$\displaystyle{15 \choose 5} = \dfrac{15! }{5! 10!} = \dfrac{15 \cdot 14 \cdot 13 \cdot 12 \cdot 11}{5 \cdot 4 \cdot 3 \cdot 2 \cdot 1} = (15/(5(3))(14/2)(13)(12/4)(11)\\\\= 7(13)(3)(11)=231(13)=3003$

Answer: 3003 ways

8 0

3 years ago

Camacho is buying a monster truck. The price of the truck is xxx dollars, and he also has to pay a 13\%13%13, percent monster tr

fredd [130]

Answer:We will consider the price of the truck to be $x

And the amount of tax in the percentage would be 13%

13/100

= $ 0.13x (this is the actual amount of the tax)

Now we will calculate the total price of the truck =

$x + $ 0.13x

= $ x(1 + 0.13)

Step-by-step explanation:

7 0

3 years ago

HELP ME PLEASE...................................

In-s [12.5K]

The answer would be B

4 0

3 years ago

AB has a midpoint M at (6, 3). If point A is at (-5, -1) & point B is at (2a - 7, b + 7), find the value of b

horsena [70]

$\bf ~~~~~~~~~~~~\textit{middle point of 2 points }
\\\\
A(\stackrel{x_1}{-5}~,~\stackrel{y_1}{-1})\qquad
B(\stackrel{x_2}{2a-7}~,~\stackrel{y_2}{b+7})
\qquad
\left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right)
\\\\\\
\left( \cfrac{(2a-7)-5}{2}~~,~~\cfrac{(b+7)-1}{2} \right)=\stackrel{\stackrel{midpoint}{M}}{(6,3)}\implies \begin{cases}
\cfrac{(2a-7)-5}{2}=6\\[-0.5em]
\hrulefill\\
\cfrac{(b+7)-1}{2}=3\\[0.8em]
(b+7)-1=6\\
b+6=6\\
\boxed{b=0}
\end{cases}$

4 0

4 years ago