BuilderBoi

\({{{5 \over 8 } + {3 \over 8} } \over 2} = {1 \over 2}\) 

This means that Mary read \(1 \over 2\)of the two books.

the 51st letter is a

the 102nd letter is z

the 2091st letter is a

the 2101st letter is j

i think...

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wins = \(2 + 2n\)

losses = \(13 + n\)

This means the equation is \({{2 + 2n} \over 13 + n} = 0.4\)

Multiply each side by \(12 + n \):

\(2 + 2n = 5.2 + 0.4n\)

Subtract \(2\) from both sides:

\(2n=3.2+0.4n\)

Subtract \(0.4n\) from both sides:

\(1.6n=3.2\)

Divide each side by \(1.6 \):

\(n=2\)

This means that after \(2\) weeks, they would have won \(40\)% of their games. 

There are 64 ways for the product of a 4-digit number to equal 24

6 x 4 x 1 x 1 = 12 numbers

6 x 2 x 2 x 1 = 12 numbers

4 x 3 x 2 x 1 = 24 numbers

8 x 3 x 1 x 1 = 12 numbers

3 x 2 x 2 x 2 = 4 numbers

Add all of them up, and you get 64.

12 = \(2 \over 3\)

6 = \(1 \over 3 \)

So, the answer is 6.

2 people: 8 choose 2 = 28 ways

3 people: 8 choose 3 = 56 ways

4 people: 8 choose 4 = 70 ways

5 people: 8 choose 5 = 56 ways

6 people: 8 choose 6 = 28 ways

7 people: 8 choose 7 = 8 ways

8 people: 8 choose 8 = 1 way

Add all the possibilities up, and you get 247.

160 x 1.03 = $164.80

There would be 8 options for the first day, 7 for the second, 6 for the third, and so on... So 8x7x6x5x4x3x2. However, since the fruits are indistinguishable, we have to divide by 3!x2!x2!.

This gives us: \({{8*7*6*5*4*3*2} \over 3!2!2! } = 420\) ways.

Add up the amount of fabric:

\(2 {1 \over2} + 1 {3 \over 4} = 4 {1 \over4}\)

Subtract the total amount from 3:

\(4 {1 \over4} - 3 = 1 {1\over 4}\)

This means that she needs an extra \(1 {1\over 4}\) yards of fabric.

To find the total cost, do \(1 {1\over 4} * $7.98 = $9.98\)