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dezoksy [38]
2 years ago
9

Which numbers below are integers but not natural numbers? 1, - 5.41,3root12, 0, -3, -9/7,23

Mathematics
1 answer:
m_a_m_a [10]2 years ago
8 0

Answer:

0 and -3

Step-by-step explanation:

Natural numbers are all whole numbers from 1 to infinity. i.e

1, 2, 3, 4 . . .

These numbers do not include 0.

Integers are all whole numbers (positive and negative) including 0. i.e

. . ., -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, . . .

These numbers are all natural numbers including their negative counterparts (i.e negatives of the natural numbers) and also 0.

<em>So from the options in the question:</em>

1 is a natural number as well as an integer

-5.41 is not a natural number neither is it an integer.

3 root 12 (written as 3\sqrt{12}) is neither a natural nor an integer number.

0 is an integer but not a natural number

-3 is an integer but not a natural number

-9/7 is neither a natural nor an integer number.

23 is a natural number as well as an integer

Therefore, 0 and -3 are integers but not natural numbers

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Answer:

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Step-by-step explanation:

To solve this problem you need to create a system of equations. In these equations, use a = 2-seated car and b = 4- seated car

The first equation that you can make can be a + b = 25 because the number of 2-seated cars plus the number of 4-seated cars is going to equal a total of 25 cars.

The next equation you can make is 2a + 4b = 70 because the number of seats provided by the 2-seated cars plus the number of seats provided by the 4-seated cars will equal 70 total seats.

Next, line up the equations and solve:

Step one: Line up the equations

                a +  b = 25

             2a + 4b = 70

Step two: Multiply the top equation by -2 so that you can add both of                                        the equations together

             -2(a) + -2(b) = 25(-2)   ⇒   -2a - 2b = -50

                2a +    4b = 70         ⇒    2a + 4b = 70

Step three: Add the equations

               -2a - 2b = -50

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            ______________

                         2b = 20

Step four: Divide both sides by 2 in order to solve for b

                2b = 20 ⇒ b = 10  

Because b represents the number of 4-seated cars, you now know that there are 10 4-seated cars on the ride.          

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