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sergij07 [2.7K]
2 years ago
8

A committee must be formed with 2 teachers and 3 students. If there are 10 teachers to choose from, and 13 students, how many di

fferent ways could the committee be made? ​
Mathematics
1 answer:
SIZIF [17.4K]2 years ago
3 0

Answer:

12870 ways

Step-by-step explanation:

10c2*13c3

10!/(10-2)!2! *13!/(13-3)!3!

[(10*9*8!)/8!*2*1] *[(13*12*11*10!)/10!*3*2*1]

45*286

12870 ways

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An open top box is to be made by a 24 in by 24 in. by 36 in. piece of cardboard by removing a square from each corner of the box
galben [10]

Answer:

X= -12 +6√10

X= 6.973

Step-by-step explanation:

Volume of the box= (36-2x)(24-2x)x

Volume of the box

=( 864 -96x -4x²)x

But 864 -96x -4x²

=216 - 24x-x²

Solving for x quadratically

X= (24+12√10)/-2

X= -12 -6√10

X= -30.97

Or

X= (24-12√10)/-2

X= -12 +6√10

X= 6.973

X will definitely be a positive number

So X= -12 +6√10

X= 6.973

4 0
3 years ago
Help me with these two questions thanks
umka2103 [35]
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7 0
2 years ago
How I do 4 boxes that weighed total of 34 kilograms if each box had the same amount
Blizzard [7]
Each box would have exactly 8.5 kilograms each in them. Hope this helps mate =)

4 0
3 years ago
Read 2 more answers
1. One week Carlos bought 3 bags of Tabitha Tidbits and 4 bags of Figaro Flakes for $43.00. The next week he bought 3 bags of Ta
d1i1m1o1n [39]
Tabitha Tidbits costs $7 per bag, and Figaro Flakes is $5.50 per bag.
You need to set up a system of equations. Use "x" for Tabitha Tidbits and "y" for Figaro Flakes, and let the total cost of each trip equal c. Using the equation ax+by=c, substitute the cost of each trip in for c, and the number of bags for each food for a and b respectively. The two equations will be:
3x+4y=43
3x+6y=54
Isolate x in the first equation and you will get:
x=(43-4y)/3
Substitute the above equation for x into the other equation:
3*((43-4y)/3)+6y=54
Isolate y in this equation, and you will get 11/2, which is 5.5
So the cost of one bag of Figaro Flakes is $5.50
Now substitute this into the equation where you isolated x:
(43-4(5.5))/3
You will get x=7, so a bag of Tabitha Tidbits is $7
3 0
3 years ago
if you're currently making $6.75 per hour and you were offered a new job that pays $7.47 per hour, what will be your percent of
worty [1.4K]

Answer:

10.67% increase

Step-by-step explanation:

We can find percent increase with (difference/original) x 100

7.47 - 6.75

= 0.72 (difference)

(0.72/6.75) x 100

= 10.67% increase

5 0
3 years ago
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