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cupoosta [38]
3 years ago
9

Write one digit on each side of 23 to make a four digit multiple of 72. How many different solutions does this problem have?

Mathematics
1 answer:
user100 [1]3 years ago
5 0

Answer:

This problem has two possible solutions.

2232

7236

Step-by-step explanation:

To be divisible by 72, a number has:

To be divisible by both 8 and 9 at the same time.

It is divisible by 8 if it's last two digits are divisible by 4.

It is divisible by 9 it the sum of it's digits is a number divisible by 9.

a23b

3b must be divisible by 4. In the thirties, the numbers that are divisible by 4 are 32 and 36. So b = 2 or b = 6.

a232

2 + 3 + 2 = 7

The higest possible value of a is 9 and the lowest is 1.

Between 8 and 16, only 9 is divisible by 9. So a = 2.

a = 2, b = 2 is one of the solutions.

a236

2 + 3 + 6 = 11

The higest possible value of a is 9 and the lowest is 1.

Between 12 and 20, only 18 is divisible by 9. So we need a = 7

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slega [8]

Answer:

$31.50

Step-by-step explanation:

First, converting R percent to r a decimal

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then, solving our equation

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The simple interest accumulated

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2 years ago
it takes Joey 1/16 of an hour to write one Thank you card how many cards can he write in 3/4 of an hour?
bearhunter [10]

To solve this problem you will need to use the cross product method:

1/16 of an hour → write 1 card

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Joey can write 12 Thank you cards in 3/4 of an hour.


There you go! I really hope this helped, if there's anything just let me know! :)

3 0
3 years ago
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Agata [3.3K]
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6 0
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The number of pieces of popcorn in a large movie theatre popcorn bucket is normally distributed, with a mean of 1610 and a stand
romanna [79]

Answer:

A

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Our range is:

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