How many more ways can 10 juniors running for the positions of president, vice president, secretary, treasurer be selected when compared to 12 sophomores running for 5 identical positions of class representative's?
Answers
There are ten people who can get into the first spot
Nine people for the second
8 people for the third
7 for the fourth
10x9x8x7= 5040 different ways.
For the sophomores: 12x11x10x9x8= 95040
However, the positions are identical which means that the order doesn't matter. (There's a difference between A getting postion 1, B for 2, C for 3, D for 4 and B for 1, A for 2, C for 3, D for 4)
There are 5 identical positions, therefore we divide this by 5! (5x4x3x2x1)= 120
95040/120= 792
Juniors have 5040 positions, sophomores have 792
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Answers
Answer:
No Solution: 2x + 3 = 4x + 3
Infinite Solutions: 2x + 3 = x + x + 3
Step-by-step explanation:
You're welcome
Answers
Answer:
The main answer: $4.84
Step-by-step explanation:
County A: Multiply the price by the sales tax to find out how much money the sales tax will add. Remember to convert percent to decimal!
$75 * 0.0725 = $5.4375
Add the original price and the sales tax.
$75 + $5.4375 = $80.4375
County B: Multiply the price by the sales tax to find out how much money the sales tax will add. Remember to convert percent to decimal!
$70 * 0.08 = $5.6
Add the original price and the sales tax.
$70 + $5.6 = $75.6
Then take the difference.
80.4375 – 75.6 = 4.8375
Round to the nearest hundredth: $4.84
I need someone to help me out with this one please.
Answers
-5k + 5 = 11
-5k = 6
k= -6/5
Answer:
-1.2
Step-by-step explanation:
2k+5-7k=8+3
2k-7k+5=11
-5k=11-5
-5k=6
-5k/5=6/5
k=-1.2
Answers
Answer:
9.6 km
Step-by-step explanation:
Issa jogged 2/3 of the way home from school.
Then he was tired, so he walked the remaining 3200 m.
In other words, the remaining 3200 m is 1/3 of the way from school to home.
Let the distance from school to home be x. Therefore:
Therefore, from school to home he traveled 9600 m.
To put this is kilometres:
1000 m = 1 km
9600 m = 9600 / 1000 = 9.6 km
He traveled 9.6 km from school to home.
Answers
20: 2, 2, 5
45x: 3, 3, 5, x
The only factor that both terms share is 5, so 5 is your GCF.
Answers
The sign of the quotient of two integers depends on the signs of the integers being divided.
Both integers are positive: When both integers are positive, the quotient will also be positive. This is because dividing positive numbers will always result in a positive value.
For example, if we divide 8 by 2, the quotient is 4
Positive divided by negative: When a positive integer is divided by a negative integer, the quotient will be negative. This is because dividing a positive number by a negative number results in a negative value.
For example, if we divide 10 by -2, the quotient is -5
In summary, the sign of the quotient of two integers depends on the signs of the integers being divided. If both integers are positive, the quotient will be positive. If a positive integer is divided by a negative integer, the quotient will be negative.