All categories

3 years ago

5a. A salad bar has five kinds of salad. In how many different ways can you choose two different salads from five?

Mathematics

1 answer:

Charra [1.4K]3 years ago

6 0

Answer:

a) 10 salads

b) 5 Choose 2 and 5 Choose 3 result in the same amount

Step-by-step explanation:

a) ₅C₂ = 5! / (5-2)! 2!

= 5! / 3! 2!

= (5 × 4) / 2

= 10 salads

b) ₅C₃ = 5! / (5-3)! 3!

= 5! / 2! 3!

= (5 × 4) / 2

= 10

You might be interested in

Subtract the rational expression 1/x^2-x-6 - x/x+2.

Aleksandr [31]

Answer:

Step-by-step explanation:

x² - x -6 = x² + 2x - 3x - 3*2

=x(x + 2) - 3(x + 2)

= (x + 2 )(x - 3)

$\frac{1}{x^{2}-x-6}+\frac{x}{x+2}=\frac{1}{(x +2 )(x - 3)}-\frac{x}{x + 2}\\$

$= \frac{1}{(x+2)(x-3)}-\frac{x(x-3)}{(x+2)(x-3)}\\\\=\frac{1-x(x-3)}{(x+2)(x-3)}\\\\=\frac{1-x^{2}+3x}{(x+2)(x-3)}\\\\$

4 0

2 years ago

Let f(x)=5x+5 find f(-1)<br><br>I need your help with this. please help me

Alisiya [41]

$f(x) = 5x+5\\\\f(-1) = 5(-1) +5 = -5+5=0$

5 0

3 years ago

Solve linear equation 1/4 x + 18 = X

Anton [14]

Answer:

Step-by-step explanation:

1 / 4 x + 18 = x

x / 4 + 18 = x

x = x / 4 + 18

x - x / 4 = 18

( 4x / 4 ) - ( x/4 ) = 18

( 4x - x ) / 4 = 18

3x / 4 = 18

3x = 18 * 4

x = ( 18 * 4 ) / 3

= 6 * 4

x = 24

3 0

2 years ago

What is the value of the discriminant, b2 − 4ac, for the quadratic equation 0 = x2 − 4x + 5, and what does it mean about the num

Aleksandr-060686 [28]

So discriminant gives us 3 possibilites connected with result of the equation b^2-4ac. If it is bigger than zero, there are 2 solutions, if answer is exactly 0, then there is one answer and if the number is lower than 0, there are no solutions.

Discriminant of your quadratic equation is (-4)^2-4*1*5=16-20=-4, so there are no solutions.

3 0

3 years ago

Read 2 more answers

What percent of 4 is 1?

Flauer [41]

Lets take 100 and divide it by 4 to get 25, this means that 1 first part of 100 is 25 these means that the porcentage of 1 in 4 is 25%

Hope this helps

8 0

3 years ago