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defon
3 years ago
14

Prove the following statement is true by providing an example.

Mathematics
1 answer:
WARRIOR [948]3 years ago
4 0

Answer:

The statement "There is an integer that is divisible by 6 and is also divisible by 8, but is not divisible by 48." is true.

Step-by-step explanation:

Consider the provided information.

We need to prove that there exist an integer that is divisible by 6 and is also divisible by 8, but is not divisible by 48 with the help of an example.

The prime factors of the number 6 is:

6 = 2 × 3

The prime factors of the number 8 is:

8 = 2 × 2 × 2

Now the Least Common Multiple of the number 6 and 8 is:

2 × 2 × 2 × 3 = 24

Since, it is clear that the number 24 is divisible by 6 and 8 but the number is not divisible by 48.

There exist infinite numbers which can be divisible by 6 and 8 but not divisible by 48.

All the odd multiples of 24 are divisible by 6 and 8 but all the odd multiples of 24 are not divisible by 48.

For example:

24 × 3 = 72 (The number is divisible by 6 and 8 but not divisible by 48.)

24 × 5 = 120 (The number is divisible by 6 and 8 but not divisible by 48.)

Hence, the statement "There is an integer that is divisible by 6 and is also divisible by 8, but is not divisible by 48." is true.

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Is 4 m equal to 400 dm plz answer i need help ill friend you!
luda_lava [24]

Answer:

No

Step-by-step explanation:

1 meter = 10 decimeters

So, 4 meters = 40 decimeters

4 * 10 = 40

7 0
3 years ago
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Is 1.36 a rational number or irrational number
elena-s [515]

Answer:

No an irrational number

Step-by-step explanation:

An irrational number is a number that cannot be expressed as a fraction of two integers . -1.36 can be expresed as -136/100

5 0
3 years ago
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cho went on a bike ride at 3:15 p.m after 45 minutes she comes to a stop. what time does she stop riding at?
rjkz [21]

Answer:

4:00

Step-by-step explanation:

4 0
3 years ago
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Points X, Y, and Z are colinear.<br> X<br> What is the slope of YZ in simplest form?
DIA [1.3K]

Based on the calculations, the slope of line YZ in simplest form is equal to 2.

<h3>How to determine the slope of YZ?</h3>

Mathematically, the slope of a straight line can be calculated by using this formula;

Slope, m = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope, m = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}

Since points X, Y, and Z are collinear, we can deduce that the line passes through line Z at 6 units form the origin and 3 units for Y from the origin.

Substituting the parameters into the formula, we have;

Slope, m = \frac{6\;-\;0}{3\;-\;0}

Slope, m = 6/3

Slope, m = 2.

Read more on slope here: brainly.com/question/17601248

#SPJ1

6 0
2 years ago
Explain how you know that -5 and 1/5 are multiplicative inverses.
lukranit [14]
Hey!

We know that if we see a number that apparently doesn't have a denominator, we can plug a "1" as a denominator because it's a whole number, for example, we could write.
-5= -\frac{5}{1}
Finding the inverse would be taking the reciprocal of it, that implies switching the fractions, the signs would change too, so, this would mean that the reciprocal of -\frac{5}{1} would be,
\frac{1}{5}

Using Math, we can verify this is correct. To do that, we would have to use exponents.
\frac{1}{5}^{-1} =5

Thanks!
-TetraFish
8 0
4 years ago
Read 2 more answers
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