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${{{5 \over 8 } + {3 \over 8} } \over 2} = {1 \over 2}$ 

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 = $9.98$