NotThatSmart

We can use poportions to solve this problem. 

If 15 members can paint a wall in 45 minutes, then 5 members can paint a wall in \(45*3=135\) minutes.

We multiply by 3 because the less people there are, the more time it the less people there are. 

Now, we multiply by 4 to get 20 members. 

Thus, we must do \(135/4\)

We get that \(135/4=33.75\)

So it takes about 33 minutes and 45 seconds. 

Thanks! :)

First, let's convert each number in the fraction to base 25. 

1 always stays the same. We want to convert 288 into base 25. We get that

\((BD)_{25} = (11 × 25^1) + (13 × 25^0) = (288)_{10}\)

So now, we have that \(\frac{1}{288}_{10} = \frac{1}{BD}_{25}\)

Doing some base division, we find that \(\frac{1}{BD}_{25} = 0.\overline{0.02468ACEGIKN}\)

As shown, the decimals keep repeating, so 1/288 in base 25 is a repeating decimal. 

So our answer is repeating. 

Thanks! :)

Now, first, we can immediately tell something about both numbers. 

Adding the digits of the numbers together, we get that

\(7+0+2+9+3+6=27\) and \(8+4+1+1+3+1=18\)

This means that both integers are divisble by 9. 

We have

\(702936/9=78104\)

\(841131/9=93459\)

However, now note that

The factors of 93459 are \(1, 3, 31153, 93459\)

The factors of 78104 are \(1, 2, 4, 8, 13, 26, 52, 104, 751, 1502, 3004, 6008, 9763, 19526, 39052, 78104 \)

They share no common factors other than 1. 

Thus, our final answer is just \(9*1=9\)

so our answer is 9. 

Thanks! :)

We have to find ABCD, which is a trapezoid. 

A trapezoid's area can be calculated with the equation \(\frac{(b1+b2)h}{2}\) where b1 and b2 are the bases and h is the height. 

We already have all the dimensions given. AB is b1, DC is b2, DQ is the height. 

So, we just plug in all the numbers and we should be set. Note that DQ is 15, as explained earlier. 

So, we have 

\(\frac{(DC+AB)DQ}{2} = (16+34)15/2\\ = \frac{50*15}{2} = 25*15=375\)

So our answer is just 375. 

Thanks! :)

First, let's note that it is impossible for PQCD to be a square. 

We can use a simple calculation trick to find that \(QD = \sqrt{9(9 + 16)} = 15\).

Therefore, PQCD is a rectangle with sidelengths 16 and 15. 

Now, let's find the radius. 

We know the radius is half the diameter. With the dimensions given, we find that

the diameter, AB, is equal to \( 9 + 16 + 9 = 34\)

Thus, the radius is just half that, so we have 

\(\dfrac{34}2 = 17\)

So our final answer is 17. 

Thanks! :)

Let's list out every single factor for each number and identify the factors they share. 

We find that

The factors of 294343 are \(1, 7, 49, 6007, 42049, 294343\)

The factors of 878568 are \(1, 2, 3, 4, 6, 8, 12, 24, 36607, 73214, 109821, 146428, 219642, 292856, 439284, 878568\)

As shown, the only common factor between the two is 1. 

Now, we could also use Euclid's algorithm or prime factorization, but the GCF is just 1. 

So our final answer is 1. 

Thanks! :)

Let's list our all the factors of each number and find if we have any common divisors. 

The factors of 123451 are \( 1, 41, 3011, 123451\)

The factors of 708677 are \(1, 367, 1931, 708677 \)

As shown, the only common factor shared by the 2 numbers are 1. 

Thus, the GCF is just \(1\)

So our final answer is 1. 

Thanks! :)

We can use the latter method to compute for the GCD. 

First, we, note that every number is divisble by 2. Taking the two out, we get

\(18, 52, 11254\)

Dividing by 2 again, we get

\(9, 26, 5627\)

Unfortunately, there are no more common factors among the remaining 3. 

Thus, we have \(2^2 = 4\)

So our final answer is 4. 

Thanks! :)

We can use long division for this problem. 

The first 10 digits are \(13/29 = 0.4482758620\)

So our final answer is 0.4482758620. 

Thanks! :)

This problem was solved before. It should help you a lot.