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Rudiy27
1 year ago
6

6.) Alan, Becky, Jesus, and Mariah are four students in the chess club. If two of these students will be selected to represent t

he school at a national convention, how many combinations of two students are possible? Your answer Please fill out this field.
Mathematics
1 answer:
Artist 52 [7]1 year ago
3 0

Let's begin by listing out the information given to us:

There are four students: n = 4

Number of students to be selected: r = 2

To calculate the combination of 2 students to be chosen, we use:

\begin{gathered} ^4C_2=\frac{n!}{(n-r)!}=\frac{4!}{(4-2)!}=\frac{4!}{2!} \\ ^4C_2=\frac{4\cdot3\cdot2\cdot1}{2\cdot1}=\frac{4\cdot3}{1}=12 \\ ^4C_2=12 \end{gathered}

Therefore, there 12 possible combinations from these

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3 years ago
Write the equation for the line in slope intercept form ​
Helen [10]

Answer:

  y = -2x -3

Step-by-step explanation:

The line crosses the y-axis at -3, so that is the y-intercept.

It has a "rise" of -2 units for each "run" of 1 unit, so the slope is -2. (For example, from point (-1, -1) to point (0, -3).)

The slope m and y-intercept b are used in the slope-intercept form of the equation of a line:

   y = mx + b

For the values this line has, the equation is ...

   y = -2x -3

6 0
3 years ago
If the length of the legs of a right triangle are 13 and 13,what is the length of the hypotenuse? Round your answer to the neare
mrs_skeptik [129]

Answer:

a² + b² = c²

13² + 13² = c²

169 + 169 = c²

338 = c²

c = √338 or 18.385 or 13√2

5 0
3 years ago
Read 2 more answers
Each one of four pies were cut into 8 pieces for dinner. After dinner there remained 1/2 of a pie, o pie, 3/8 of a pie and 5/$of
Marizza181 [45]

Answer: What you would have left is 12 pieces of pie

Step-by-step explanation: As stated in the question, one pie has been sliced into 8 pieces, and there are three pies in all. That means we had at the beginning 3 x 8 slices of pie which equals 24 pieces.

Also if each pie had been sliced into 8 pieces then each can be represented as 8/8. Therefore eating one slice would leave you with 7/8 (that is 8/8 minus 1/8).

So, each of the three pies now have the following left overs;

1/2, 3/8 and 5/8.

Adding them all together would give,

1/2 + 3/8 + 5/8

Using 8 as the common denominator

4/8 + 3/8 + 5/8

(4 + 3 + 5)/8

12/8.

Therefore, there would be 12 pieces left altogether, which can also be expressed as one pie and 4 pieces.

8 0
3 years ago
An equivalent expression for 4(x+2)+5(y+3)
Anit [1.1K]

Answer:

4x+5y+23

Step-by-step explanation:

4(x+2)+5(y+3)

4x+8+5y+15

4x+5y+8+15

4x+5y+23

7 0
3 years ago
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