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3 years ago

10

Use: Ck = k! (n-k)!

1 answer:

Arlecino [84]3 years ago

5 0

Answer:

3 ways.

Step-by-step explanation:

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

In this question:

2 meats from a set of 3(steak, fish or chicken). So

$C_{3,2} = \frac{3!}{2!1!} = 3$

3 ways.

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I need help asap!!!!

kolbaska11 [484]

Answer:

24: x = 31

25: x = 15

Step-by-step explanation:

Remark

24 is supplementary which means that the two angles add to 180o which is on the right hand side of the equation

25 is complementary which means that the two angles add to 90o which is on the left hand side of the equation

Twenty Four

3x + 31 +2x - 6 = 180 Collect the like terms

3x +2x + 31 - 6 = 180 Do the adding and subtracting.

5x + 25 = 180 Subtract 25 from both sides

5x + 25 - 25 = 180 - 25

5x = 155 Divide by 5

x = 155/5

x = 31

Check

3x + 31 = 3*31 + 31

3x + 31 = 93 + 31

3x + 31 = 124

2x - 6 = 2*31 - 6 = 62 - 6 = 56

Total 124 + 56 = 180 as it should.

Twenty Five

Equation

3x+ 4x - 15 = 90

Solution

7x - 15 = 90 Like terms have been collected on the left.

7x = 90 + 15 15 was added to both sides

7x = 105 Divide by 7

x = 15 I'll leave the check to you

5 0

3 years ago

A triangle is reduced. What is the perimeter of the reduced triangle, in inches.

algol13

Answer:

the perimeter is 36

Step-by-step explanation:

8 0

3 years ago

Solve 9(t-7)=u for t<br> Show all solving steps.

Gwar [14]

$\begin{gathered}\\ \sf\longmapsto 9(t-7)=u\end{gathered}$

$\begin{gathered}\\ \sf\longmapsto 9t-63=u\end{gathered}$

$\begin{gathered}\\ \sf\longmapsto 9t=u+63\end{gathered}$

$\begin{gathered}\\ \sf\longmapsto \frac{9t}{9}=\frac{u+63}{9}\end{gathered}$

$\begin{gathered}\\ \sf\longmapsto t=\frac{u+63}{9} \end{gathered}$

$\begin{gathered}\\ \sf\longmapsto t=\frac{u}{9}+7\end{gathered}$

3 0

3 years ago

Read 2 more answers

2x2 – 5x + 67 = 0<br> What would be your first step in completing the square for the equation above?

7nadin3 [17]

Answer:

The first step is to divide all the terms by the coefficient of $x^{2}$ which is 2.

The solutions to the quadratic equation $2x^2\:-\:5x\:+\:67\:=\:0$ are:

$x=\frac{5}{4}+i\frac{\sqrt{511}}{4},\:x=\frac{5}{4}-i\frac{\sqrt{511}}{4}$

Step-by-step explanation:

Considering the equation

$2x^2\:-\:5x\:+\:67\:=\:0$

The first step is to divide all the terms by the coefficient of $x^{2}$ which is 2.

so

$\frac{2x^2-5x}{2}=\frac{-67}{2}$

$x^2-\frac{5x}{2}=-\frac{67}{2}$

Lets now solve the equation by completeing the remaining steps

Write equation in the form: $x^2+2ax+a^2=\left(x+a\right)^2$

Solving for $a$ ,

$2ax=-\frac{5}{2}x$

$a=-\frac{5}{4}$

$\mathrm{Add\:}a^2=\left(-\frac{5}{4}\right)^2\mathrm{\:to\:both\:sides}$

$x^2-\frac{5x}{2}+\left(-\frac{5}{4}\right)^2=-\frac{67}{2}+\left(-\frac{5}{4}\right)^2$

$x^2-\frac{5x}{2}+\left(-\frac{5}{4}\right)^2=-\frac{511}{16}$

Completing the square

$\left(x-\frac{5}{4}\right)^2=-\frac{511}{16}$

Since, you had required to know the first step in completing the square for the equation above, I hope you have got the point, but let me quickly solve the remaining solution.

For $f^2\left(x\right)=a$ the solution are $f\left(x\right)=\sqrt{a},\:-\sqrt{a}$

Solving

$x-\frac{5}{4}=\sqrt{-\frac{511}{16}}$

$x-\frac{5}{4}=\sqrt{-1}\sqrt{\frac{511}{16}}$

$x-\frac{5}{4}=i\sqrt{\frac{511}{16}}$ ∵ Applying imaginary number rule $\sqrt{-1}=i$

$x-\frac{5}{4}=i\frac{\sqrt{511}}{\sqrt{16}}$

$-\frac{5}{4}=i\frac{\sqrt{511}}{4}$

$x=\frac{5}{4}+i\frac{\sqrt{511}}{4}$

Similarly, solving

$x-\frac{5}{4}=-\sqrt{-\frac{511}{16}}$

$x-\frac{5}{4}=-i\frac{\sqrt{511}}{4}$ ∵ Applying imaginary number rule $\sqrt{-1}=i$

$x=\frac{5}{4}-i\frac{\sqrt{511}}{4}$

Therefore, the solutions to the quadratic equation are:

$x=\frac{5}{4}+i\frac{\sqrt{511}}{4},\:x=\frac{5}{4}-i\frac{\sqrt{511}}{4}$

4 0

2 years ago

5. THINK SMARTER There are 246 children at

kherson [118]

Answer:u can estimate 246 to 200 and u can estimate 328 to 300

Step-by-step explanation:

add 34

4 0

2 years ago