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ollegr [7]
3 years ago
11

ac{2}{3}(-9m+ 12)" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
iragen [17]3 years ago
4 0
-6m+8 it's the correct answer
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How many ways are there to choose a soccer team consisting of 3 forwards, 4 midfield players, and 3 defensive players, if the pl
klio [65]

Using the combination formula, it is found that there are 47,040 ways to form a soccer team.

<h3>What is the combination formula?</h3>

Each of the different groups or selections can be formed by taking some or all of a number of objects, irrespective of their arrangments is called a combination.

^mC_k = \dfrac{m!}{k! \times (m-k)!}

A soccer team consisting of 3 forwards, 4 midfield players, and 3 defensive players, if the players are chosen from 8 forwards, 6 midfield players and 8 defensive players

Since they are independent of each other, the total number of combinations will be;

^mC_k = \dfrac{8!}{3! \times (5)!}  \times \dfrac{6!}{4! \times (2)!} \times \dfrac{8!}{3! \times (5)!} \\\\^mC_k =47,040

Hence, There are 47,040 ways to form a soccer team.

More can be learned about the combination at brainly.com/question/25821700

#SPJ1

7 0
2 years ago
What is the value of 47 × 12 + 12 × 53 + 53 × 8 + 8 × 47?
OLga [1]
The answer is 2,000.
6 0
3 years ago
Read 2 more answers
I already solved this but I'm confused if the answer is A or C?
irinina [24]
The answer is C. a 4.5 feet, b. 30 feet
8 0
2 years ago
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1. Is the following a Function? (2,3) (4,7) (3,9) (5,7)
tia_tia [17]

Answer: like wheres the graph

do u have a graph

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Machine A produces bolts at a uniform rate of 120 every 40 seconds, and Machine B produces bolts at a uniform rate of 100 every
Nutka1998 [239]

Answer:

25 seconds

Step-by-step explanation:

Hi there!

In order to answer this question, first we need to know how many bolts per second are produced by each machine, this can be known by dividing the number of bolts by the time it takes.

For machine A:

A = \frac{120 bolts}{40 s}= 3 \frac{bolts}{s}

For machine B:

B = \frac{100 bolts}{20 s}= 5 \frac{bolts}{s}

So, if the two machines run simultaneously, we will have a rate of prodcution of bolts equal to the sum of both:

A+B=(3+5)\frac{bolts}{s}=8\frac{bolts}{s}

Now, we need to know how much time it will take to producee 200 bolts, to find this out we need to divide the amount of bolts by the production rate:

t = \frac{bolts}{ProductionRate}= \frac{200 bolts}{8 \frac{bolts}{s} }

The <em>bolts</em> unit cancell each other and we are left with <em>seconds</em>

t = \frac{200}{8} s = 25 s

So it will take 25 seconds to produce 200 bolts with machine A and B running simultaneously.

Greetings!

4 0
3 years ago
Read 2 more answers
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