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makkiz [27]
2 years ago
13

In how many ways can 3

Mathematics
1 answer:
statuscvo [17]2 years ago
3 0
<h3>Answer:  2300</h3>

Work Shown:

_{n} C _{r} = \frac{n!}{r!(n-r)!}\\\\_{25} C _{3}  = \frac{25!}{3!*(25-3)!}\\\\_{25} C _{3}  = \frac{25!}{3!*22!}\\\\_{25} C _{3}  = \frac{25*24*23*22!}{3!*22!}\\\\ _{25} C _{3}  = \frac{25*24*23}{3!}\\\\ _{25} C _{3}  = \frac{25*24*23}{3*2*1}\\\\ _{25} C _{3}  = \frac{13800}{6}\\\\ _{25} C _{3}  = 2300\\\\

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Solve the inequality<br> x² + 6x + 8 &lt;0
baherus [9]

Answer:

look above

Step-by-step explanation:

hope it hepls

6 0
2 years ago
Are 0,2,5 closed or not under addition
kvasek [131]

Answer:

There are closed addition.

Step-by-step explanation:

Closure (mathematics) ... For example, the positive integers are closed under addition, but not under subtraction: is not a positive integer even though both 1 and 2 are positive integers. Another example is the set containing only zero, which is closed under addition, subtraction and multiplication.

So, 0,2,5 are closed addition

Please mark me brainliest.

3 0
3 years ago
david ran on a straight track. every time he ran 480m, he took a break. After 2 breaks, he still had to run 120 m to complete th
kipiarov [429]

Answer:

The distance of the playground is 540m

Step-by-step explanation:

Here, we are interested in calculating the length of the playground given the information in the question.

Where to attack the question from is the segment that states that he took a break after 480m and also had 2 breaks. Thus, the distance traveled would be 480 * 2 = 960 m

Now, to find the length of the track, we add the distance covered plus the distance uncovered. Mathematically that would be 960m + 120m = 1,080m

In the last part of the question, we are told that the track is twice as long as the playground. This means that the length of the playground or the distance of the playground is 1080/2 = 540 m

4 0
3 years ago
Is this true or false?
marusya05 [52]

Answer:

TRUE

Step-by-step explanation:

4 0
3 years ago
HELP!! I NEED THIS QUICKLY
Elza [17]

Answer:

A and D

Step-by-step explanation:

We are given that

(3/4,2/3),(1/4,1),(1,1/2) and (1/2,1)

x_1=\frac{3}{4}

y_1=\frac{2}{3}

x_2=\frac{1}{4},y_2=1

x_3=1,y_3=\frac{1}{2}

x_4=\frac{1}{2},y_4=1

k=\frac{1}{2}

Direct proportion:

\frac{x}{y}=k

Inverse proportion:xy=k

\frac{x_1}{y_1}=\frac{3}{4}\times \frac{3}{2}=\frac{9}{8}\neq \frac{1}{2}

Therefore, it is not in direct proportion.

\frac{1}{4\times 2}=\frac{1}{8}\neq\frac{1}{2}

\frac{1}{\frac{1}{2}}=2\neq \frac{1}{2}

x_1y_1=\frac{3}{4}\times \frac{2}{3}=\frac{1}{2}

x_2y_2=\frac{1}{4}\times 2=\frac{1}{2}

x_3y_3=1\times \frac{1}{2}=\frac{1}{2}

x_4y_4=\frac{1}{2}\times 1=\frac{1}{2}

Therefore, xy=k=\frac{1}{2}

Hence, the given points form an inverse variation .

xy=\frac{1}{2}

y=\frac{1}{2x}

Option A and D is true.

6 0
3 years ago
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