MATHEMATICS
HIGH SCHOOL

Answer:

The number of positive integers less than 100 are the product of three distinct primes will be 4.

What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

A prime number is a positive integer having exactly two factors that are 1 and the number itself. Any number that does not follow this is termed a composite number.

The prime numbers are 2, 3, 5, 7, 11, 13, 17, 19, ... and so on.

If the product of 2, 3, and the other prime number will be

2 x 3 x 5 = 30

2 x 3 x 7 = 42

2 x 3 x 11 = 66

2 x 3 x 13 = 78

2 x 3 x 17 = 102

If the product of 3, 5, and the other prime number will be

3 x 5 x 7 = 105

The number of positive integers less than 100 are the product of three distinct primes will be 4.

More about the Algebra link is given below.

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Answer: Here are your usable prime numbers:

1 2 3 5 7 11 13 17 19 23 29 31 37 41 43 47

1x2x47 = 94, hence there are 14 combos with 1x2xn.

1x3x31 = 93, therefore there are only 9 distinct prime combinations here.

1x5x19 = 95, ergo there are only 5 qualifying combos here.

1x7x13 = 91, so here's 2 more possible combinations.

So there are only 30 combinations using the prime #1 in this particular scenario. Now to start with the only even prime #, #2 to find more combos that suffice these criteria.

2x3x13 is the last one since 2x3x17 = 102.

Therefore there are only 4 possible combos here.

2x5x7 is the only combo that works for the 2x5xn model, so add 1 more.

That is the last 2xnxn model that will work. Now for 3xnxn

3x5x7 yields 105, therefore, it is logically and theoretically impossible for another nxnxn combo to exist ≤ 100.

So to recap this:

1xnxn = 30 combos

2xnxn = 5 combos

3xnxn and higher had 0 combos (for increasing n values).

ANSWER: 35 different COMBOS !!!

1 2 3 5 7 11 13 17 19 23 29 31 37 41 43 47

1x2x47 = 94, hence there are 14 combos with 1x2xn.

1x3x31 = 93, therefore there are only 9 distinct prime combinations here.

1x5x19 = 95, ergo there are only 5 qualifying combos here.

1x7x13 = 91, so here's 2 more possible combinations.

So there are only 30 combinations using the prime #1 in this particular scenario. Now to start with the only even prime #, #2 to find more combos that suffice these criteria.

2x3x13 is the last one since 2x3x17 = 102.

Therefore there are only 4 possible combos here.

2x5x7 is the only combo that works for the 2x5xn model, so add 1 more.

That is the last 2xnxn model that will work. Now for 3xnxn

3x5x7 yields 105, therefore, it is logically and theoretically impossible for another nxnxn combo to exist ≤ 100.

So to recap this:

1xnxn = 30 combos

2xnxn = 5 combos

3xnxn and higher had 0 combos (for increasing n values).

ANSWER: 35 different COMBOS !!!

MIDDLE SCHOOL

How many times larger is 4 x 1013 than 4 x 106?

It is about 9.5 times larger

Hope it helped!

Hope it helped!

4 x 1013 = 4052 and 4 x 106 = 424 so 4052 - 424= 3628 so its 3628 times bigger

MIDDLE SCHOOL

Grayson knits 17 squares on Thursday. He knits 5 more squares each day from Friday through Saturday. How many squares does Grayson have in all by the end of the day on Saturday?

If I'm thinking correctly, he knits 10 more squares. So he has a total of 27 squares by Saturday evening.

MIDDLE SCHOOL

a bell rings every 8 miniutes and another 10 minutes. they both ring together at midnight. what time will they both ring at the same time again

12.40 am is the next time they both ring at the same time

They will ring at the same time again 40 minutes later that is at 0:40.

HIGH SCHOOL

When something is _______________, it means that is has more than one possible meaning or interpretation.

Answer:

ambiguous

Step-by-step explanation:

ambiguity is the term used to characterize any thing or sentence or phrase having more than one possible meaning or interpretation

it is often used to describe the uncertainty of knowing the actual interpretation or meaning of a word