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3 years ago

What is the smallest integer greater than 237 for which each digit of the integer is a prime number?

Mathematics

2 answers:

Nesterboy [21]3 years ago

6 0

I think the answer is 252 because it is the next possible number with all its digits being a prime number

artcher [175]3 years ago

6 0

Answer:

252

Step-by-step explanation:

Here's how I would argue.

Let the three digits be a, b, and c,

Then the number is abc.

Assume a = 2 and b= 3.

Then c cannot be 8, 9, or 0, because they are not prime numbers.

b cannot equal 4 (not prime), so

Assume that b = 5 (prime).

a cannot be 0 or 1 (not prime), but it can equal 2 (prime).

abc = 252

Thus, 252 is the smallest integer greater than 237 for which each digit is a prime.

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The town recreation department ordered a total of 100 baseballs and bats for the summer.Baseballs cost $4.50 each and bats cost

Romashka [77]

Answer:

The town recreation department ordered 66 baseballs and 24 bats.

Step-by-step explanation:

Let the number of baseball be 'x'.

Also Let the number of bats be 'y'.

Given:

Total items bought = 100

Now we can say that;

Total items bought is equal to sum of number of baseball and number of bats.

Framing in equation form we get;

$x+y =100 \ \ \ \ equation \ 1$

Also Given:

Cost of each baseball = $4.50

Cost of each bat = $20

Total purchase = $822

Now we can say that;

Total Purchase is equal to to sum of number of baseball multiplied by Cost of each baseball and number of bats multiplied by Cost of each bat.

framing in equation form we get;

$4.5x+20y =822 \ \ \ \ equation\ 2$

Multiplying equation 1 by 4.5 we get;

$4.5(x+y) =100\times4.5\\\\4.5x+4.5y = 450 \ \ \ \ equation \ 3$

Now Subtracting equation 3 from equation 2 we get;

$(4.5x+20y)-(4.5x+4.5y) = 822-450\\\\4.5x+20y-4.5x-4.5y =372\\\\15.5y = 372$

Dividing both side by 15.5 we get;

$\frac{15.5y}{15.5}= \frac{372}{15.5}\\ \\y =24$

Substituting the value of y in equation 1 we get;

$x+y =100\\\\x+24 =100\\\\x =100-24 =66$

Hence the town recreation department ordered 66 baseballs and 24 bats.

5 0

3 years ago