

= 57

Step-by-step explanation:

The general form of the quadratic equation is:

....[1]

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

then;

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

A right prism with rhombus bases is shown. the side length of each rhombus is 5 units. the height of the prism is 16 units. the diagonals of each rhombus measure 6 and 8 units. what is the volume of the prism?

### Answers

To determine the volume of the rhombus, we use the equation,

V = Bh

where B is the area of the base and h is the height.

For rhombus, the area is calculated through the equation,

B = D₁D₂/2

Substituting,

B = (6)(8) / 2 = 24 units squared

Volume calculation:

V = (24)(16) = 384 units cubed

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:

brainly.com/question/8565162

A rectangular pyramid has a length of 14 centimeters, a width of 9 centimeters, and a height of 10 centimeters. explain the effect on the volume of each dimension were doubled.

### Answers

The volume of a rectangular pyramid = 1/3 ×Area×height

=1/3×L×W×H

if the dimensions were doubled

therefore,

V=1/3 × (9×2)×(14×2)×(10×2)

=1/3×18×28×20

=3360 cubic centimetres

A rectangular prism has a length of 7 cm, a width of 4 cm, and a height of 212 cm. the prism is filled with cubes that have edge lengths of 12 cm. how many cubes are needed to fill the rectangular prism? enter your answer in the box. to fill the rectangular prism, cubes are needed.

### Answers

The volume of the rectangular prism is found with 7x4x212=5936

The volume of the cube is found with 12x12x12, because all the sides on a cube are equal= 1728

To find how many cubes fir in the rectangular prism, you divide the volumes

5936 divided by 1728= 3.435 when rounded to the nearest thousanth

A random sample of dogs at different animal shelters in a city shoes that 12 of the 60 dogs are puppies

### Answers

1/5th of the dogs are puppies, or 20%, is that what you wanted?

A quadrilateral has 4 right angles and 4 sides of equal length. what is the name of the quadrilateral?

### Answers

A square have four right angles and four sides of equal length.

The answer to your question is a square. A square has all equal sides and 4 right angles

Which number belongs to the solution set of the equation below? 6x=84 A. 12 B. 14 C. 17 D. 8

### Answers

The answer is B

If you divide 84 by 6, you'll get answer 14, so B (:

A garbage truck weighs 10 2/6 tons. after dumping the garbage, the truck weighed 2 1/2 tons. what was weight of garbage?

### Answers

The weight was 7 83/100

10 2/6= Becomes 9 8/6

-21/2= 3/6. -2 3/6

Answer 7 5/6 tons

A bookshelf is 3 1/2 feet long.each book on the shelf is 5/8 inches wide. how many books will fit on the shelf

### Answers

Number of books = 42 / 5/8 (Note 3 1/2 feet = 42 ins.)

= 42 * 8/5 = 336 / 5 = 67.2

67 books will fit on the shelf.