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2 years ago

How many numbers can you make between 0-99 using exactly four 4s and the operations $$ +,−,×,÷?

Mathematics

1 answer:

zlopas [31]2 years ago

6 0

Answer:

Step-by-step explanation:

I find 37 numbers in that range:

{0, 1/16, 1/8, 1/5, 1/3, 1/2, 3/4, 4/5, 1, 5/4, 4/3, 2, 3, 7/2, 15/4, 4, 17/4, 9/2, 5, 6, 7, 8, 9, 12, 15, 16, 17, 20, 24, 28, 32, 36, 48, 60, 64, 68, 80}

For these numbers we have used only the indicated operations. No minus signs were used.

_____

Additional comment

Of the 320 ways the numbers can be combined, 15 result in division by zero. Many other results are outside the 0-99 range of interest. In total, there are 56 unique rational results.

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Perry currently has $180 dollars and is spending $6 per day nick has no money but is earning $8 each day after how many days wil

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After 12.86 days Nick and Perry will have the same amount of money

Step-by-step explanation:

Perrie's can be expressed as;

Total amount Perry will have after t days=Initial amount Perry has-Total amount Perry spends

where;

Initial amount that Perry has=$180

Total amount Perry spends=Amount he spends per day×Number of days=(6×t)=6t

Replacing in the expression;

Total amount Perry will have after t days=(180-6t)

Nick's can be expressed as;

Total amount Nick will have after t days=Initial amount Perry has+Total amount Nick earns

where;

Initial amount that Nick has=$0

Total amount Nick earns=Amount he earns per day×Number of days=(8×t)=8t

Replacing in the expression;

Total amount Nick will have after t days=(0-8t)=8t

Equating Total amount Nick will have after t days to Total amount Perry will have after t days;

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3 years ago

My teacher wouldn't help me.. and this is my last question. I need to know how to find the perimeter of the geometric figure (it

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This isn't really a geometry problem. It's just an addition of fractions.

You know that 'perimeter' means 'the distance all the way around'.
And you know the length of all the sides of the parallelogram.
All you need to do is add them up !

(13/12) + (3/13) + (13/12) + (3/13) = the perimeter

Notice that two of the sides are equal, and the other two sides are also equal.
So you can make the job a little easier if you add up the twelfths first

(13/12) + (13/12) = 26/12

and then add up the thirteenths ...

(3/13) + (3/13) = 6/13 .

Now, the perimeter looks a little bit less complicated.
It's just
(26/12) + (6/13) = the perimeter.

This is the tough part. Before you can add fractions, they need to have
a common denominator.

The smallest common denominator for 12ths and 13ths is 156 !
Change each fraction to (something over 156), and add um up.
I'll leave that part to you.

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