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sertanlavr [38]
3 years ago
13

Choose all true statements:

Mathematics
2 answers:
leva [86]3 years ago
8 0
<span>1 - All real numbers are rational numbers.   FALSE
All real numbers are NOT rational numbers. The real numbers are made up of rational numbers and irrational numbers.

2 - Some rational numbers are natural numbers. TRUE
All natural number are rational numbers but not all rational numbers are natural numbers. Thus, some rational numbers are natural numbers.

3 - No real numbers are irrational numbers. FALSE
</span><span>The real numbers are made up of rational numbers and irrational numbers. Thus, some real numbers are natural numbers.

4 - All whole numbers are integers. TRUE
The whole numbers are the natural numbers plus 0. The integers comprises of the whole numbers plus the negative of the whole numbers.
Thus, all whole numbers are integers.

5 - Some integers are natural numbers. TRUE
</span>The integers comprises of the whole numbers plus the negative of the whole numbers. <span><span>The whole numbers are the natural numbers plus 0. The natural numbers are the counting numbers, i.e. 1, 2, 3, . . . which are also part of integers.
Thus, some integers are natural numbers.

</span>6 - No rational numbers are integers. FALSE
The rational numbers are made up of the integers and any number that can be expressed as a fraction.</span>
Thus, all integers are rational numbers and some rational numbers are integers.
Andrews [41]3 years ago
3 0

Answer:from top to bottom they go in this order.

2,4,5.

Step-by-step explanation:

got it right in e2020

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Solve the equation using the method of factorisation-
saul85 [17]

Answer:

X = 9,X= -5, a =  2, b = -13

Step-by-step explanation:

For (1),

Using Cross-factorization,

it can be reduced to (X - 9)(X + 5) = 0

Equate each factor to 0:

we have X = 9 and X = -5

For (2),

It is the case of completing the Square,

add 4 so we get the completed square ( we want the form X^2 + 2a + a^2)

(X^2 + 4X + 4) - 9

can be simplified to (X+2)^2 -9

However since we added 4 it means we have to subtract 4

So it becomes (X+2)^2 -9 -4

= (X+2)^2 -13

6 0
3 years ago
A long-distance phone company has a monthly fee of $7.95 and charges a rate of $0.05 per minute. Another long-distance company h
d1i1m1o1n [39]

Answer:

100 minutes

Step-by-step explanation:

Let the number of minutes required for the two Billings to be equal be x.

Now we write this in an equation form.

7.95 + 0.05x = 9.95 + 0.03x

0.05x - 0.03x = 9.95 - 7.95

0.02x = 2

x = 2/0.02 = 100 minutes

At the 100th minute, the amount of Billings would be equal

8 0
3 years ago
Marla has $4.55 in dimes and quarters. If she has 7 more quarters than dimes, how many quarters does she have?
Natalka [10]

Answer:

She have <u>15 quarters</u>.

Step-by-step explanation:

Given:

Marla has $4.55 in dimes and quarters.

Now, to find the quarters she have, if she has 7 more quarters than dimes.

Let the number of dimes be x.

And the number of quarters be 7+x.

As the value of dime = $0.10.

And the value of quarter = $0.25.

So, according to question:

⇒0.10x+0.25(7+x)=4.55

⇒0.10x+1.75+0.25x=4.55

⇒0.35x+1.75=4.55

<em>Subtracting both sides by 1.75 we get:</em>

⇒0.35x=2.8

<em>Dividing both sides by 0.35 we get:</em>

⇒x=8

Thus, the number of dimes = 8.

And the number of quarters = 7+x = 7+8 = 15.

Therefore, she have 15 quarters.

6 0
3 years ago
Which of the fractions is in lowest terms and is equivalent to -1.25
hjlf

Answer:

  The lowest terms equivalent to - 1.25  =  - \frac{5}{4}

Step-by-step explanation:

- 1.25 = - 1\frac{25}{100}

         = - ( 1 × 100 +25) ÷ 100

         =  -( \frac{125}{100} ) × (\frac{5}{5}

        =  - \frac{25}{20}

        =  - (\frac{25}{20}) × (\frac{5}{5}

        =  - \frac{5}{4}

7 0
3 years ago
<img src="https://tex.z-dn.net/?f=%20%7B7%7D%5E%7B2%7D%20%20-%20%203%20%2B%209%20%5Ctimes%208%20%5Cdiv%202%20%5C%5C%20w%20%3D%20
taurus [48]

Answer:

82

Step-by-step explanation:

49 - 3 + 72/2

= 46 + 36

= 82

7 0
3 years ago
Read 2 more answers
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