Ask question

Ask question

All categories

4 years ago

15

How many possibilities are there for the win, place, and show (first, second, and third) positions in a horse race with 12 horse

s if all orders of finish are possible?

1 answer:

Svetach [21]4 years ago

3 0

=)=)=)=)=)=)=)=)=)=)=)=)=)=)=)=)=)=)=)=)=)=)=)=)=)=)=)=)=)=)=)=)

You might be interested in

Adult tickets for the school musical are sold for $3.50 and student tickets are sold for $2.50 on a given night 425 tickets were

miskamm [114]

Answer:

3.5x + 2.50y = 1237.50

425 = x + y

Step-by-step explanation:

number of adult tickets: x

number of student tickets: y

3.5x + 2.50y = 1237.50

( value of adult ticket [3.50]* number of adult tickets [x]) + (value of student ticket [2.50] * number of student tickets [y]) = total value (1237.50)

425 = x + y

(number of adult tickets [x]) + (number of student tickets [y]) = total (425)

7 0

3 years ago

A local sorority sold hot dogs and bratwursts at the spring fling picnics. The first day they sold 8 dozen hot dogs and 13 dozen

kicyunya [14]

Answer:

1 hot dog costs $0.75

1 bratwurst costs $1.35

Step-by-step explanation:

Let x and y be the price per dozen of hot dogs and bratwursts respectively.

The first day they sold 8 dozen hot dogs and 13 dozen bratwursts for $282.60

8x + 13y = 282.60

The second day they sold 10 dozen hot dogs and 15 dozen bratwursts for a total of $333.00

10x + 15y = 333

and we have the linear system

<em>8x + 13y = 282.60 </em>

<em>10x + 15y = 333 </em>

which can be written in matrix form as

$\bf \left(\begin{array}{cc}8&13\\10&15\end{array}\right)\left(\begin{array}{c}x\\ y\end{array}\right)=\left(\begin{array}{c}282.60\\333\end{array}\right)$

The solution would be given by

$\bf \left(\begin{array}{c}x\\ y\end{array}\right)=\left(\begin{array}{cc}8&13\\10&15\end{array}\right)^{-1}\left(\begin{array}{c}282.60\\333\end{array}\right)$

We have

$\bf \left(\begin{array}{cc}8&13\\10&15\end{array}\right)^{-1}=\left(\begin{array}{cc}-3/2&13/10\\1&-4/5\end{array}\right)$

hence

$\bf \left(\begin{array}{c}x\\ y\end{array}\right)=\left(\begin{array}{cc}-3/2&13/10\\1&-4/5\end{array}\right)\left(\begin{array}{c}282.60\\333\end{array}\right)=\left(\begin{array}{c}9\\ 16.2\end{array}\right)$

Now,

if a dozen hot dogs cost $9, 1 hot dog costs 9/12 = $0.75

if a dozen bratwursts cost $16.2, 1 bratwurst costs 16.2/12 = $1.35

4 0

3 years ago

Q-The circumference of the circle is also sometimes called:

Lelu [443]

Perimeter or diameter

3 0

3 years ago

the area of a square poster is 30 in square. Find the length of one side of the poster to the nearest tenth of an inch

insens350 [35]

Answer:

x = 5.5 (nearest tenth)

Step-by-step explanation:

let x be the length of 1 side

given area of square poster is 30 in²

and

Area = (length of 1 side )²

hence

30 = x²

x = √30

x = 5.4772

x = 5.5 (nearest tenth)

6 0

4 years ago

If you buy something at a 20% discount off the listed price of $ 97, but pay a sales tax of 10% after the discount is applied, h

kaheart [24]

$85.36 is the correct answer

8 0

3 years ago