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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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mason deposited 80 in a savings account earning 5% interest, compounded monthly. to the nearest cent, how much interest will he
White raven [17]
Principal, P = $80
monthly interest, i = 5%/12 = 0.05/12
Number of periods, n = 3*12 = 36

Interest earned after three years,
I = P((1+i)^n-1)
=80((1+0.05/12)^36-1)
=12.92 (to the nearest cent.
8 0
4 years ago
Which of the following expressions have the greatest value
rusak2 [61]

Answer:

the Answer is D

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
A rock is thrown and follows the curve given by the equation d = -t2 + 4t + 5, where d is the distance in feet and t is the time
GaryK [48]

Answer:

5 seconds

Step-by-step explanation:

The relationship between "d" and "the ground" is not described. If we assume that "d" is distance above the ground, then the rock will hit the ground when d=0. This gives rise to the quadratic equation ...

-t^2 +4t +5 = 0

-(t -5)(t +1) = 0

t = 5 or t = -1 are solutions. Only the positive solution is useful.

The rock will hit the ground after 5 seconds.

8 0
3 years ago
What is 8.49x10^-7 in decimal form?
vlabodo [156]

8.49 x 10^-7 = 0.000000849

answer

0.0000000849

3 0
4 years ago
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How would adding a score of zero affect the mean and mediam game scores
Nimfa-mama [501]

Answer:

Here is the complete question attached with.

The mean score would decrease more than the median score.

Step-by-step explanation:

The numbers for which we have to find the mean and median are:

60,70,80,80,100

Here the mean, \frac{Sum\ of\ all\ observations}{Number\ of all\ observations} =\frac{60+70+80+80+100}{5} =78

Median,=80 as median is the middle term if the observations are arranged in ascending order.

Now as the question says that we have to add a zero to see its effect.

So adding a zero we have

Mean =\frac{0+60+70+80+80+100}{6} =65

Median = \frac{70+80}{2} =75,as number of observations is even terms so we will add two middle numbers and divide it with 2.

So we can conclude that the mean is having more variation than the median.

Mean shows as variation of 78-65=13 where as Median shows a variation of 80-75=5 only.

So our final answer is option D that is "The mean score would decrease more than the median score."

8 0
3 years ago
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